CURRICULUM. EDUCACION SECUNDARIA Instituto Nacional Licencia Secundaria

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1 CURRICULUM I. DATOSRSONALES Nombre Servet Martínez Aguilera Fecha de Nacimiento 5 de Marzo de 1952 Lugar de Nacimiento Nacionalidad Departamento Posición Santiago, Chile Chilena Departamento de MatemáticasFacultad de Ciencias Físicas y Matemáticas Universidad de Chile Profesor Títular II.- EDUCACION SECUNDARIA Instituto Nacional Licencia Secundaria III.- EDUCACION UNIVERSITARIA CONDUCENTE A TITULOS O GRADOS Universidad de Chile Ingeniero Matemático (1975) Universidad de París VI Doctorado de Estado en Matemáticas (1986) Universidad de París VI Doctor de 3er. ciclo en Probabilidades (1979), DEA Probabilidades (1977) Centro Interamericano en Enseñanza Estadística Master en Estadística Matemática (1976) IV.- OTROS ESTUDIOS SUPERIORES 1970 Universidad de Chile Fac. de Educ. y Letras Filosofía 1974 Universidad de Chile Economía

2 V.- MENCIONES HONORIFICAS 1. Premio Nacional de Ciencias Exactas, Septiembre 1993 (conjuntamente con Eric Goles) Premio Interamericano de la OEA, Manuel Noriega Morales, en Ciencias Exactas, noviembre 1992 (conjuntamente con J. Urrutia). Premio Universidad de Chile en Ciencias Exactas, agosto 1992 (conjuntamente con L. Brofman). Premio Manuel Montt, otorgado por la Fundación Jorge Montt y la Universidad de Chile, a la mejor obra de los últimos cinco años, enero 1991 (conjuntamente con E. Goles). 5. Distinción ENDESA, por actividades en Ingienería y Ciencias, julio VI.- A INVESTIGACION ARTICULOS Existence of quasi stationary distributions. A renewal dynamical approach. Annals of Probability. Vol. 23, Nº2, , 1995 (co-a. P. Ferrari, H. Kesten, P. Picco). The Pianigiani-Yorke measure for topological Markov chains. Israel Jorunal of Mathematics, 1995 (co-a. P. Collet, B. Schmitt). Ultrametric matrices and induced Markov chains. Advances in Applied Mathematics, 1995 (co-a. C. Dellacherie, J. San R-positivity, quasi-stationary distributions and ratio limit theorem for a class of probabilistic automata. Annals of Applied Probability, 1996 (co-a. P. Ferrari, H. Kesten). A Pointwise Spectrum and Representation of Operators. Proceedings American Mathematical Society, (co-a. N. Bertoglio, J. San Phase transition for absorbed Brownian motion with drift. Jornal Statistical Physics, 1996 (co-a. P. Ferrari, J. San Thermodynamics of a Brownian bridge polymer model in a random environment, Physica A, 1996 (co-a. D. Petritis). 8. Quasi-stationary distributions and Gibbs measures of expanding systems. Instabilities and Non-Equilibrium Structures V, Kluwer Acad. Publ, 1995

3 (co-a. P. Collet, B. Schmitt) Asymptotic laws for one dimensional diffusions conditioned to non absorption. Annals of Probability, Vol. 23, Nº3, , 1995 (co-a. P. Collet, J. San Entropy pairs for a measure. Ergodic Theory and Dynamical Systems, Vol. 15, , 1005 (co-a. F. Blanchard, B. Host, A. Maass, D.J. Rudolph). Entropy values of chains of partitions of infinite countable sets. Rochy Mountains Journal of Mathematics, Vol. 25, Issue 3, 1995 (co-a. J. San Markov chain associated to the minimal Q.S.D. of birth-death chains. Journal of Applied Probability, Vol. 32, 25-38, 1995 (co-a M.E. Vares). Introduction to neural networks. Storage capacity and optimization. Proceedings CIMPA School on Dynamical Systems and Disordered Systems, Hermann, The Yorke - Pianigiani measure and the limit law for the Cantor attractor of a one-dimensional expanding system. Norlinearity, Vol. 7, Nº5, , 1994 ( co-a. P. Collet, B. Schmitt). Inverses of strictly ultrametric matrices are of Stieltjes type. SIAM J. on Matrix Analysis, Vol. 15, Nº1, , 1994 (co-a. G. Michon, J. San Quasi-stationary distributions for a Brownian motion with drift and associated limit laws. Journal of Applied PRobability, Vol. 31, , 1994 (co-a. J. San Quasi-stationary distributions: a continued fraction criterion for recurrence. Resenhas, Vol. 1, Nº2/3, , 1994 (co-a. P. Ferrari). Quasi-stationary distributions for birth death chains. existence, convergence radii and Yaglom limit. Proceedings Les Houches, Cellular Automata and Cooperative Systems, NATO-ASI, Series, Kluwer Acad. Pub., , On the limits set of some universal cellular automata. Theoretical Computer Science, 110, 53-78, 1993 (co-a. E. Goles, A. Maass). Polar decomposition and dense similarityu to unitary operators. Instabilities and Non Equilibrium Structures IV, Mathematics and Its Applications, Kluwer, , 1993 (co-a. N. Bertoglio, J. San Existence of non trivial quasi-stationary distributions in the birth and death chains. Advances Applied Probability, 24, , 1992 (co-a. P. Ferrari, P. Picco).

