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A BIOGRAPHICAL SKETCH OF PROFESSOR LUIGI M. RICCIARDI(March 29, 1942 – May 7, 2011)

Aniello Buonocore, Antonio Di Crescenzo, Virginia Giorno, Amelia G. Nobile

1 Introduction Professor Luigi M. Ricciardi died in Naples on May 7, 2011. He wasa learned and distinguished scientist, having great intellectual depth, humanity and sen-sitivity, widely appreciated in Italy and abroad. He developed many innovative researchcontributions, specially focused on Cybernetics, on the theory of stochastic processes and itsapplications to biomathematics and complex systems, including the related computationalaspects. His creative ideas have opened up novel areas for investigation on which numerousdisciples and colleagues have been, and still are, intensively working.

He spent many research periods as visiting professor at a number of foreign Universities,such as the University of New York (SUNY at Stony Brook), of Osaka, of Cornell and ofKyoto, where he held courses at the local Ph.D. schools and supervised the research activityof Ph.D. students. As invited lecturer, he held seminars and plenary talks in the biggestNorth American, European and Far eastern scientific institutions, by establishing scientificand friendship relationships. By virtue of his great organizational abilities he held manyinstitutional roles.

He has left the indelible memory of his teachings, charisma, intellectual honesty andcultural depth. All those who had the privilege of working with him or under his guidanceacknowledge him as a real “Maestro”. His death left an unbridgeable gap in all personswho met and appreciated him.

2 A biographical sketch Professor Luigi M. Ricciardi was born in S. Maria CapuaVetere (CE) on March 29, 1942. He obtained the degree in Physics from the Universityof Naples in 1964. Subsequently, he obtained the Diploma of Specialization in Theoreticaland Nuclear Physics in 1967 and his “Libera Docenza” in Cybernetics and InformationTheory (Italian Ministry of Education) in 1971. His interest in biomathematics startedjust in this period, when he published the first works of mathematical modelling of neu-ral networks. His interdisciplinary background was even more increased by the lively andstimulating scientific environment characterizing the University of Naples and the NationalResearch Council (CNR) in those years, thanks to Professor Eduardo R. Caianiello. Greatscholars were invited to Naples in those years, and on these occasions Luigi M. Ricciardihad the opportunity of meeting many well-known scientists, such as Professors NorbertWiener, Warren McCulloch, Werner Reichardt, Marc Schutzenberger, Ilya Prigogine andRudolf Kalman. Particularly the presence in Naples of Norbert Wiener in those years wasa big encouragement for Luigi M. Ricciardi, to face with mathematical methods the studyof problems that Wiener himself synthetized under the name of “Cybernetics”. The at-traction that Luigi M. Ricciardi had for this new science and his wish to spread it amongthe Italian scientific community, led him to publish in 1971, the book Introduction to Cy-bernetics (in Italian), Franco Angeli Editor. The book was written in collaboration withProfessor Aldo de Luca, his colleague at university, his dear friend, and his co-author ofa number of scientific works of the first years of his research activity. In those years hemet other important people, such as Professor Hiroomi Umezawa, with whom he suggestedthe idea of the Quantum Brain in an article published in 1967, and Professor Valentino

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Braitenberg, a specialist in neurology and neuroanatomy. He spent many periods in for-eign research institutes. In particular in 1967 he was visiting professor at the University ofBoulder in Colorado invited by Professor Francis O. Schmitt, where he worked within the“Neurosciences Research Program, Intensive Study Program”.

From 1967 to 1976 Professor Ricciardi was researcher at the Cybernetics Institute ofCNR in Arco Felice, Naples, where he was substitute Director from November 1974 toJanuary 1976. In those years the Institute get successful results both in the field of neuro-physiology and in the mathematical formulation of models for the study of the brain thanksto the presence of bright young students. The first scientific works by Luigi M. Ricciardidate back to this period, in collaboration with Eduardo R. Caianiello, Aldo de Luca, Ram-abhadra Vasudevan and Hiroomi Umezawa. His long scientific collaboration with ProfessorRenato M. Capocelli also started in this period. In September 1970, Luigi M. Ricciardimet for the first time Professor Tadashige Ishihara, invited by Caianiello at the Cybernet-ics Institute of CNR. This event represented the beginning of a long and fruitful scientificcollaboration between the two scientists, which would last for four decades.

From 1969 to 1976 Luigi M. Ricciardi was Assistant Professor of Mathematical Biologyat the University of Chicago and worked within the Committee on Mathematical Biol-ogy and at the Department of Theoretical Biology of the University of Chicago, directedby Professor Jack D. Cowan. There he was in contact with important mathematicians,biologists, physicists and engineers, such as Professors Richard C. Lewontin, Arnold J.F.Siegert, Samuel Karlin, Subrahmanyan Chandrasekar, Michael A. Arbib, Stuart A. Kauff-mann, Michael E. Jones, developing researches according to the scientific lines outlined byWarren McCulloch and Norbert Wiener. In these years, Professor Ricciardi held courseswithin the Ph.D. program in Theoretical Biology and he was a mentor for some researchers,including Professors Paul Cull, Charles E. Smith and Henry C. Tuckwell. His activity ledto the publication in 1977 of the book Diffusion Processes and Related Topics in Biology(Lecture Notes in Biomathematics, Vol. 14, Springer-Verlag), based on the notes taken byCharles E. Smith during his lessons. This book shows the role of stochastic processes inapplied fields, mainly in the context of population biology and neurobiology, thus providinga new approach to these subjects and inspiring other studies in biomathematics. LuigiM. Ricciardi continued his scientific collaboration with Renato M. Capocelli, during hisvisits at the University of Chicago, thus setting the foundations for most of his researcheson biological modelling based on diffusion processes. His correspondence with ProfessorFrancesco G. Tricomi started in this period. It was motivated by a problem of Laplacetransform inversion, required for the solution of a biological problem. In 1973 Luigi M.Ricciardi spent a period at the Department of Electrical Engineering of the University ofWisconsin-Madison, where he was in contact with Professor Alwyn C. Scott.

In 1975, Professor Ricciardi taught Probability and Statistics for the degree in ComputerSciences at the University of Salerno. In 1976 he became Professor of Cybernetics and In-formation Theory at the University of Turin. In 1977 he moved to the University of Salerno,where he remained until 1981 as teacher of Cybernetics. In this period he contributed tothe development of the Faculty of Mathematics, Physics and Natural Sciences, also as Di-rector of the Computer Sciences Institute from 1979 to 1981. From 1978 to 1981 he wasalso a member of the Admistration Council of the University of Salerno. He continued hisscientific collaboration with Renato M. Capocelli about issues of theoretical neurobiology,population dynamics and information theory, until 1981. Their close friendship remaineduntouched until the death of Capocelli occurred in April 1992; later Luigi M. Ricciardiwould remember him as his “unforgettable friend Renato”.

In 1981, Luigi M. Ricciardi moved as Professor of Probability to the University of NaplesFederico II, as member of the Department of Mathematics and Applications “Renato Cac-

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cioppoli”. Here, he was involved in several institutional activities, as President of the DegreeCourse in Mathematics from 1984 to 1987, as member of the Council of Pole of Sciencesand Technologies from 1999, and as Vice President of it from 2003 to 2005. His very activeparticipation into the life of the academic community, distinguished himself both for hisprecious human qualities and for his high sense of duty.

Since the first year of the establishement (1983), he dedicated his energies to the Ph.D.in Applied Mathematics and Computer Science, later named Ph.D. in Computation and In-formation Sciences, being the Coordinator of this course and also one of his most convincedpromotors. Such Ph.D. course, being of an interdisciplinary kind, has always attractedgraduates in several scientific areas, coming above from all, but not only, the universi-ties joined in consortium (Catania, Naples “Federico II”, the Second University of Naples,Salerno and Palermo). The book Lectures in Applied Mathematics and Informatics (L.M.Ricciardi, Ed.), published in 1990 by Manchester University Press, is a collection of papersdealing with various problems of interest in information theory, biomathematics and, espe-cially, theory and application of stochastic diffusion processes and functionals of Brownianmotions.

Over the years this Ph.D. course contributed to the training of youths who today areprofessors and researchers in many universities and scientific institutions. Luigi M. Riccia-rdi was engaged in the scientific training of many of these students. In spite of his manyinstitutional commitments, he carried out his research activity with enthusiasm, in collab-oration with foreign researchers, by aggregating young Italian graduates and by orientingtheir research on topics of biomathematics, with special reference to mathematical modelsof systems in stochastic evolution.

Professor Ricciardi invited several guests to the University of Naples, in order to holdseminars, to spend research periods provided within national and international projectsand to participate into a variety of meetings organized by himself. We recall the scientificcollaboration with Shunsuke Sato about theoretical and computational aspects of stochasticprocesses, which was particularly intense over years, this leading to frequent visits andfruitful relationships involving also their collaborators. We also recall the close cooperationwith Professor Simon A. Levin (Princeton University).

In 1974, Luigi M. Ricciardi participated in the 2nd European Meeting in Cybernetics andSystems Research organized by Professors Robert Trappl and Franz Pichler at the Universityof Wien. It was such a great success that Robert Trappl invited him to organize and chair asymposium on “Biocybernetics and Theoretical Biology” for 18 times, every two years until2010. The Austrian Society for Cybernetic Studies (Osterreichische Studiengesellschaft furKybernetik) conferred on him the title of Honorary Member of the Society.

In 1980, Luigi M. Ricciardi met Professor Ei Teramoto at the “Symposium on Cyber-netics in Biology and Medicine” organized at the University of Wien, this marking thebeginning of a scientific collaboration lasted over 15 years with frequent visits of Ricciardito the University of Kyoto and of Teramoto and his group, including Professor NanakoShigesada, to the University of Naples.

