Edit Profile (opens in new tab) Martinez Aguilera, Servet Compute Distance To: Compute Author ID: martinez.servet Published as: Martínez, Servet; Martinez, Servet; Martinez, S.; Martínez, S.; Martínez A., Servet; Martinez A., Servet; Martinez, Servet A. more...less Homepage: http://www.cmm.uchile.cl/?cmm_people=servet-martinez External Links: MGP · dblp Documents Indexed: 134 Publications since 1981, including 3 Books 12 Contributions as Editor Co-Authors: 62 Co-Authors with 130 Joint Publications 1,354 Co-Co-Authors all top 5 Co-Authors 13 single-authored 45 San Martín, Jaime 21 Collet, Pierre 19 Goles Chacc, Eric 13 Maass, Alejandro 12 Dellacherie, Claude 9 Ferrari, Pablo Augusto 9 Huillet, Thierry E. 7 Hart, Andrew G. 6 Schmitt, Bernard 5 Bertoglio, Néstor 5 Méléard, Sylvie 5 Picco, Pierre 5 Tirapegui, Enrique 3 Dartnell, Pablo R. 3 Fontbona, Joaquin 3 Nagel, Werner 2 Bamón, Rodrigo 2 Bertoin, Jean 2 Blanchard, François 2 Duarte, Mauricio A. 2 Gambaudo, Jean-Marc 2 Host, Bernard 2 Javier López, F. 2 Kesten, Harry 2 Pivato, Marcus 2 Yassawi, Reem 2 Zhang, Xiaodong 1 Bansaye, Vincent 1 Barros, Saulo R. M. 1 Boccara, Nino 1 Cattiaux, Patrick 1 Chazottes, Jean-René 1 Dermoune, Azzouz 1 Descalzi, Orazio 1 Ferri, Gustavo L. 1 Fierro, Raúl 1 Fogelman Soulié, Françoise 1 Garcia, Nancy L. 1 Hauser, Raphael Andreas 1 Krell, Nathalie 1 Lambert, Amaury 1 Letter, Ian 1 Littin, Jorge C. 1 Matzinger, Heinrich III 1 Maume-Deschamps, Véronique 1 Mejía, Carolina 1 Michon, Gérard 1 Möhle, Martin 1 Ney, Peter E. 1 Nicolis, Gregoire 1 Olmos, Felipe 1 Petritis, Dimitri 1 Polunchenko, Aleksey S. 1 Prat-Waldron, Arturo 1 Quintana, Fernando Andrés 1 Remenik, Daniel 1 Rudolph, Daniel J. 1 Sanz, Gerardo 1 Sobottka, Marcelo 1 Taïbi, Djaouad 1 Vandaele, Pierre 1 Vares, Maria Eulalia 1 Videla, Leonardo A. 1 Villemonais, Denis 1 Ycart, Bernard all top 5 Serials 12 Journal of Statistical Physics 11 Advances in Applied Probability 8 Journal of Applied Probability 6 Ergodic Theory and Dynamical Systems 5 The Annals of Probability 5 SIAM Journal on Matrix Analysis and Applications 4 Advances in Applied Mathematics 4 Probability Theory and Related Fields 4 Journal of Theoretical Probability 3 Nonlinearity 3 Chaos, Solitons and Fractals 3 Transactions of the American Mathematical Society 3 Linear Algebra and its Applications 3 Mathematics and its Applications (Dordrecht) 3 Travaux en Cours 2 Journal of Mathematical Biology 2 Proceedings of the American Mathematical Society 2 Theoretical Computer Science 2 Statistics & Probability Letters 2 Revista de Matemáticas Aplicadas 2 SIAM Journal on Discrete Mathematics 2 Complex Systems 2 Stochastic Processes and their Applications 2 Stochastics 1 Discrete Applied Mathematics 1 Information Processing Letters 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Linear and Multilinear Algebra 1 Physica A 1 Rocky Mountain Journal of Mathematics 1 Theory of Probability and its Applications 1 Applied Mathematics and Computation 1 Information and Control 1 Journal of Functional Analysis 1 Mathematicae Notae 1 Stochastic Analysis and Applications 1 Random Structures & Algorithms 1 The Annals of Applied Probability 1 Journal of Physics A: Mathematical and General 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Potential Analysis 1 Computational and Applied Mathematics 1 Discrete and