4 Automata networks and optimization. Information Processing Letters, 42, , 1992 (co-a. E. Goles). A lower bound for the memory capacity in the Potts-Hopfield model. Journal Statistical Physics, Vol. 66, 55/6, , 1992 (co-a. P. Ferrari, P. Picco). Automata networks strategies for optimization problems. Automata Networks, Dynamical Systems and Statistical Physics, Kluwer, 65-87, 1992 (co-a. E. Goles). Simple nests invariant by compact self-adjoint operators: a non standard approach. Journal of Mathematical Analysisand Applications, VOl. 162, Nº2, , 1991 (co-a. N. Bertoglio). On a test for generalized upper truncated Weibull distributions. Probability and Statistical Letters, Vol. 12, Nº 1, , 1991 (co-a. F. Quintana) A regularisation result of the continuous PMC Markov semigroups. Stochastic Analysis and Applications, Vol. 4, Nº 4, , 1991 (co-a. N. Bertoglio, P. Dartnell, J. San Some properties on quasi stationary distributions in the birth and death chains. Instabilities and non equilibrium structures III, Mathematics and Its Applications, Kluwer, , 1991 (co-a. P. Ferrari, P. Picco). Relations between Lyapunov functionals for discrete and continuous symmetric networks, Revista de Matemáticas Aplicadas, Vol. 12, Nº2, , Measure preserving Markov process densely similar to endomorphisms. Physica A 170, , 1991 (co-a. N. Bertoglio) Lyapunov functionals for automata networks defined by cyclically nmonotone functions. SIAM J. on Discrete Mathematics, Vol. 4, Nº 2, , 1991 (co-a. E. Goles). Finite coarse-graining and Chapman-Kolmogorov equiation in conservative dynamical systems. Chaos, Solitons and Fractals, Vol. 1 Nº1, 25-37, 1991 (co-a. G. Nicolis, E. Tirapegui). Fluctuations in Derrida's random energy and generalized random energy models. Journal Statistical Physics, Vol. 54, Nº1/2, , 1989 (co-a. A. Galves, P. Picco). Energy functions in neural networks with continuous local functions. Complex Systems, Vol. 3, , 1989 (co-a. F. Fogelman, E. Goles, C. Mejía). Culinder distribution of thermodynamic limit on Bethe lattice, instabilities

5 and non-equilibrium structures II, Mathematics and Its Applications, Kluwer, , Exponential trnsient classes of symmetric neural networks for synchronous and sequential updating. Complex Systems, Vol. 3, , 1989 (co-a. E. Goles). A Lyapunov functional approach to the evolution of linear symmetric automata. Disordered Systems and Biological Models, World Scientific, 22-37, Opérateus filtrés et tribus invariantes sur des espaces atomiques. Lecture Notes in Mathematics, Vol 1321, , 1988 (co-a. P. Dartnell, J. San The one site distribution of Gibbs states on Bethe lattice and non linear dynamics on probability vectors which limit points are of period ¾ 2. Journal Statistical Physics, Vol. 52, Nº 1/2, , 1988 (co-a. E. Goles). Filtered operators and ultrametricity. Universalities in Condensed Matter, Springer Verlag, , Matrices supermétriques. Revista de Matemáticas Aplicadas, Vol. 9, Nº 2, 42-52, 1988 (co-a. P. Dartnell, J. San The P.M.C. processes associated to the (1, 1)- Bernoulli shifts are also Bernoulli. Journal Statistical Physics, Vol. 47, Nº 3,4, 527, 541, Systemes intronsèquement alèatoires et dèsordre. Colloque Traitement Numérique des Attracteurs Extranges. Editions C.N.R.S., , The role of stable manifolds and information in Prigogine theory of irreversibility. Journal Statistical Physics, Vol. 48, Nº 5/6, 1283,1294, 1987 (co-a. E. Tirapegui). Properties on positive functions and the dynamics of associated automata networks. Discrete Applied Mathematics, Vol. 18, 39-46, 1987 (co-a. E. Goles). Publicaciones : 64 (artículos) Libros Editados : 7

Escuela de Pregrado Facultad de Ciencias Universidad de Chile

Escuela de Pregrado Facultad de Ciencias Universidad de Chile Nombres: DAVID GILBERTO Apellidos: GOTTLIEB BANNER Título Profesional o Grado Académico (incluya el año de obtención): LICENCIADO EN FISICA, 1974, TECHNION-ISRAEL INSTITUTE OF TECHNOLOGY, ISRAEL Estudios