From 1993 to 2011, Luigi M. Ricciardi periodically took part into the biennal “Inter-national Conference on Computer Aided Systems Theory” (EUROCAST), organized byProfessors Roberto Moreno Diaz and Franz Pichler in Las Palmas de Gran Canaria, Spain.Since 1999, he was chairman of a session on computation and simulation in modelling bio-logical systems.

Professor Ricciardi was the President of the Scientific Council of the International In-stitute for High Scientific Studies “Eduardo Caianiello” (IIASS) and a member of somescientific societies including the Osterreichische Studiengesellschaft fur Kybernetik (hon-orary member), the New York Academy of Sciences (life member), Accademia di Scienze

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Fisiche e Matematiche in Napoli (life member). He played an important role in the birthand growth of the Institute for Applications of Calculation “Mauro Picone” of the NationalResearch Council (CNR) in Naples; he was member of the Scientific Council from 1981 to1997, and President of such a Council from 1995 to 1997. He also played a relevant rolein the first development of the Research Centre for Informatics and Industrial Automation(CRIAI) in Portici.

Professor Ricciardi promoted and was the scientific director of international researchprojects, supported by the National Research Council (CNR), by universities and by theRegional Administration of Campania. In particular, a bilateral project between the CNRand the Japanese Society for the Promotion of Science dates back to 1983, and was entitled“Competition and Cooperation in Complex Dynamical Systems”. The Japanese group wascoordinated by Ei Teramoto (University of Kyoto) and was composed by Professors Shun-ichi Amari (University of Tokyo), Takeyuki Hida (University of Nagoya), Shunsuke Sato(University of Osaka) and Masaya Yamaguti (University of Kyoto). This project allowedthe continuous exchange, over many years, of researchers between the two countries.

Professor Ricciardi was the national coordinator of 5 two-year research projects of na-tional interest (PRIN) from 1988 to 2010, in which research groups composed by his studentsfrom the Universities of Naples, Basilicata, Reggio Calabria, Salerno and Turin, took part.From 1998 to 2002 he was the Italian scientific coordinator of a bilateral five-year projecton a topical subject of strategic importance (nanotechnologies and molecular motors) de-veloped by the Japan Science and Technology Agency (JST) in collaboration with theUniversity of Naples Federico II, and with the participation of Toshio Yanagida of the Uni-versity of Osaka, as scientific coordinator of the Japanese group. From 2008 to 2010 he wasthe Italian coordinator of a two-year program of scientific cooperation “Integrated ActionsItaly-Spain”, entitled “Stochastic diffusion processes and application to growth models”between the University of Granada, with Professor Ramon Gutierrez J. coordinator of theSpanish team, and the University of Naples Federico II.

In the organization and planning of many activities Luigi M. Ricciardi was supportedby his wife, Professor Kimiko Nakagawa, and his daughter Tonia. We recall, for instance,the following international meetings chaired by him:– Biomathematics: Current Status and Future Perspectives, together with Alwyn C. Scott,in Raito (Salerno), April 1980,– Biomathematics and Related Computational Problems, in Naples and Anacapri, May 1987,– First Passage Time Problems and Applications, in Naples, June 1993,– Mathematical Modeling and Subcellular Biology, in Vietri sul Mare (Salerno), January-February 2001,– BIOCOMP2002 - Topics in Biomathematics and Related Computational Problems at theBeginning of the Third Millennium, in Vietri sul Mare (Salerno), June 2002,– BIOCOMP2005 - Diffusion Processes in Neurobiology and Subcellular Biology, in Vietrisul Mare (Salerno), December 2005,– BIOCOMP2007 - Collective Dynamics: Topics on Competition and Cooperation in theBiosciences, in Vietri sul Mare (Salerno), September 2007.

The above events received the lively participation of large numbers of experts in appliedmathematics, bioinformatics, theoretical biology, and biophysics, contributing to create astimulating interdisciplinary scientific environment.

Professor Ricciardi was editor of many scientific volumes and was Associate Editor ofScientiae Mathematicae Japonicae, Cybernetics and Systems: An International Journal,Applied Stochastic Models and Data Analysis and Ricerche di Matematica. In particular, asmember of the Advisory Board of the journals published by the International Society forMathematical Sciences, Luigi M. Ricciardi collaborated with Tadashige Ishihara as man-

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aging editor, helping him in the editing of a large number of articles. Prof. Ishihara, whowas also interested in the applications of mathematics to cybernetics, economy and otherareas, wished to publish some articles presented at the conferences BIOCOMP2002, BIO-COMP2005 and BIOCOMP2007 in some special issues of Scientiae Mathematicae Japoni-cae.

Notices of the death of Professor Ricciardi appeared in various scientific journals andmagazines, such as “Cybernetics and Systems: An International Journal”, the Society forMathematical Biology (SMB) Newsletter, the News of the International Federation forSystems Research (IFSR), the Notices of the Italian Mathematical Union (UMI), the Noticesof the Italian Society of Applied and Industrial Mathematics (SIMAI).

Various memorials were dedicated to him, where several colleagues and friends heartilyparticipated. We recall, in particular, the “Workshops on Noise and nonlinear dynamicsin neural information processing” within the Computational Neuroscience Meeting 2011 inStockholm, July 27, 2011, the Meeting in the Memory of Luigi M. Ricciardi, held at theUniversity of Naples on October 11, 2011, the International Conference “BIOCOMP 2012 –Mathematical Modeling and Computational Topics in Biosciences”, Vietri sul Mare, June 4-8, 2012, the Workshop “Modelling Biological Systems” within the Fourteenth InternationalConference on Computer Aided Systems Theory, Las Palmas, February 10-15, 2013. It isworthwhile to mention also the Invited Lecture “Randomness and Dynamic Systems: ATribute to Luigi M. Ricciardi”, delivered by one of the authors at the latter conference,as well as the Luigi Ricciardi Memorial Lecture “Forty Years in Biocybernetics”, given byPeter Erdi at the 21th European Meetings on Cybernetics and Systems Research, Vienna,April 10-13, 2012.

3 Research interests The researches carried out by Professor Ricciardi concern theconstruction and analysis of models, based on stochastic processes of different kinds, aimedto describe the behaviour of some dynamic systems, and the systematic development ofstatistical-computational algorithms and simulation techniques playing a fundamental rolein the management and implementation of their models. Some of the research topics dealtwith by him can be summarized as follows:

• identification and analysis of the fundamental characteristics of unidimensional and mul-tidimensional, discrete, continuous or mixed-with-jump stochastic processes;

• research of closed-form solutions or development of suitable algorithms, for determin-ing the density of the first-crossing times in one or more dimensions, under suitablehypotheses on the underlying stochastic processes and their limits;

• development of precise, asymptotic and simulation methods for determining the proba-bility density and their statistics in suitable stochastic models;

• formalization and analysis of neuronal dynamic models based on diffusion and Gaussianprocesses, in order to analyze the aspects related to the transmission of informationin neural units;

• construction and analysis of probabilistic methods for the description of biological motorswithin the context of the actin-myosin interaction;

• investigation on the properties of probabilistic methods suitable to describe populationgrowth in a random environment;

• analysis of queueing systems, also in the presence of catastrophes and their continuousapproximations;

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• solution of problems of stochastic ordering and in general, reliability and theory ofinformation, by the development of suitable analytical and computational methods.

He is the author or co-author of over 200 publications, mostly included in internationaljournals, among them there are also many books. In particular in 1995, he contributedto the huge work Handbook of Brain Theory & Neural Networks, MIT Press, edited byMichael A. Arbib, about diffusion models of neural activity, which was published in itssecond edition in 2003 and Petr Lansky was its co-author. In 2003, once again with PetrLansky he contributed to the Enciclopedia of Cognitive Sciences (Nature Publishing Group),edited by Lynn Nadel.

We end this biography remembering the words that he wrote in an article in memory ofErnesto Cesaro: “A wise man wrote: a true scientist is only a child who, not satisfied withthe teachings of adults, does not stop, in wonder, to ask questions to Nature . . . and I add,. . . above all to himself . . .”

Aniello Buonocore: Dipartimento di Matematica e Applicazioni “R. Caccioppoli”,Universita di Napoli “Federico II”, Via Cintia, 80126, Napoli, Italy,Email: aniello.buonocore@unina.itAntonio Di Crescenzo: Dipartimento di Matematica “Universita di Salerno, ViaPonte don Melillo, 84084 Fisciano (SA), ItalyEmail: adicrescenzo@unisa.itVirginia Giorno: Dipartimento di Studi e Ricerche Aziendali (Management &Information Technology), Universita di Salerno, Via Ponte don Melillo,84084 Fisciano (SA), ItalyEmail: giorno@unisa.itAmelia G. Nobile: Dipartimento di Studi e Ricerche Aziendali (Management& Information Technology), Universita di Salerno, Via Ponte don Melillo,84084 Fisciano (SA), ItalyEmail: nobile@unisa.it

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LIST OF PUBBLICATIONS OF LUIGI M. RICCIARDI

[1] Ricciardi L.M. and Esposito F. (1966) On some distribution functions for non linearswitching elements with finite dead time. Kybernetik 3, 148–152.

[2] Ricciardi L.M. (1967) Analysis of spike trains in terms of delayed coincidences. ExperimentalBrain Research 3, 1–11.

[3] de Luca A. and Ricciardi L.M. (1967) Formalized neuron: probabilistic description andasymptotic theorems. Journal of Theoretical Biology 14, 206–217.

[4] De Raffaele T. and Ricciardi L.M. (1967) Codificatore elettronico di forme bidimen-sionali. Alta Frequenza 36, 220–224.

[5] Caianiello E.R., de Luca A. and Ricciardi L.M. (1967) Reverberations and control ofneural networks. Kybernetik 4, 10–18.

[6] Ricciardi L.M. and Umezawa H. (1967) Brain and physics of many–body problems. Ky-bernetik 4, 44–48.

[7] de Luca A. and Ricciardi L.M. (1968) Probabilistic description of neurons. In Neural Net-works (Caianiello E.R., ed.) 100–109, Proceeding of the School on Neural Network (Ravello,June 1967), Springer–Verlag, Berlin.