Continuous Dynamical Systems 1 Resenhas do Instituto do Matemática e Estatística da Universidade de São Paulo 1 Markov Processes and Related Fields 1 Far East Journal of Theoretical Statistics 1 Probability in the Engineering and Informational Sciences 1 Methodology and Computing in Applied Probability 1 Stochastic Models 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Statistical Applications in Genetics and Molecular Biology 1 Journal of Statistical Mechanics: Theory and Experiment 1 Lecture Notes in Mathematics 1 NATO ASI Series. Series C. Mathematical and Physical Sciences 1 Journal de l’École Polytechnique – Mathématiques 1 Probability and its Applications all top 5 Fields 87 Probability theory and stochastic processes (60-XX) 30 Dynamical systems and ergodic theory (37-XX) 23 Biology and other natural sciences (92-XX) 21 Computer science (68-XX) 21 Statistical mechanics, structure of matter (82-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 12 General and overarching topics; collections (00-XX) 9 Measure and integration (28-XX) 8 General topology (54-XX) 8 Statistics (62-XX) 7 Combinatorics (05-XX) 6 Partial differential equations (35-XX) 5 Operator theory (47-XX) 3 Potential theory (31-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Group theory and generalizations (20-XX) 2 Numerical analysis (65-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 91 Publications have been cited 797 times in 563 Documents Cited by ▼ Year ▼ Quasi-stationary distributions. Markov chains, diffusions and dynamical systems. Zbl 1261.60002Collet, Pierre; Martínez, Servet; San Martín, Jaime 69 2013 Quasi-stationary distributions and diffusion models in population dynamics. Zbl 1176.92041Cattiaux, Patrick; Collet, Pierre; Lambert, Amaury; Martínez, Servet; Méléard, Sylvie; San Martín, Jaime 61 2009 Existence of quasi-stationary distributions: A renewal dynamical approach. Zbl 0827.60061Ferrari, P. A.; Kesten, H.; Martinez, S.; Picco, P. 57 1995 Inverses of strictly ultrametric matrices are of Stieltjes type. Zbl 0798.15030Martínez, Servet; Michon, Gérard; San Martín, Jaime 36 1994 Neural and automata networks. Dynamical behavior and applications. Zbl 1103.37302Goles, Eric; Martínez, Servet 33 1990 Entropy pairs for a measure. Zbl 0833.58022Blanchard, F.; Host, B.; Maass, A.; Martinez, S.; Rudolph, D. J. 30 1995 \(R\)-positivity, quasi-stationary distributions and ratio limit theorems for a class of probabilistic automata. Zbl 0855.60061Ferrari, P. A.; Kesten, H.; Martínez, S. 21 1996 Cesàro mean distribution of group automata starting from measures with summable decay. Zbl 0992.37011Ferrari, Pablo A.; Maass, Alejandro; Martínez, Servet; Ney, Peter 21 2000 On prolific individuals in a supercritical continuous-state branching process. Zbl 1154.60066Bertoin, Jean; Fontbona, Joaquin; Martínez, Servet 19 2008 The Yorke-Pianigiani measure and the asymptotic law on the limit Cantor set of expanding systems. Zbl 0806.58037Collet, Pierre; Martínez, Servet; Schmitt, Bernard 18 1994 Asymptotic laws for one-dimensional diffusions conditioned to nonabsorption. Zbl 0867.60046Collet, Pierre; Martínez, Servet; San Martín, Jaime 18 1995 Exponential inequalities for dynamical measures of expanding maps of the interval. Zbl 1087.37028Collet, P.; Martinez, S.; Schmitt, B. 18 2002 Inverse \(M\)-matrices and ultrametric