[8] de Luca A., Levialdi S. and Ricciardi L.M. (1968) Progettazione e controllo di una retedi elementi a soglia lineari. Alta Frequenza 37, 1–9.

[9] Caianiello E.R., de Luca A. and Ricciardi L.M. (1968) Neural networks: reverbera-tions, constants of motion, general behavior. In Neural Networks (Caianiello E.R., ed.) 92–99,Proceeding of the School on Neural Network (Ravello, June 1967), Springer–Verlag, Berlin.

[10] de Luca A., Ricciardi L.M. and Umezawa H. (1968) Self–consistent treatment of acrystal–like model. Physica 40, 61–76.

[11] de Luca A. and Ricciardi L.M. (1969) Decomposition of a matrix as the sum of directproducts. Applications to neural networks. Calcolo 6, 225–237.

[12] de Luca A., Ricciardi L.M. and Vasudevan R. (1970) Note on relating Pfaffians andHafnians with determinants and permanents. Journal of Mathematical Physics 11, 530–535.

[13] de Luca A., Ricciardi L.M. and Vasudevan R. (1970) Random matrices and neuralnetworks. Kybernetik 6, 163–167.

[14] Ricciardi L.M. and Ventriglia F. (1970) Probabilistic models for determining the input–output relationship in formalized neurons. I. A theoretical approach. Kybernetik 7, 175–183.

[15] Capocelli R.M. and Ricciardi L.M. (1971) Diffusion approximation and first passagetime problem for a model neuron. Kybernetik 8, no. 6, 214–223.

[16] Ricciardi L.M. (1971) Formalized neurons and neural networks. In First European Bio-physics Congress (Broda E., Locker A. and Springer–Lederer H., eds.), 297–315. (14–17September 1971, Baden, Austria) Verlag der Wiener Medizinischen Akademie, Vienna.

[17] Capocelli R.M. and Ricciardi L.M. (1971) Diffusion models for formalized neurones. InAtti del Congresso di Cibernetica (Baldocchi M.A. and Lenci F., eds.), 818–836, (CascianaTerme, Italy, 11–13 October 1971), Lito Felici, Pisa.

[18] Capocelli R.M. and Ricciardi L.M. (1971) Population growth as a diffusion process. InAtti del Congresso di Cibernetica (Baldocchi M.A. and Lenci F., eds.), 837–854, (CascianaTerme, Italy, 11–13 October 1971), Lito Felici, Pisa.

[19] Capocelli R.M. and Ricciardi L.M. (1972) On the inverse of the first passage time prob-ability problem. J. Appl. Prob. 9, 270–287.

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[20] Capocelli R.M. and Ricciardi L.M. (1972) Population growth in the presence of regula-tion. In Proc. 2nd Cybernetics Cong. (Baldocchi M.A., ed.), 301–308, (Casciana Terme, Italy,25–27 October 1972), Lito Felici, Pisa.

[21] Ricciardi L.M. (1972) Diffusion approximations in neuronal modelling and populationgrowth. In Proc. 2nd Cybernetics Cong., (Baldocchi, M.A., ed.), 43–60, (Casciana Terme,Italy, 25–27 October 1972), Lito Felici, Pisa.

[22] Capocelli R.M. and Ricciardi L.M. (1973) A continuous Markovian model for neuronalactivity. Journal of Theoretical Biology 40, 369–387.

[23] Capocelli R.M. and Ricciardi L.M. (1974) A diffusion model for population growth inrandom environment. Theoretical Population Biology 5, 28–41.

[24] Capocelli R.M. and Ricciardi L.M. (1974) Growth with regulation in random environ-ment. Kybernetik 15, 147–157.

[25] Capocelli R.M. and Ricciardi L.M. (1974) Continuous models for frequency–density–dependent selection. Mathematical Biosciences 22, 197–209.

[26] Ricciardi L.M. (1975) Stochastic equations in ecology and neurobiology. In Progress in Cy-bernetics and Systems Research, Vol. I: General systems, engineering systems, biocyberneticsand neural systems (Trappl R. and Pichler F., eds.), 183–188 (Second European Meeting,Vienna, 1974), Hemisphere Publishing Corporation, Washington D.C.

[27] Capocelli R.M. and Ricciardi L.M. (1975) A note on growth processes in random envi-ronment. Biological Cybernetics 18, 105–109.

[28] Ricciardi L.M. (1976) Diffusion approximation for a multi–input model neuron. BiologicalCybernetics 24, 237–240.

[29] Ricciardi L.M. (1976) On the transformation of diffusion processes into the Wiener process.Journal of Mathematical Analysis and Applications 54, no. 1, 185–199.

[30] Capocelli R.M. and Ricciardi L.M. (1976) On the transformation of diffusion processesinto the Feller process. Mathematical Biosciences 29, no. 3–4, 219–234.

[31] Ricciardi L.M. (1978) Introduction. In Progress in Cybernetics and Systems Research, Vol.III (Trappl R., Klir G.J. and Ricciardi L.M., eds.), 367–368, Hemisphere Publishing Corpo-ration, Washington D.C.

[32] Capocelli R.M. and Ricciardi L.M. (1978) On certain diffusion approximations to pop-ulation growth in random environment. In Progress in Cybernetics and Systems Research(Trappl R., Klir G.J. and Ricciardi L.M., eds.), Vol. III, 657–662, Hemisphere PublishingCorporation, Washington D.C.

[33] Ricciardi L.M. (1978) Diffusion approximations to neuronal activity and to the time de-pendent threshold problem. In Progress in Cybernetics and Systems Research (Trappl R.,Klir G.J. and Ricciardi L.M., eds.), Vol. III, 570–579, Hemisphere Publishing Corporation,Washington D.C.

[34] Capocelli R.M. and Ricciardi L.M. (1978) A heuristic approach to feature extractionand compression for written languages. a. Pubblicazioni IAC (Istituto per le Applicazionidel Calcolo “Mauro Picone”), Serie III, no. 125, 3–12, Roma; b. In Proc. 4th InternationalConference on Pattern Recognition, 364–368, Kyoto, Japan.

[35] Capocelli R.M. and Ricciardi L.M. (1978) On the role of noise in systems dynamics. InProc. International Conference on Cybernetics and Society, 1058–1064, Tokyo, Japan.

[36] Ricciardi L.M. (1979) Processi di diffusione e problemi di primo passaggio in biomatematica.Bollettino Unione Matematica Italiana (U.M.I.) 16–A, 427–440.

[37] Capocelli R.M. and Ricciardi L.M. (1979) A cybernetic approach to population dynamicsmodeling. Journal of Cybernetics 9, 297–312.

[38] Ricciardi L.M. (1979) On a conjecture concerning population growth in random environ-ment. Biological Cybernetics 32, 95–99.

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[39] Ricciardi L.M. and Sacerdote L. (1979) The Ornstein–Uhlenbeck process as a model forneuronal activity. I. Mean and variance of the firing time. Biological Cybernetics 35, 1–9.

[40] Ricciardi L.M. and Sacerdote L. (1980) The first passage time problem with applicationsto neuronal modeling. In Applications of Information and Control Systems (Lainiotis D.G.and Tzannes N.S., eds.), Vol. III, 226–236, Second International Conference on InformationSciences and Systems (July 9–14, 1979, University of Patras, Greece), D. Reidel PublishingCompany, Dordrecht.

[41] Nobile A.G. and Ricciardi L.M. (1980) Growth and extinction in random environment.In Applications of Information and Control Systems (Lainiotis D.G. and Tzannes N.S., eds.),Vol. III, 455–465, Second International Conference on Information Sciences and Systems (July9–14, 1979, University of Patras, Greece), D. Reidel Publishing Company, Dordrecht.

[42] Capocelli R.M. and Ricciardi L.M. (1980) The entropy of written Italian. In Advancesin Communications (Lainiotis D.G. and Tzannes N.S., eds.), Vol. I, 96–100, (Second Inter-national Conference on Information Sciences and Systems (July 9–14, 1979, University ofPatras, Greece), D. Reidel Publishing Company, Dordrecht.

[43] Ricciardi L.M. (1980) Stochastic equations in neurobiology and population biology. In VitoVolterra Symposium on Mathematical Models in Biology (Barigozzi C., ed.), (Rome, December17–21, 1979), Lecture Notes in Biomathematics 39, 248–263. Springer–Verlag, Berlin.

[44] Cerbone G., Ricciardi L.M. and Sacerdote L. (1981) Mean variance and skewness ofthe first passage time for the Ornstein-Uhlenbeck process. a. Pubblicazioni IAC (Istituto perle Applicazioni del Calcolo “Mauro Picone”), Serie III, no. 209, 1–37, Roma; b. Cyberneticsand Systems: An International Journal 12, n. 4, 395–429.

[45] Favella L., Reineri M.T., Ricciardi L.M. and Sacerdote L. (1982) First passage timeproblems and some related computational methods. Cybernetics and Systems: An Interna-tional Journal 13, no. 2, 95–128.

[46] Nobile A.G., Ricciardi L.M. and Sacerdote L. (1982) On Gompertz growth model andrelated difference equations. Biological Cybernetics 42, 221–229.

[47] Ricciardi L.M. and Scott A.C. (1982) Introduction. In Biomathematics in 1980 (RicciardiL.M. and Scott A., eds.), North-Holland Mathematical Studies 58, pages v-vii, North HollandPublishing Company, Amsterdam.

[48] Nobile A.G., Ricciardi L.M. and Sacerdote L. (1982) On a class of difference equa-tions modeling growth processes. In Biomathematics in 1980 (Ricciardi L.M. and Scott A.,eds.), North-Holland Mathematical Studies 58, 217–244, North Holland Publishing Company,Amsterdam.

[49] Ricciardi L.M. (1982) Diffusion approximation and computational problems for single neu-rons’ activity. In Competition and Cooperation in Neural Nets (Amari S. and Arbib M.A.,eds.), Proceedings of the U.S.–Japan Joint Seminar held at Kyoto (February 15–19, 1982),Lecture Notes in Biomathematics 45, 142–154. Springer–Verlag, Berlin.

[50] Capocelli R.M. and Ricciardi L.M. (1982) Growth and extinction: a question of mod-eling?. In Progress in Cybernetics and Systems Research (Pichler F.R. and Trappl R., eds.)Vol. VI, 23–24, Hemisphere Publishing Corporation, Washington.

[51] Ricciardi L.M. (1982) Cybernetics in Biology and Medicine: An Introduction. In Cybernet-ics and Systems Research (Trappl R., ed.), 263–264, Proceedings of the 6th European Meetingon Cybernetics and Systems Research, North-Holland Publishing Company, Amsterdam.

[52] Ricciardi L.M. (1983) Cybernetics and biology: classical attempts at neuronal modeling.In Cybernetics: Theory and Applications (R. Trappl, ed.), 141–158. Hemisphere PublishingCorporation, Washington.

[53] Ricciardi L.M., Sacerdote L. and Sato S. (1983) Diffusion approximation and first pas-sage time problem for a model neuron. II. Outline of a computational method. MathematicalBiosciences 64, no. 1, 29–44.

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[54] Ricciardi L.M. and Sato S. (1983) A note on first passage time problems for Gaussianprocesses and varying boundaries. IEEE Transactions on Information Theory, Vol. IT–29,no. 3, 454–457.

[55] Ricciardi L.M. and Sato S. (1983) A note on the evaluation of first–passage–time proba-bility densities. J. Appl. Prob. 20, no. 1, 197–201.

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[58] Nobile A.G., Ricciardi L.M. and Sacerdote L. (1984) On a class of discrete modelsfor regulated growth with intrinsic lower bounds. In Cybernetics and Systems Research 2 (R.Trappl, ed.), 281–291, Proceeding of the 7th European Meeting on Cybernetics and SystemsResearch (24–27 April 1984, Vienna), North Holland, Amsterdam.

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[60] Nobile A.G., Ricciardi L.M. and Sacerdote L. (1985) A note on first–passage time andsome related problems. J. Appl. Prob. 22, no. 2, 346–359.

[61] Nobile A.G., Ricciardi L.M. and Sacerdote L. (1985) Exponential trends of Ornstein-Uhlenbeck first–passage–time densities. J. Appl. Prob. 22, no. 2, 360–369.

[62] Nobile A.G., Ricciardi L.M. and Sacerdote L. (1985) Exponential trends of first–passage–time densities for a class of diffusion processes with steady-state distribution. J.Appl. Prob. 22, no. 3, 611–618.

[63] Balossino N., Ricciardi L.M. and Sacerdote L. (1985) Evaluation of first passage timedensities for diffusion processes. Cybernetics and Systems: An International Journal 16, no.4, 325–339.

[64] Ricciardi L.M. (1985) Diffusion approximations and first passage time problems in popula-tion biology and neurobiology. In Mathematics in Biology and Medicine (Capasso V., GrossoE. and Paveri-Fontana S., eds.), (Bari, July 18–22,1983), Lecture Notes in Biomathematics57, 455–468, Springer–Verlag, Berlin.

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[66] Giorno V., Nobile A.G. and Ricciardi L.M. (1986) On some diffusion approximationsto queueing systems. Adv. Appl. Prob. 18, 991–1014.

[67] Buonocore A., Nobile A.G. and Ricciardi L.M. (1986) A new algorithmic approachto first–passage–time problems. In Cybernetics and Systems ’86 (Trappl R., ed.), 359–366,Proceedings of the 8th European Meeting on Cybernetics and Systems Research (1–4 April1986), D. Reidel Publishing Company, Dordrecht.

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[73] Ricciardi L.M. and Sato S. (1986) First passage time p.d.f. and moments for the O.U.process. In Japanese. IT86–58, 53–58.

[74] Matsuda H., Kawasaki K., Shigesada N., Teramoto E. and Ricciardi L.M. (1987)Evolutionary and ecological stability of prey–predatory systems with predatory switching.In Mathematical Topics in Population Biology, Morphogenesis and Neurosciences (TeramotoE. and Yamaguti M., eds.), Proceedings Kyoto 1985, Lecture Notes in Biomathematics 71,172–181, Springer–Verlag, Berlin.

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[76] Buonocore A., Nobile A.G. and Ricciardi L.M. (1987) A new integral equation for theevaluation of first–passage–time probability densities. Adv. Appl. Prob. 19, no. 4, 784–800.

[77] Giorno V., Nobile A.G. and Ricciardi L.M. (1987) On some time–non–homogeneousdiffusion approximations to queueing systems. Adv. Appl. Prob. 19, no. 4, 974–994.

[78] Ricciardi L.M. (1987) Outline of some recent results on the first–passage–time problemin biological modeling. In Mathematical Topics in Population Biology, Morphogenesis andNeurosciences (Teramoto E. and Yamaguti M., eds.) (Kyoto, November 10–15, 1985), LectureNotes in Biomathematics 71, 322–328, Springer–Verlag, Berlin.

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[80] Ricciardi L.M. and Sato S. (1987) Probability density functions and moments of thefirst–passage time of diffusion processes through a constant boundary. In Japanese. IT87–75,1–6.

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[82] Ricciardi L.M. (1988) Preface. In Biomathematics and Related Computational Problems(Ricciardi L.M., ed.), xiii–xvi (Naples, 1987), Kluwer Academic Publishers, Dordrecht.

[83] Giorno V., Lansky P., Nobile A.G. and Ricciardi L.M. (1988) A birth–and–deathmodel for single neuron’s activity. In Biomathematics and Related Computational Problems(Ricciardi L.M., ed.), 27–37 (Naples, 1987), Kluwer Academic Publishers, Dordrecht.

[84] Lansky P., Giorno V., Nobile A.G. and Ricciardi L.M. (1988) A diffusion neuronalmodel and its parameters. In Biomathematics and Related Computational Problems (RicciardiL.M., ed.), 55–63 (Naples, 1987), Kluwer Academic Publishers, Dordrecht.

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[88] Giorno V., Nobile A.G., Ricciardi L.M. and Sato S. (1989) On the evaluation of first–passage–time probability densities via nonsingular integral equations. Adv. Appl. Prob. 21,no. 1, 20–36.

[89] Giorno V., Nobile A.G. and Ricciardi L.M. (1989) A symmetry–based constructiveapproach to probability densities for one–dimensional diffusion processes. J. Appl. Prob. 27,no. 4, 707–721.

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[93] Buonocore A., Giorno V., Nobile A.G. and Ricciardi L.M. (1990) On the two–boundary first–crossing–time problem for diffusion processes. J. Appl. Prob. 27, no. 1, 102–114.

[94] Giorno V., Nobile A.G. and Ricciardi L.M. (1990) On the transition densities of diffusionprocesses with reflecting boundaries. In Cybernetics and Systems ’90 (Trappl R., ed.), 383–390, Proceedings of the 10th European Meeting on Cybernetics and Systems Research (17–20April 1990, Vienna), World Scientific, Singapore.

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[97] Di Crescenzo A., Giorno V., Nobile A.G. and Ricciardi L.M. (1990) Some preliminaryresults on first crossing time densities for two–dimensional diffusion processes. In Cyberneticsand Systems ’90 (Trappl R., ed.), 427–433, Proceedings of the 10th European Meeting onCybernetics and Systems Research (17–20 April 1990, Vienna), World Scientific, Singapore.

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[102] Lansky P., Smith C.E. and Ricciardi L.M. (1990) One–dimensional stochastic diffusionmodels of neuronal activity and related first passage time problems. In Trends in BiologicalCybernetics (Menon J., ed.), Vol. 1, 153–162, Research Trends, Council of Scientific ResearchIntegration, Trivandrum, Kerala State of India.

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[105] Di Crescenzo A., Giorno V. Nobile A.G. and Ricciardi L.M. (1991) On the reductionto one dimensional of first-passage-time problems for diffusion processes. J. Math. Phy. Sci.25, no. 5–6, 599–611 (Volume in honour of Professor S.K. Srinivasan).

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[107] Buonocore A., Di Crescenzo A., Ricciardi L.M., Rinaldi S. and Iardino F. (1991)Simulazione di processi normali per la valutazione di densita di tempi di primo passaggio. InScienza e Supercalcolo al CINECA, Rapporto 1991 (Bassini S., Erbacci G., Paruolo G. andVoli M., eds.), 277–279, Cineca, Bologna.

[108] Giorno V., Nobile A.G. and Ricciardi L.M. (1992) Instantaneous return process andneuronal firings. In Cybernetics and Systems Research ’92 (Trappl R., ed.), 829–836, Pro-ceeding of the 11th European Meeting on Cybernetics and Systems Research (21–24 April1992), World Scientific, Singapore.

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[110] Sacerdote L. and Ricciardi L.M. (1992) On the transformation of diffusion equations andboundaries into the Kolmogorov equation for the Wiener process. Ricerche di Matematica 41,no. 1, 123–135.

[111] Buonocore A., Di Crescenzo A., Iardino F., Nakamura A., Ricciardi L.M. andRinaldi S. (1992) A vectorized simulation procedure for computations of first crossing timedensities of normal processes with oscillatory covariances. Progetto Finalizzato Sistemi In-formatici e Calcolo Parallelo (L. Moltedo, Coordinator), Sottoprogetto 1 (Calcolo Scientificoper grandi Sistemi), Tecn. Rep. N. 1/93.

[112] Giorno V., Nobile A.G. and Ricciardi L.M. (1994) On some algorithmic and computa-tional problems for neuronal diffusion models. In Computer Aided Systems Theory - EURO-CAST ’93 (Pichler F. and Moreno Dıaz R., eds.), (February 22–26, 1993) Lecture Notes inComputer Science 763, 293–313, Springer–Verlag.