matrices. Zbl 1311.15002Dellacherie, Claude; Martinez, Servet; San Martin, Jaime 18 2014 Quasi-stationary distributions for a Brownian motion with drift and associated limit laws. Zbl 0818.60071Martinez, Servet; San Martin, Jaime 16 1994 Decay rates and cutoff for convergence and hitting times of Markov chains with countably infinite state space. Zbl 0979.60066Martínez, Servet; Ycart, Bernard 15 2001 Ultrametric matrices and induced Markov chains. Zbl 0861.60077Dellacherie, Claude; Martínez, Servet; San Martín, Jaime 14 1996 Asymptotic behaviour of a Brownian motion on exterior domains. Zbl 0959.60077Collet, Pierre; Martínez, Servet; San Martín, Jaime 14 2000 Uniform Bernoulli measure in dynamics of permutative cellular automata with algebraic local rules. Zbl 1053.54046Host, Bernard; Maass, Alejandro; Martínez, Servet 14 2003 Existence of non-trivial quasi-stationary distributions in the birth- death chain. Zbl 0769.60063Ferrari, Pablo A.; Martínez, Servet; Picco, Pierre 12 1992 Domain of attraction of quasi-stationary distributions for the Brownian motion with drift. Zbl 0911.60070Martínez, Servet; Picco, Pierre; San Martín, Jaime 11 1998 Finite coarse-graining and Chapman-Kolmogorov equation in conservative dynamical systems. Zbl 0729.60076Nicolis, G.; Martínez, S.; Tirapegui, E. 11 1991 Fragmentation energy. Zbl 1080.60080Bertoin, Jean; Martínez, Servet 10 2005 Existence and uniqueness of a quasistationary distribution for Markov processes with fast return from infinity. Zbl 1326.37005Martínez, Servet; Martín, Jaime San; Villemonais, Denis 10 2014 Asymptotic distribution of tests for expanding maps of the interval. Zbl 1058.37027Collet, P.; Martinez, S.; Schmitt, B. 9 2004 Sampling from finite random partitions. Zbl 1038.60007Huillet, Thierry; Martinez, Servet 9 2003 Classification of killed one-dimensional diffusions. Zbl 1045.60083Martínez, Servet; San Martín, Jaime 9 2004 Description of a class of Markov processes ”equivalent” to K-shifts. Zbl 0598.60099Martinez, S.; Tirapegui, E. 9 1984 On the limit set of some universal cellular automata. Zbl 0774.68085Goles, Eric; Maass, Alejandro; Martinez, Servet 8 1993 The Pianigiani-Yorke measure for topological Markov chains. Zbl 0902.58016Collet, Pierre; Martínez, Servet; Schmitt, Bernard 8 1997 Description of the sub-Markov kernel associated to generalized ultrametric matrices. An algorithmic approach. Zbl 0967.65054Dellacherie, Claude; Martínez, Servet; San Martín, Jaime 8 2000 Rates of decay and \(h\)-processes for one dimensional diffusions conditioned on non-absorption. Zbl 0981.60073Martínez, Servet; San Martín, Jaime 8 2001 On Cesàro limit distribution of a class of permutative cellular automata. Zbl 1055.37509Maass, Alejandro; Martínez, Servet 8 1998 Stochastic models for a chemostat and long-time behavior. Zbl 1274.60239Collet, Pierre; Martínez, Servet; Méléard, Sylvie; San Martín, Jaime 8 2013 Quasi-stationary distributions for structured birth and death processes with mutations. Zbl 1245.92062Collet, Pierre; Martínez, Servet; Méléard, Sylvie; San Martín, Jaime 8 2011 Hadamard functions of inverse \(M\)-matrices. Zbl 1196.15031Dellacherie, Claude; Martinez, Servet; San Martin, Jaime 7 2009 Large deviations-based upper bounds on the expected relative length of longest common subsequences. Zbl 1101.60016Hauser, Raphael; Martínez, Servet; Matzinger, Heinrich 