[113] Giorno V., Nobile A.G. and Ricciardi L.M. (1994) Some computational problems inbiocybernetical modelling. In Cybernetics and Systems ’94 (Trappl R., ed.), Vol. 1, 831–838,Proceedings of the 12th European Meeting on Cybernetics and Systems Research (5–8 April1994, Vienna), World Scientific, Singapore.

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[116] Ricciardi L.M. (1994) Diffusion models of single neurones’ activity. In Neural Modeling andNeural Networks (F. Ventriglia, ed.), 129–162, Pergamon Studies in Neuroscience no. 11,Pergamon Press, Oxford.

[117] Inoue J., Sato S. and Ricciardi L.M. (1994) Parameter estimation of the Ornstein–Uhlenbeck process from first–passage–time data (in Japanese). In The Proceedings of the 17thSymposium on Information Theory and its Applications (SITA ’94), 747–750, (Hiroshima, 6–9December, 1994), Hiroshima, Japan.

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[118] Inoue J., Sato S. and Ricciardi L.M. (1994) A diffusion process model of the stochasticactivity of a single neuron cell with synaptic reversal potentials - The first passage timedistribution of an Ornstein–Uhlenbeck process with a reflecting boundary (in Japanese) InAnalysis of Random Phenomena in Engineering and Science – Theory and Application 64,65–74, Edited by the Institute of Statistical Mathematics, Cooperative Research Report 64,Tokyo.

[119] Ricciardi L.M. (1994) Su alcuni problemi computazionali in biomatematica. Nuova Civiltadelle Macchine 4, 76–88.

[120] Ricciardi L.M. (1994) Eduardo R. Caianiello (1921–1993). A Biographical Sketch. Mathe-matica Japonica 39, no. 1, 1–16.

[121] Ricciardi L.M. (1994) Obituary: Eduardo R. Caianiello (1921–1993). Cybernetics and Sys-tems: An International Journal 25, iii–vii.

[122] Di Crescenzo A., Giorno V. Nobile A.G. and Ricciardi L.M. (1995) On a symmetry-based constructive approach to probability densities for two–dimensional diffusion processes.J. Appl. Prob. 32, no. 2, 316–336.

[123] Di Crescenzo A., Giorno V. Nobile A.G. and Ricciardi L.M. (1995) An outline oftheoretical and algorithmic approaches to first passage time problems for systems dynam-ics modeling. (Trappl R. and Horn W., eds.), 1–93, Berichte Reports. Austrian Society forCybernetic Studies, Vienna.

[124] Tateno T., Doi S., Sato S. and Ricciardi L.M. (1995) Stochastic phase lockings ina relaxation oscillator forced by a periodic input with additive noise: a first-passage-timeapproach. J. Stat. Phys. 78, 917–936.

[125] Ricciardi L.M. (1995) Diffusion models of neuron activity. In The Handbook of Brain Theoryand Neural Networks (Arbib M.A., ed.), 299–304, The MIT Press, Cambridge.

[126] Ricciardi L.M. (1995) On some mathematical and computational problems in biology. In a.Las Palmas Seminars on Computer Science Vol. II, “Mathematical Biology” (R. Moreno-Diaz,ed.), 1–42, Centro International de Investigacion en Ciencias de la Computacion, Printedin Spain (Legal Reg. GC412–1995); b. Progetto Finalizzato Sistemi Informatici e CalcoloParallelo (L. Moltedo, Coordinator), Sottoprogetto 1 (Calcolo Scientifico per grandi Sistemi),Tecn. Rep. N. 1/215.

[127] Ricciardi L.M. (1995) Modelling single neurons’ activity by diffusion processes. In Selectedtopics in mathematical physics: Professor R. Vasudevan Memorial Volume (Sridhar R., Srini-vasa Rao K. and Vasudevan Lakshminarayanan, eds.), 353–377, Allied Publishers Ltd, NewDelhi.

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[129] Inoue J., Sato S. and Ricciardi L.M. (1995) On the parameter estimation for diffusionmodels of single neuron’s activity. I. Application to spontaneous activity of mesencephalicreticular formation cells in sleep and waking states. Biological Cybernetics 73, 209–221.

[130] Marinaro M., Ricciardi L.M. and Scarpetta G. (1995) A biographical sketch of the lifeof Professor Caianiello. In Tribute to Eduardo R. Caianiello (1921–1993). A biography and acollection of dedicated articles. Math. Japon. 41 no. 1, 1–5.

[131] Giorno V., Nobile A.G. and Ricciardi L.M. (1996) On asymptotic behaviors of stochasticmodels for single neuron’s activity. In Cybernetics and System ’96. (Trappl. R., ed.), Vol. I,524–529, Proceedings of the 13th European Meeting on Cybernetics and Systems Research(9–12 April 1996), Austrian Society for Cybernetic Studies, Vienna.

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[133] Di Crescenzo A. and Ricciardi L.M. (1996) Comparing first–passage times for semi–Markov skip–free processes. Statist. & Probab. Lett. 30, no. 3, 247–256.

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[136] Di Crescenzo A., Giorno V., Nobile A.G. and Ricciardi L.M. (1997) On first–passage–time and transition densities for strongly symmetric diffusion processes. Nagoya MathematicalJournal 145, 143–161.

[137] Di Nardo E., Nobile A.G., Pirozzi E. and Ricciardi L.M. (1997) Estimating upcrossingFPT densities via simulation of Gaussian processes. Atti della Conferenza Annuale ISCS’97,(Iazeolla G. and Grassi V., eds.), 107–114, (16 December, 1997), Italian Society for ComputerSimulation (ISCS), Roma.

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[142] Di Crescenzo A., Giorno V. Nobile A.G. and Ricciardi L.M. (1998) Remarks onsurvival for a stochastic model of competing populations. In Cybernetics and Systems ’98(Trappl. R., ed.), Vol. 1, 368–373, Proceedings of the 14th European Meeting on Cyberneticsand Systems Research (14–17 April 1998), Austrian Society for Cybernetic Studies, Vienna.

[143] Di Crescenzo A., Giorno V. Nobile A.G. and Ricciardi L.M. (1998) On species di-versity for a stochastic population model in the presence of competition. In Proceedings ofthe International Conference on Mathematical Biology: Advanced Topics in Biomathematics(Lansun Chen, Shigui Ruan and Jun Zhu, eds.), 21–28, (26–29 May 1997), World Scientific,Singapore.

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[145] Ricciardi L.M., Di Crescenzo A., Giorno V. and Nobile A.G. (1999) An outline oftheoretical and algorithmic approaches to first passage time problems with applications tobiological modeling. Mathematica Japonica 50, no. 2, 247–322.

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[148] Di Crescenzo A., Di Nardo E., Nobile A.G., Pirozzi E. and Ricciardi L.M. (1999) Onsome computational methods for single neurons’ activity modeling. In Abstract of NeuronalCoding ’99, 9–10. The 3rd International Workshop on Neuronal Coding ’99 (October 11–15,1999), Osaka, Japan.

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[150] Giorno V. Nobile A.G. and Ricciardi L.M. (2000) On the first passage time moments fora class of specially confined diffusion processes. In Cybernetics and Systems 2000 (Trappl.,R., ed.), Vol. 1, 312–317, Proceedings of the 15th European Meeting on Cybernetics andSystems Research (25–28 April 2000), Austrian Society for Cybernetic Studies, Vienna.

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[153] Di Nardo E., Pirozzi E., Ricciardi L.M. and Rinaldi S. (2000) First passage timedensities evaluation for simulated Gaussian process. In Cybernetics and Systems 2000 (Trappl.R., ed.), Vol. 1, 301–306, Proceedings of the 15th European Meeting on Cybernetics andSystems Research (25–28 April 2000), Austrian Society for Cybernetic Studies, Vienna.

[154] Di Crescenzo A., Giorno V., Nobile A.G., and Ricciardi L.M. (2001) Stochasticpopulation models with interacting species. Journal of Mathematical Biology 42, no. 1, 1–25.

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[157] Buonocore A., Giorno V., Nobile A.G. and Ricciardi L.M. (2001) Upward first cross-ing problems for neuronal modeling’s paradigm. In Abstract Book of 4th International Work-shop “Neural Coding 2001”, 141–144 (10–14 September 2001), Plymouth, UK.

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[159] Di Nardo E., Nobile A.G., Pirozzi E. and Ricciardi L.M. (2001) Computer–aidedsimulations of Gaussian processes and related asymptotic properties. In Computer AidedSystems Theory - EUROCAST 2001 (Moreno-Diaz R., Buchberger B. and Freire J.L., eds.),Lecture Notes in Computer Science 2178, 67–78, Springer–Verlag, Berlin.

[160] Di Crescenzo A. and Ricciardi L.M. (2001) On a discrimination problem for a class ofstochastic processes with ordered first–passage times. Applied Stochastic Models in Businessand Industry 17, no. 2, 205–219.

[161] Buonocore A., Giorno V., Nobile A.G. and Ricciardi L.M. (2002) Towards ModelingRefractoriness for Single Neuron’s Activity. In Cybernetics and Systems 2002 (Trappl, R.,ed.), Vol. I, 319–324, Proceedings of the 16th European Meeting on Cybernetics and SystemsResearch (2–5 April 2002), Austrian Society for Cybernetics Studies, Vienna.

[162] Di Nardo E., Nobile A.G., Pirozzi E. and Ricciardi L.M. (2002) Gaussian Processesand Neural Modeling: an Asymptotic Analysis. In Cybernetics and Systems 2002 (Trappl, R.,

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ed.), Vol. I, 313–318, Proceedings of the 16th European Meeting on Cybernetics and SystemsResearch (2–5 April 2002), Austrian Society for Cybernetics Studies, Vienna.

[163] Di Crescenzo A., Martinucci B. and Ricciardi L.M. (2002) On modeling the risingphase of myosin head displacements in single molecules processes. In Cybernetics and Sys-tems 2002 (Trappl R. ed.), Vol. I, 295–300, Proceedings of the 16th European Meeting onCybernetics and Systems Research (2–5 April 2002), Austrian Society for Cybernetic Studies,Vienna.

[164] Buonocore A., Giorno V., Nobile A.G. and Ricciardi L.M. (2002) A neuronal mod-eling paradigm in the presence of refractoriness. BioSystems 67, 35–43.

[165] Ricciardi L.M. and Lansky P. (2003) Diffusion models of neuron activity. In The Hand-book of Brain Theory and Neural Networks (Arbib M.A., ed.), 343–348. The MIT Press,Cambridge.

[166] Ricciardi L.M. and Lansky P. (2003) Diffusion models and neural activity. In Enciclopediaof Cognitive Sciences (Lynn Nadel, ed.), Vol. I, 968–972, Nature Publishing Group, London.

[167] Di Crescenzo A., Giorno V. Nobile A.G. and Ricciardi L.M. (2003) On the M/M/1queue with catastrophes and its continuous approximation. Queueing Systems 43, no. 4, 329–347.

[168] Di Nardo E., Nobile A.G., Pirozzi E. and Ricciardi L.M. (2003) Computational meth-ods for the evaluation of neuron’s firing densities. In Cast and Tools for Complexity in Bi-ological, Physical and Engineering Systems (Moreno-Diaz jr. R., Quesada-Arencibia A. andRodriguez J.C., eds.) Extended Abstracts of 9th International Conference on Computer AidedSystems Theory, EUROCAST 2003 (24–28 February 2003), 163–166, IUCTC Universidad deLas Palmas de Gran Canaria.

[169] Giorno V., Nobile A.G., Pirozzi E. and Ricciardi L.M. (2003) Computational Prob-lems in Biological Modeling. In Cast and Tools for Complexity in Biological, Physical andEngineering Systems (Moreno-Diaz jr. R., Quesada-Arencibia A. and Rodriguez J.C., eds.)Extended Abstracts of 9th International Conference on Computer Aided Systems Theory,EUROCAST 2003 (24–28 February 2003), 152–155, IUCTC Universidad de Las Palmas deGran Canaria.

[170] Di Nardo E., Nobile A.G., Pirozzi E. and Ricciardi L.M. (2003) On the asymptoticbehavior of first passage time densities for stationary Gaussian processes and varying bound-aries. Methodology and Computing in Applied Probability 5, no. 2, 211–233.

[171] Ricciardi L.M. and Sato S. (2003) Foreword (Special issue on BIOCOMP2002). ScientiaeMathematicae Japonicae 58, 221–222.

[172] Giorno V., Nobile A.G. and Ricciardi L.M. (2003) On neuronal firing modeling viaspecially confined diffusion processes. Scientiae Mathematicae Japonicae 58, no. 2, 265–294(Online e8, 433–462).

[173] Buonocore A., Di Crescenzo A., Martinucci B. and Ricciardi L.M. (2003) A stochas-tic model for the stepwise motion in actomyosin dynamics. Scientiae Mathematicae Japonicae58, no. 2, 245–254 (Online e8, 387–396).

[174] Di Nardo E., Nobile A.G., Pirozzi E. and Ricciardi L.M. (2003) Towards the modelingof neuronal firing by Gaussian processes. Scientiae Mathematicae Japonicae 58, no. 2, 255–264(Online e8, 497–506).

[175] Di Crescenzo A., Giorno V., Nobile A.G. and Ricciardi L.M. (2003) A stochasticmodel of competing populations. In Proceeding of 3rd International Congress Mathematicsand Environment (Fergola P., ed.), 95–102, (Naple, October 20–22, 1998), RISMA, Diparti-mento di Matematica e Applicazioni “Renato Caccioppoli”, Universita di Napoli “FedericoII”, Italia.

[176] Di Nardo E., Nobile A.G., Pirozzi E. and Ricciardi L.M. (2003) Computational Meth-ods for the Evaluation of Neuron’s Firing Densities. In Computer Aided Systems Theory -

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EUROCAST 2003 (Moreno-Diaz R. and Pichler F., eds.), Lecture Notes in Computer Science2809, 394–403, Springer–Verlag, Berlin.

[177] Giorno V., Nobile A.G., Pirozzi E. and Ricciardi L.M. (2003) Towards Some Com-putational Problems Arising in Biological Modeling. In Computer Aided Systems Theory -EUROCAST 2003 (Moreno-Diaz R. and Pichler F., eds.), Lecture Notes in Computer Science2809, 360–371, Springer–Verlag, Berlin.

[178] Di Nardo E., Nobile A.G., Pirozzi E. and Ricciardi L.M. (2003) Simulations of Gaus-sian Processes for Neuronal Modeling. In Science and Supercomputing at CINECA - Report2003 (Voli M. and Coluccia P., eds.), 375–381, Cineca, Bologna.

[179] Ricciardi L.M., Esposito G., Giorno V. and Valerio C. (2003) Modeling NeuronalFiring in the Presence of Refractoriness. In Computational Methods in Neural Modeling (MiraJ. and Alvarez J.R., eds.) Proceeding of 7th International Work-Conference on Artificial andNatural Neural Networks, IWANN 2003 (Mao, Menorca, Spain, June 2003), Lecture Notesin Computer Sciences 2686, 1–8, Springer–Verlag.

[180] Buonocore A. and Ricciardi L.M. (2003) Exploiting thermal noise for an efficient acto-myosin sliding mechanism. Mathematical Biosciences 182, no. 2, 135–149.

[181] Ricciardi L.M., Sato S. and Buonocore A. (2003) Foreword (Special issue on BIO-COMP2002). BioSystems 71, 1–2.

[182] Shimokawa T., Sato S., Buonocore A. and Ricciardi L.M. (2003) A chemically drivenfluctuating ratchet model for actomyosin interaction. BioSystems 71, 179–187.

[183] Esposito G., Giorno V., Nobile A.G., Ricciardi L.M. and Valerio C. (2004) InterspikeAnalysis for single Neuron’s Activity in the Presence of Refractoriness. In Cybernetics andSystems 2004 (Trappl R., ed.), EMCSR 2004, 199–204, Proceedings of the 17th EuropeanMeeting on Cybernetics and Systems Research (13–16 April 2004), Austrian Society forCybernetics Studies, Vienna.

[184] Giorno V., Nobile A.G., Pirozzi E. and Ricciardi L.M. (2004) Non–stationary Gauss–Markov Processes and Neuronal Modeling. In Cybernetics and Systems 2004 (Trappl R.,ed.), EMCSR 2004, 211–215, Proceedings of the 17th European Meeting on Cybernetics andSystems Research (13–16 April 2004), Austrian Society for Cybernetics Studies, Vienna.

[185] Di Crescenzo A., Martinucci B., Pirozzi E. and Ricciardi L.M. (2004) On the in-teraction between two Stein’s neuronal units. In Cybernetics and Systems 2004 (Trappl R.ed.), Vol. 1, 205–210, Proceedings of the 17th European Meeting on Cybernetics and SystemsResearch (13–16 April 2004), Austrian Society for Cybernetic Studies, Vienna.

[186] Buonocore A., Caputo L., Ricciardi L.M. (2004) On Myosin II Dynamics. In Cyberneticsand Systems 2004, (Trappl R., ed.), EMCSR 2004, Vol. 1, 139–141, Proceedings of the 17thEuropean Meeting on Cybernetics and Systems Research (13–16 April 2004), Austrian Societyfor Cybernetics Studies, Vienna.

[187] Di Crescenzo A., Di Nardo E. and Ricciardi L.M. (2004) On the first–passage–timeproblem of Brownian motion with alternating drift. In Proceedings of the 2nd InternationalWorkshop in Applied Probability (Koutras M.V., ed.), 119–122, IWAP2004 (22–25 March2004), University of Piraeus, Piraeus, Greece.

[188] Levin S.A., Ricciardi L.M., Diekmann O. and Perelson A. (2004) Foreword. (Specialissue on BIOCOMP2002). Mathematical Biosciences 188, pages vii-viii.

[189] Ricciardi L.M. (2004) Cronaca di un Passeggero in Volo. Riflessioni su Arte e Matematica.In Come alla Corte di Federico II ovvero Parlando e Riparlando di Scienza. La Flagellazionedi Piero della Francesca fra Talete e Gauss, 9–18, (April 22, 2004, Napoli), Centro di Ateneoper la Comunicazione e l’Innovazione Organizzativa, Universita degli Studi di Napoli FedericoII.

[190] Giorno V., Nobile A.G. and Ricciardi L.M. (2005) Wiener–type neuronal modelwith refractoriness. In Cast and Tools for Robotics, Vehicular and Communication Systems

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(Quesada-Arencibia A., Moreno-Diaz jr. R. and Rodriguez J.C., eds.), Extended Abstracts of10th International Workshop on Computer Aided Systems Theory, EUROCAST 2005 (7–11February 2005), 227–228, IUCTC Universidad de Las Palmas de Gran Canaria.

[191] Buonocore A., Caputo L., Pirozzi E. and Ricciardi L.M. (2005) On Myosin II dy-namics: from a pulsating ratchet to a washboard potential. In Cast and Tools for Robotics,Vehicular and Communication Systems (Quesada-Arencibia A., Moreno-Diaz jr. R. and Ro-driguez J.C., eds.) 229–230, Extended Abstracts of 10th International Workshop on ComputerAided Systems Theory, EUROCAST 2005 (7–11 February 2005), IUCTC Universidad de LasPalmas de Gran Canaria.

[192] Giorno V., Nobile A.G. and Ricciardi L.M. (2005) On the moments of firing numbersin diffusion neuronal models with refractoriness. In Mechanisms, Symbols, and Models Un-derlying Cognition: First International Work-Conference on the Interplay Between Naturaland Artificial Computation, IWINAC 2005 (Mira, J. and Alvarez, J.R., eds.), Lecture Notesin Computer Science 3561, 186–194, Springer–Verlag.