7 2006 Exponential transient classes of symmetric neural networks for synchronous and sequential updating. Zbl 0727.68098Goles, Eric; Martinez, Servet 7 1989 Thermodynamics of a Brownian bridge polymer model in a random environment. Zbl 0919.60078Martínez, Servet; Petritis, Dimitri 6 1996 A lower bound for the memory capacity in the Potts-Hopfield model. Zbl 0890.68110Ferrari, Pablo A.; Martínez, Servet; Picco, Pierre 6 1992 Asymptotic randomization of subgroup shifts by linear cellular automata. Zbl 1115.37011Maass, Alejandro; Martínez, Servet; Pivato, Marcus; Yassawi, Reem 6 2006 Duality and intertwining for discrete Markov kernels: relations and examples. Zbl 1225.60127Huillet, Thierry; Martinez, Servet 6 2011 Quasi-stationary distribution and Gibbs measure of expanding systems. Zbl 0897.60097Collet, Pierre; Martínez, Servet; Schmitt, Bernard 5 1996 Ratio limit theorems for a Brownian motion killed at the boundary of a Benedicks domain. Zbl 0965.60076Collet, Pierre; Martínez, Servet; San Martín, Jaime 5 1999 A new class of inverse M-matrices of tree-like type. Zbl 1043.15018Martínez, Servet; San Martín, Jaime; Zhang, Xiao-Dong 5 2003 Energy functions in neural networks with continuous local functions. Zbl 0734.93071Fogelman Soulié, F.; Mejia, C.; Goles, Eric; Martinez, S. 5 1989 Diffusions from infinity. Zbl 1447.60131Bansaye, Vincent; Collet, Pierre; Martinez, Servet; Méléard, Sylvie; San Martin, Jaime 4 2019 The \(\lambda\)-classification of continuous-time birth-and-death processes. Zbl 1044.60082Hart, Andrew G.; Martínez, Servet; San Martín, Jaime 4 2003 Time averages for some classes of expansive one-dimensional cellular automata. Zbl 1098.68624Maass, Alejandro; Martínez, Servet 4 1999 On the existence of conditionally invariant probability measures in dynamical systems. Zbl 0974.37003Collet, Pierre; Martínez, Servet; Maume-Deschamps, Véronique 4 2000 Hadamard functions that preserve inverse \(M\)-matrices. Zbl 1262.15032Dellacherie, Claude; Martinez, Servet; Martin, Jaime San 4 2012 Ergodic description of STIT tessellations. Zbl 1262.60014Martínez, S.; Nagel, W. 4 2012 Statistical testing of Chargaff’s second parity rule in bacterial genome sequences. Zbl 1215.62116Hart, Andrew; Martínez, Servet 4 2011 The class of inverse \(M\)-matrices associated to random walks. Zbl 1273.15036Dellacherie, Claude; Martinez, Servet; San Martin, Jaime 3 2013 Potential kernels associated to a filtration. (Noyaux potentiels associés à une filtration.) Zbl 0914.60046Dellacherie, C.; Taïbi, D.; Martinez, S.; San Martin, J. 3 1998 Some bounds on the coupon collector problem. Zbl 1063.60008Martinez, Servet 3 2004 STIT tessellations have trivial tail {\(\sigma\)}-algebra. Zbl 1315.60018Martínez, Servet; Nagel, Werner 3 2014 A short proof on the cyclic behaviour of multithreshold symmetric automata. Zbl 0503.68038Goles Ch., Eric; Martinez A., Servet 3 1981 Properties of positive functions and the dynamics of associated automata networks. Zbl 0642.68090Goles, Eric Ch.; Martínez A., Servet 3 1987 Opérateurs filtrés et chaînes de tribus invariantes sur un espace probabilisé dénombrable. (Filtered operators and chains of invariant \(\sigma\)-fields on a countable probability space). Zbl 0657.60073Dartnell, P.; Martinez, S.; San Martin, J. 3 1988 Ultrametric and tree potential. Zbl 1176.60069Dellacherie, Claude; Martinez, Servet; San Martin, Jaime 3 2009 Dirichlet-Kingman partition revisited. Zbl 1143.60315Huillet, Thierry; Martinez, Servet 3 2008 A simple maximization model inspired by algorithms for the organization of genetic candidates in bacterial DNA. Zbl 1110.92011Hart, Andrew G.; Martínez, Servet; Videla, Leonardo 3 2006 A note on the quasi-stationary distribution of the Shiryaev martingale on the positive half-line. Zbl 1442.60078Polunchenko, A. S.; Martínez, S.; Martín, J. San 3 2019 Level-wise approximation of a Markov process associated to the boundary of an infinite tree. Zbl 1132.60055Martínez, Servet; Remenik, Daniel; San Martín, Jaime 2 2007 Cellular automata and cooperative systems. Proceedings of the NATO Advanced Study Institute held in Les Houches, France, June 22-July 2, 1992. Zbl 0811.00025 2 1993 Asymptotic of the heat kernel in general Benedicks domains. Zbl 1020.60069Collet, Pierre; Martínez, Servet; San Martín, Jaime 2 2003 STIT tessellations are Bernoulli and standard. Zbl 1302.60026Martínez, Servet 2 2014 Hamiltonians on random walk trajectories. Zbl 0927.60081Ferrari, Pablo A.; Martínez, Servet 2 1998 The one-site distributions of Gibbs states on Bethe lattice are probability vectors of period \(\leq 2\) for a nonlinear transformation. Zbl 1082.82506Goles, Eric; Martínez, Servet 2 1988 Thermodynamic potentials for non-equilibrium systems. Zbl 0994.82074Descalzi, Orazio; Martinez, Servet; Tirapegui, Enrique 2 2001 Ratio limit theorem for parabolic horn-shaped domains. Zbl 1115.60074Collet, Pierre; Martinez, Servet; San Martin, Jaime 2 2006 Around multicolour disordered lattice gas. Zbl 1107.82029Dermoune, Azzouz; Martinez, Servet 2 2006 On Möbius duality and coarse-graining. Zbl 1333.05034Huillet, Thierry; Martínez, Servet 1 2016 On a test for generalized upper truncated Weibull distributions. Zbl 0735.62026Martínez, Servet; Quintana, Fernando 1 1991 Attractiveness of the Haar measure for linear cellular automata on Markov subgroups. Zbl 1121.37017Maass, Alejandro; Martínez, Servet; Pivato, Marcus; Yassawi, Reem 1 2006 Automata networks strategies for optimization problems. Zbl 0875.92003Goles, Eric; Martinez, Servet 1 1992 Errata: Lyapunov functionals for automata networks defined by cyclically monotone functions. Zbl 0808.68074Goles, E.; Martínez, S. 1 1993 Inverse \(M\)-matrix, a new characterization. Zbl 1434.15006Dellacherie, Claude; Martínez, Servet; San Martín, Jaime 1 2020 Additive representation of symmetric inverse \(M\)-matrices and potentials. Zbl 1352.15036Dellacherie, Claude; Martinez, Servet; San Martin, Jaime 1 2016 Quasi-stationary distributions: Continued fraction and chain sequence criteria for recurrence. Zbl 0853.60056Ferrari, Pablo A.; Martínez A., Servet 1 1994 A class of \(M\)-matrices whose graphs are trees. Zbl 1064.15030Martínez, Servet; San Martín, Jaime; Zhang, Xiao-Dong 1 2004 Order relations of measures when avoiding decreasing sets. Zbl 1052.60055Collet, Pierre; López, F. Javier; Martínez, Servet 1 2003 Phase transition for absorbed Brownian motion with drift. Zbl 0920.60094Ferrari, P. A.; Martinez, S.; San Martín, J. 1 1997 \(R\)-positivity of nearest neighbor matrices and applications to Gibbs states. Zbl 1202.60157Littin, Jorge; Martínez, Servet 1 2010 Markovianness and conditional independence in annotated