[193] Di Nardo E., Nobile A.G., Pirozzi E. and Ricciardi L.M. (2005) Gaussian Processesand Neuronal Modeling. In Mechanisms, Symbols, and Models Underlying Cognition: FirstInternational Work-Conference on the Interplay Between Natural and Artificial Computation,IWINAC 2005 (Mira, J. and Alvarez, J.R., eds.), Lecture Notes in Computer Science 3561,176–185, Springer–Verlag.

[194] Di Crescenzo A., Di Nardo E. and Ricciardi L.M. (2005) Evaluation of neuronal firingdensities via simulation of a jump–diffusion process. In Mechanisms, Symbols, and ModelsUnderlying Cognition: First International Work-Conference on the Interplay Between Naturaland Artificial Computation, IWINAC 2005 (Mira J. and Alvarez J.R., eds.), Lecture Notesin Computer Science 3561, 166–175, Springer–Verlag, Berlin.

[195] Di Crescenzo A., Di Nardo E. and Ricciardi L.M. (2005) Simulation of first-passagetimes for alternating Brownian motions. Methodology and Computing in Applied Probability7, no. 2, 161–181.

[196] Buonocore A., Caputo L., Ishii Y., Pirozzi E., Yanagida T. and Ricciardi L.M.(2005) On Myosin II dynamics in the presence of external loads. BioSystems 81, 165–177.

[197] Buonocore A., Caputo L., Pirozzi E. and Ricciardi L.M. (2005) On Myosin II Dy-namics: from a Pulsating Ratchet to a Washboard Potential. In Computer Aided SystemsTheory - EUROCAST 2005 (Moreno-Diaz R., Pichler F.R. and Quesada-Arencibia A., eds.),Lecture Notes in Computer Science 3643, 426–435, Springer–Verlag, Berlin.

[198] Giorno V., Nobile A.G. and Ricciardi L.M. (2005) A Wiener Neuronal Model withRefractoriness. In Computer Aided Systems Theory - EUROCAST 2005 (Moreno-Diaz R.,Pichler F.R. and Quesada-Arencibia A., eds.), Lecture Notes in Computer Science 3643, 416–425, Springer–Verlag, Berlin.

[199] Albano G., Giorno V., Nobile A. G. and Ricciardi L.M. (2006) On some special classesof refractoriness densities in neuronal modeling. In Cybernetics and Systems 2006 (TrapplR.,ed.), EMCSR 2006, 215–220, Proceedings of the 18th European Meeting on Cyberneticsand Systems Research (18–21 April 2006), Austrian Society for Cybernetics Studies, Vienna.

[200] Buonocore A., Caputo L., Pirozzi E. and Ricciardi L.M. (2006) On the dynamicsof actomyosin systems and the origin of washboard potentials. In Cybernetics and Systems2006 (Trappl R., ed.), EMCSR 2006, 238–241, Proceedings of the 18th European Meetingon Cybernetics and Systems Research (18–21 April 2006), Austrian Society for CyberneticsStudies, Vienna.

[201] Esposito G., Giorno V., Nobile A.G., Ricciardi L.M. and Valerio C. (2006) Neuronalmodeling in the presence of random refractoriness. Scientiae Mathematicae Japonicae 64, no.1, 1–36 (Online e-2006, 439–474).

[202] Ricciardi L.M. and Sato S. (2006) Foreword. (Special issue on BIOCOMP2005). ScientiaeMathematicae Japonicae 64, no. 2, 173–174.

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[203] Nobile A.G., Pirozzi E. and Ricciardi L.M. (2006) On the two-boundary first–passage–time problem for a class of Markov processes. Scientiae Mathematicae Japonicae 64, no. 2,421–442 (Online e-2006, 933–954).

[204] Giorno V., Nobile A.G., Pirozzi E. and Ricciardi L.M. (2006) On the constructionof first–passage–time densities for diffusion processes. Scientiae Mathematicae Japonicae 64,no. 2, 277–298 (Online e-2006, 701–722).

[205] Di Crescenzo A., Di Nardo E. and Ricciardi L.M. (2006) On certain bounds for first–crossing–time probabilities of a jump–diffusion process. Scientiae Mathematicae Japonicae64, no. 2, 449–460 (Online e2006, 983–994).

[206] Ricciardi L.M. (2006) Modeling single neuron activity in the presence of refractoriness: newcontributions to an old problem. In Imagination and Rigor. Essays on Eduardo Caianiello’sScientific Heritage (Termini S., ed.), 133–145, Springer–Verlag.

[207] Nobile A.G., Pirozzi E. and Ricciardi L.M. (2007) On the estimation of first–passagetime densities for a class of Gauss-Markov processes. Computer Aided System Theory(Quesada-Arencibia A., Rodriguez J.C., Moreno-Diaz jr R. and Moreno-Diaz R., eds.), Ex-tended Abstracts of 11th International Conference on Computer Aided Systems Theory, EU-ROCAST 2007 (12–16 February 2007), 58–59, IUCTC Universidad de Las Palmas de GranCanaria.

[208] Buonocore A., Caputo L., Pirozzi E. and Ricciardi L.M. (2007) Simulations of aMyosin II dynamics based on a pulsating ratchet with double–well potentials. In Com-puter Aided System Theory (Quesada-Arencibia A., Rodriguez J.C., Moreno-Diaz jr. R. andMoreno-Diaz R., eds.), Extended Abstracts of 11th International Conference on ComputerAided Systems Theory, EUROCAST 2007 (12–16 February 2007), 60–61, IUCTC Universidadde Las Palmas de Gran Canaria.

[209] Buonocore A., Ricciardi L.M. and Sato S. (2007) Foreword. (Special issue on BIO-COMP2005). Biosystems 88, 175–177.

[210] Albano G., Giorno V., Nobile A. G. and Ricciardi L.M. (2007) A Wiener–type neu-ronal model in the presence of exponential refractoriness. Biosystems 88, 202–215.

[211] Nobile A.G., Pirozzi E. and Ricciardi L.M. (2007) On the estimation of first-passagetime densities for a class of Gauss–Markov processes. In Computer Aided Systems Theory -EUROCAST 2007 (Moreno-Diaz R., Pichler F.R. and Quesada-Arencibia A., eds.), LectureNotes in Computer Science 4739, 146–153, Springer–Verlag, Berlin.

[212] Buonocore A., Caputo L., Pirozzi E. and Ricciardi L.M. (2007) Simulations of aMyosin II dynamics modeled by a pulsating ratchet with double–well potentials. In ComputerAided System Theory - EUROCAST 2007 (Moreno-Diaz R., Pichler F. and Quesada-ArencibiaA., eds.), Lecture Notes in Computer Science 4739, 154–162, Springer–Verlag, Berlin.

[213] Di Nardo E., Nobile A.G., Pirozzi E. and Ricciardi L.M. (2007) Gaussian processesand neuronal modeling. Natural Computing. An International Journal (Special Issue on Mech-anisms and Formal Tools in Neural Modeling) 6, no. 3, 283–310.

[214] Ricciardi L.M., Lansky P., Levin, S.A. (2007) Foreword BIOCOMP2005. MathematicalBiosciences 207, 161–164.

[215] Buonocore A., Caputo L., Pirozzi E., Ricciardi L.M. (2007) On a pulsating Brownianmotor and its characterization. Mathematical Biosciences 207, no. 2, 387–401.

[216] Buonocore A., Ricciardi L.M. and Sato S. (2008) Foreword. (Special issue on BIO-COMP2007). Scientiae Mathematicae Japonicae 67, no. 2, 91–92.

[217] Albano G., Giorno V., Nobile A.G. and Ricciardi L.M. (2008) Modeling refractorinessfor stochastically driven single neurons. Scientiae Mathematicae Japonicae 67, no. 2, 173–189(Online e2008, 91-107).

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[218] Nobile A.G., Pirozzi E. and Ricciardi L.M. (2008) Asymptotics and evaluations of FPTdensities through varying boundaries for Gauss–Markov processes. Scientiae MathematicaeJaponicae 67, no. 2, 241–266 (Online e2008, 157–182).

[219] Giorno V., Nobile A.G., Pirozzi E. and Ricciardi L.M. (2008) FPT densities con-structions from Ornstein–Uhlenbeck process. In Cybernetics and Systems 2008 (Trappl R.,ed.), EMCSR 2008, 244–249, Proceedings of the 19th European Meeting on Cybernetics andSystems Research (25–28 March 2008), Austrian Society for Cybernetics Studies, Vienna.

[220] Di Crescenzo A., Giorno V., Nobile A.G. and Ricciardi L.M. (2008) A note on birth–death processes with catastrophes. Statistics and Probability Letters 78, no. 14, 2248–2257.

[221] Ricciardi L.M. (2008) Foreword. In AIP Conference Proceedings on BIOCOMP2007, Vol.1028, pages vii-viii, American Institute of Physics, Melville, New York.

[222] Ricciardi L.M. (2008) Remembering a Friend. In AIP Conference Proceedings on BIO-COMP2007, Vol. 1028, 352-355.

[223] Hastings A., Ricciardi L.M., Levin S.A. (2008) Foreword: BIOCOMP2007. MathematicalBiosciences 214, 1–2.

[224] Buonocore A., Pirozzi E., Ricciardi L. and Sato S. (2008) Foreword (Special Issue onBIOCOMP2007) BioSystems 93, 1–2.

[225] Ricciardi L.M. (2008) Probabilita, incertezza, funzionalita: dal moto browniano ai mo-tori molecolari. In I Venerdı delle Accademie Napoletane nell’Anno accademico 2006–2007(Garzya A. and Nazzaro A.V., eds.), 69–93, Giannini Editore, Napoli.