bacterial DNA. Zbl 1302.92069Hart, Andrew; Martínez, Servet 1 2014 A Gibbs approach to Chargaff’s second parity rule. Zbl 1235.82105Hart, Andrew; Martínez, Servet; Olmos, Felipe 1 2012 Corrigendum to: “A probabilistic analysis of a discrete-time evolution in recombination”. Zbl 1469.92078Martínez, Servet 1 2019 A probabilistic analysis of a discrete-time evolution in recombination. Zbl 1371.92088Martínez, Servet 1 2017 Limit measures for affine cellular automata on topological Markov subgroups. Zbl 1157.54324Maass, Alejandro; Martínez, Servet; Sobottka, Marcelo 1 2006 Equivalence of the four versions of Tsallis’s statistics. Zbl 1456.82002Ferri, G. L.; Martínez, S.; Plastino, A. 1 2005 Lyapunov functionals for automata networks defined by cyclically monotone functions. Zbl 0726.68058Goles, Eric; Martínez, Servet 1 1991 Inverse \(M\)-matrix, a new characterization. Zbl 1434.15006Dellacherie, Claude; Martínez, Servet; San Martín, Jaime 1 2020 Diffusions from infinity. Zbl 1447.60131Bansaye, Vincent; Collet, Pierre; Martinez, Servet; Méléard, Sylvie; San Martin, Jaime 4 2019 A note on the quasi-stationary distribution of the Shiryaev martingale on the positive half-line. Zbl 1442.60078Polunchenko, A. S.; Martínez, S.; Martín, J. San 3 2019 Corrigendum to: “A probabilistic analysis of a discrete-time evolution in recombination”. Zbl 1469.92078Martínez, Servet 1 2019 A probabilistic analysis of a discrete-time evolution in recombination. Zbl 1371.92088Martínez, Servet 1 2017 On Möbius duality and coarse-graining. Zbl 1333.05034Huillet, Thierry; Martínez, Servet 1 2016 Additive representation of symmetric inverse \(M\)-matrices and potentials. Zbl 1352.15036Dellacherie, Claude; Martinez, Servet; San Martin, Jaime 1 2016 Inverse \(M\)-matrices and ultrametric matrices. Zbl 1311.15002Dellacherie, Claude; Martinez, Servet; San Martin, Jaime 18 2014 Existence and uniqueness of a quasistationary distribution for Markov processes with fast return from infinity. Zbl 1326.37005Martínez, Servet; Martín, Jaime San; Villemonais, Denis 10 2014 STIT tessellations have trivial tail {\(\sigma\)}-algebra. Zbl 1315.60018Martínez, Servet; Nagel, Werner 3 2014 STIT tessellations are Bernoulli and standard. Zbl 1302.60026Martínez, Servet 2 2014 Markovianness and conditional independence in annotated bacterial DNA. Zbl 1302.92069Hart, Andrew; Martínez, Servet 1 2014 Quasi-stationary distributions. Markov chains, diffusions and dynamical systems. Zbl 1261.60002Collet, Pierre; Martínez, Servet; San Martín, Jaime 69 2013 Stochastic models for a chemostat and long-time behavior. Zbl 1274.60239Collet, Pierre; Martínez, Servet; Méléard, Sylvie; San Martín, Jaime 8 2013 The class of inverse \(M\)-matrices associated to random walks. Zbl 1273.15036Dellacherie, Claude; Martinez, Servet; San Martin, Jaime 3 2013 Hadamard functions that preserve inverse \(M\)-matrices. Zbl 1262.15032Dellacherie, Claude; Martinez, Servet; Martin, Jaime San 4 2012 Ergodic description of STIT tessellations. Zbl 1262.60014Martínez, S.; Nagel, W. 4 2012 A Gibbs approach to Chargaff’s second parity rule. Zbl 1235.82105Hart, Andrew; Martínez, Servet; Olmos, Felipe 1 2012 Quasi-stationary distributions for structured birth and death processes with mutations. Zbl 1245.92062Collet, Pierre; Martínez, Servet; Méléard, Sylvie; San Martín, Jaime 8 2011 Duality and intertwining for discrete Markov kernels: relations and examples. Zbl 1225.60127Huillet, Thierry; Martinez, Servet 6 2011 Statistical testing of Chargaff’s second parity rule in bacterial genome sequences. Zbl 1215.62116Hart, Andrew; Martínez, Servet 4 2011 \(R\)-positivity of nearest neighbor matrices and applications to Gibbs states. Zbl 1202.60157Littin, Jorge; Martínez, Servet 1 2010 Quasi-stationary distributions and diffusion models in population dynamics. Zbl 1176.92041Cattiaux, Patrick; Collet, Pierre; Lambert, Amaury; Martínez, Servet; Méléard, Sylvie; San Martín, Jaime 61 2009 Hadamard functions of inverse \(M\)-matrices. Zbl 1196.15031Dellacherie, Claude; Martinez, Servet; San Martin, Jaime 7 2009 Ultrametric and tree potential. Zbl 1176.60069Dellacherie, Claude; Martinez, Servet; San Martin, Jaime 3 2009 On prolific individuals in a supercritical continuous-state branching process. Zbl 1154.60066Bertoin, Jean; Fontbona, Joaquin; Martínez, Servet 19 2008 Dirichlet-Kingman partition revisited. Zbl 1143.60315Huillet, Thierry; Martinez, Servet 3 2008 Level-wise approximation of a Markov process associated to the boundary of an infinite tree. Zbl 1132.60055Martínez, Servet; Remenik, Daniel; San Martín, Jaime 2 2007 Large deviations-based upper bounds on the expected relative length of longest common subsequences. Zbl 1101.60016Hauser, Raphael; Martínez, Servet; Matzinger, Heinrich 7 2006 Asymptotic randomization of subgroup shifts by linear cellular automata. Zbl 1115.37011Maass, Alejandro; Martínez, Servet; Pivato, Marcus; Yassawi, Reem 6 2006 A simple maximization model inspired by algorithms for the organization of genetic candidates in bacterial DNA. Zbl 1110.92011Hart, Andrew G.; Martínez, Servet; Videla, Leonardo 3 2006 Ratio limit theorem for parabolic horn-shaped domains. Zbl 1115.60074Collet, Pierre; Martinez, Servet; San Martin, Jaime 2 2006 Around multicolour disordered lattice gas. Zbl 1107.82029Dermoune, Azzouz; Martinez, Servet 2 2006 Attractiveness of the Haar measure for linear cellular automata on Markov subgroups. Zbl 1121.37017Maass, Alejandro; Martínez, Servet; Pivato, Marcus; Yassawi, Reem 1 2006 Limit measures for affine cellular automata on topological Markov subgroups. Zbl 1157.54324Maass, Alejandro; Martínez, Servet; Sobottka, Marcelo 1 2006 Fragmentation energy. Zbl 1080.60080Bertoin, Jean; Martínez, Servet 10 2005 Equivalence of the four versions of Tsallis’s statistics. Zbl 1456.82002Ferri, G. L.; Martínez, S.; Plastino, A. 1 2005 Asymptotic distribution of tests for expanding maps of the interval. Zbl 1058.37027Collet, P.; Martinez, S.; Schmitt, B. 9 2004 Classification of killed one-dimensional diffusions. Zbl 1045.60083Martínez, Servet; San Martín, Jaime 9 2004 Some bounds on the coupon collector problem. Zbl 1063.60008Martinez, Servet 3 2004 A class of \(M\)-matrices whose graphs are trees. Zbl 1064.15030Martínez, Servet; San Martín, Jaime; Zhang, Xiao-Dong 1 2004 Uniform Bernoulli measure in dynamics of permutative cellular automata with algebraic local rules. Zbl 1053.54046Host, Bernard; Maass, Alejandro; Martínez, Servet 14 2003 Sampling from finite random partitions. Zbl 1038.60007Huillet, Thierry; Martinez, Servet 9 2003 A new class of inverse M-matrices of tree-like type. Zbl 1043.15018Martínez, Servet; San Martín, Jaime; Zhang, Xiao-Dong 5 2003 