[226] Ricciardi L.M. (2008) Incertezza e funzionalita: inconciliabile binomio in sinergie multi-disciplinari? In Rendiconti del Seminario Matematico - Universita e Politecnico di Torino(Lezioni Lagrangiane 2007-2008) 66, no. 3, 185–228, Politecnico di Torino.

[227] Ricciardi L.M. (2009) Remembering Professor T. Ishihara. Scientiae Mathematicae Japon-icae 70, no. 2, 129–131 (Online e2009, 423–425).

[228] Buonocore A., Di Crescenzo A., Giorno V., Nobile A.G., Ricciardi L.M. (2009) AMarkov chain-based model for actomyosin dynamics. Scientiae Mathematicae Japonicae 70,no. 2, 159–174 (Online e-2009, 445–460).

[229] Buonocore A., Di Crescenzo A. and Ricciardi L.M. (2009) On first crossing timedensities of normal processes with oscillatory covariances. Rendiconto dell’Accademia delleScienze Fisiche e Matematiche 76, 9–94, Napoli.

[230] Buonocore A., Caputo L., Pirozzi E. and Ricciardi L.M. (2009) Gauss–diffusion pro-cesses: algorithmic approaches and applications to LIF neuronal models. In Computer AidedSystems Theory (Quesada-Arencibia A., Rodriguez J.C., Moreno-Diaz jr. R., Moreno-DiazR., eds.) Extended Abstracts of 12th International Workshop on Computer Aided SystemsTheory, EUROCAST 2009 (15–20 February 2009), 52-55, IUCTC Universidad de Las Palmasde Gran Canaria.

[231] Buonocore A., Caputo L., Pirozzi E. and Ricciardi L.M. (2009) On a generalizedleaky integrate–and–fire model for single neuron activity. In Computer Aided Systems Theory- EUROCAST 2009 (Moreno Diaz R., Pichler F., Quesada Arencibia A., eds.) Lecture Notesin Computer Science 5717, 152-158, Springer–Verlag, Berlin.

[232] Di Crescenzo A., Giorno V., Nobile A.G. and Ricciardi L.M. (2010) On timenon–homogeneous stochastic processes with catastrophes. In Cybernetics and Systems 2010(Trappl R. ed.), EMCSR 2010, 169–174, Proceedings of the 20th European Meeting on Cy-bernetics and Systems Research (6–9 April 2010), Austrian Society for Cybernetics Studies,Vienna.

[233] Buonocore A., Caputo L., Pirozzi, E. and Ricciardi L.M. (2010) On a stochastic leakyintegrate–and–fire neuronal model. Neural Computation 22, no. 10, 2558–2585.

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[234] Buonocore A., Caputo L., Pirozzi E. and Ricciardi L.M. (2011) The first passagetime problem for Gauss-diffusion processes: algorithmic approaches and applications to LIFneuronal model. Methodology and Computing in Applied Probability 13, 29–57 (Publishedonline: 5 May 2009).

[235] Giorno V., Nobile A.G. and Ricciardi L.M. (2011) On the densities of certain boundeddiffusion processes. Ricerche di Matematica 60, 89–124.

[236] Giorno V., Nobile A.G. and Ricciardi L.M. (2011) On the construction of densities fortime non-homogeneous diffusion processes. In Computer Aided Systems Theory (Quesada-Arencibia A., Rodriguez J.C., Moreno-Diaz jr R. and Moreno-Diaz R., eds.) Extended Ab-stracts of 13th International Workshop on Computer Aided Systems Theory, EUROCAST2011, 72–73. IUCTC Universidad de Las Palmas de Gran Canaria.

[237] Giorno V., Nobile A.G. and Ricciardi L.M. (2012) On the construction of densities fortime non-homogeneous diffusion processes. In Computer Aided Systems Theory - EUROCAST2011 (Moreno Diaz R., Pichler F. and Quesada Arencibia A., eds.), Lecture Notes in ComputerScience 6927, 80–87 Springer–Verlag, Berlin.

BOOKS AND EDITED VOLUMES OF LUIGI M. RICCIARDI

[1] de Luca A. and Ricciardi L.M. (1965) Appunti delle lezioni del Prof. E.R. Caianiello. PartiI–VI. Scuola di Perfezionamento in Fisica Teorica e Nucleare. Universita di Napoli FedericoII.

[2] Caianiello E.R., de Luca A. and Ricciardi L.M. (1970) Fisica I: Meccanica, pp. 236.Garzanti, Milano.

[3] Caianiello E.R., de Luca A. and Ricciardi L.M. (1970) Fisica II: Acustica, Termologiae Ottica, pp. 280, Garzanti, Milano.

[4] Caianiello E.R., de Luca A. and Ricciardi L.M. (1970) Fisica III: Elettromagnetismo,pp. 282. Garzanti, Milano.

[5] de Luca A. and Ricciardi L.M. (1971) Introduzione alla Cibernetica, pp. 460. Franco Angeli,Milano (2nd Edition: 1981; 3rd Edition: 1986).

[6] Ricciardi L.M. (1977) Diffusion Processes and Related Topics in Biology (Notes taken byCharles E. Smith), Lecture Notes in Biomathematics, Vol. 14, pp. iii+200. Springer–Verlag,Berlin.

[7] Trappl R., Klir G.J. and Ricciardi L.M. (eds.) (1978) Progress in Cybernetics and Sys-tems Research, Vol. III, pp. 674. Hemisphere Publishing Corporation, Washington D.C.

[8] Trappl R., Ricciardi L.M. and Pask G. (eds.) (1982) Progress in Cybernetics and Sys-tems Research, Vol. IX, Cybernetics in Biology and Medicine, Cybernetics in Cognition andLearning, Health Care Systems. Proceedings of the 5th European Meeting on Cyberneticsand Systems Research (April 1980, Vienna), pp. xi+532. Hemisphere Publishing Corporation,Washington D.C.

[9] Ricciardi L.M. and Scott A.C. (eds.) (1982) Biomathematics in 1980. Papers presented at aWorkshop on Biomathematics: Current Status and Future Perspectives held at the Universityof Salerno, (Salerno, April 1980), North-Holland Mathematical Studies, Vol. 58, pp. 297, NorthHolland Publishing Company, Amsterdam.

[10] Ricciardi L.M. (ed.) (1988) Biomathematics and Related Computational Problems, pp.xxvi+733, Kluwer Academic Publishers, Dordrecht.

[11] Ricciardi L.M. (ed.) (1990) Lectures in Applied Mathematics and Informatics, pp. xii+362,Manchester University Press, Manchester.

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[12] Ricciardi L.M., Rinaldi S. (1994) Esercizi di Calcolo delle Probabilita, pp. 321, LiguoriEditore, Napoli.

[13] Moreno-Diaz R., Pichler F., Ricciardi L.M. and Moreno-Diaz R. jr. (eds.) (1999)Wiener’s Cybernetics: 50 years of evolution. Cybernetics ’99, Extended Abstracts, ( 8–11February, 1999), Universitad de Las Palmas de Gran Canaria.

[14] Di Crescenzo A. and Ricciardi L.M. (2000) Elementi di Statistica, pp. 359. Liguori Editore.Napoli.

[15] Ricciardi L.M. and Sato S. (eds.) (2003) Special Issue on BIOCOMP2002 (Selected papersfrom the International Conference “BIOCOMP 2002: Topics in biomathematics and relatedcomputational problems at the beginning of the third millennium”held in Vietri sul Mare, June3–9, 2002), Scientiae Mathematicae Japonicae 58, no. 2, pp. 221–494, Japanese Association ofMathematical Sciences, Osaka, Japan.

[16] Ricciardi L.M., Sato S. and Buonocore A. (eds.) (2003) Selected papers presented at theInternational Conference BIOCOMP 2002: Topics in Biomathematics and Related Computa-tional Problems at the Beginning of the Third Millennium (Vietri sul Mare, 3–9 June, 2002)BioSystems 71, pp. 1–248, Elsevier, Amsterdam.

[17] Levin S.A., Ricciardi L.M., Diekmann O. and Perelson A. (eds.) (2004) Topics inbiomathematics and related computational problems. Selected papers from the InternationalConference “BIOCOMP2002”: Topics in Biomathematics and Related Computational Prob-lems at the Beginning of the Third Millennium held in Vietri sul Mare, June 3–9, 2002. Math-ematical Biosciences 188, pp. viii+238 Elsevier Ltd, Oxford.

[18] Ricciardi L.M. and Sato S. (eds.) (2006) Special issue on BIOCOMP2005. (Selected papersfrom the BIOCOMP2005 conference, “Diffusion Processes in Neurobiology and SubcellularBiology”, Vietri sul Mare, December 12–16, 2005) Scientiae Mathematicae Japonicae 64, pp.173– 507.

[19] Ricciardi L.M., Lansky P., Levin, S.A (eds.) (2007) BIOCOMP2005 Special Issue (Se-lected papers from the BIOCOMP2005 Conference, “Diffusion Processes in Neurobiology andSubcellular Biology”, Vietri sul Mare, December 12–16, 2005), Mathematical Biosciences 207,no. 2, pp. 161–402, Elsevier, New York.

[20] Buonocore A., Ricciardi L.M. and Sato S. (eds.) (2007) Special Issue BIOCOMP 2005:Selected papers presented at the International Conference - Diffusion Processes in Neurobiologyand Subcellular Biology held in Vietri sul Mare, December 12-16, 2005, BioSystems 88, pp.175–356, Elsevier, Amsterdam.

[21] Buonocore A., Ricciardi L.M. and Sato S. (eds.) (2008) Special Issue on BIOCOMP2007.(Selected papers from the International Conference “BIOCOMP 2007: Collective Dynamics:Topics on Competition and Cooperation in Biosciences. (Vietri sul Mare. September 24–28,2007), Scientiae Mathematicae Japonicae 67, pp. 91–318, International Society for Mathemat-ical Science, Osaka, Japan.

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