The \(\lambda\)-classification of continuous-time birth-and-death processes. Zbl 1044.60082Hart, Andrew G.; Martínez, Servet; San Martín, Jaime 4 2003 Asymptotic of the heat kernel in general Benedicks domains. Zbl 1020.60069Collet, Pierre; Martínez, Servet; San Martín, Jaime 2 2003 Order relations of measures when avoiding decreasing sets. Zbl 1052.60055Collet, Pierre; López, F. Javier; Martínez, Servet 1 2003 Exponential inequalities for dynamical measures of expanding maps of the interval. Zbl 1087.37028Collet, P.; Martinez, S.; Schmitt, B. 18 2002 Decay rates and cutoff for convergence and hitting times of Markov chains with countably infinite state space. Zbl 0979.60066Martínez, Servet; Ycart, Bernard 15 2001 Rates of decay and \(h\)-processes for one dimensional diffusions conditioned on non-absorption. Zbl 0981.60073Martínez, Servet; San Martín, Jaime 8 2001 Thermodynamic potentials for non-equilibrium systems. Zbl 0994.82074Descalzi, Orazio; Martinez, Servet; Tirapegui, Enrique 2 2001 Cesàro mean distribution of group automata starting from measures with summable decay. Zbl 0992.37011Ferrari, Pablo A.; Maass, Alejandro; Martínez, Servet; Ney, Peter 21 2000 Asymptotic behaviour of a Brownian motion on exterior domains. Zbl 0959.60077Collet, Pierre; Martínez, Servet; San Martín, Jaime 14 2000 Description of the sub-Markov kernel associated to generalized ultrametric matrices. An algorithmic approach. Zbl 0967.65054Dellacherie, Claude; Martínez, Servet; San Martín, Jaime 8 2000 On the existence of conditionally invariant probability measures in dynamical systems. Zbl 0974.37003Collet, Pierre; Martínez, Servet; Maume-Deschamps, Véronique 4 2000 Ratio limit theorems for a Brownian motion killed at the boundary of a Benedicks domain. Zbl 0965.60076Collet, Pierre; Martínez, Servet; San Martín, Jaime 5 1999 Time averages for some classes of expansive one-dimensional cellular automata. Zbl 1098.68624Maass, Alejandro; Martínez, Servet 4 1999 Domain of attraction of quasi-stationary distributions for the Brownian motion with drift. Zbl 0911.60070Martínez, Servet; Picco, Pierre; San Martín, Jaime 11 1998 On Cesàro limit distribution of a class of permutative cellular automata. Zbl 1055.37509Maass, Alejandro; Martínez, Servet 8 1998 Potential kernels associated to a filtration. (Noyaux potentiels associés à une filtration.) Zbl 0914.60046Dellacherie, C.; Taïbi, D.; Martinez, S.; San Martin, J. 3 1998 Hamiltonians on random walk trajectories. Zbl 0927.60081Ferrari, Pablo A.; Martínez, Servet 2 1998 The Pianigiani-Yorke measure for topological Markov chains. Zbl 0902.58016Collet, Pierre; Martínez, Servet; Schmitt, Bernard 8 1997 Phase transition for absorbed Brownian motion with drift. Zbl 0920.60094Ferrari, P. A.; Martinez, S.; San Martín, J. 1 1997 \(R\)-positivity, quasi-stationary distributions and ratio limit theorems for a class of probabilistic automata. Zbl 0855.60061Ferrari, P. A.; Kesten, H.; Martínez, S. 21 1996 Ultrametric matrices and induced Markov chains. Zbl 0861.60077Dellacherie, Claude; Martínez, Servet; San Martín, Jaime 14 1996 Thermodynamics of a Brownian bridge polymer model in a random environment. Zbl 0919.60078Martínez, Servet; Petritis, Dimitri 6 1996 Quasi-stationary distribution and Gibbs measure of expanding systems. Zbl 0897.60097Collet, Pierre; Martínez, Servet; Schmitt, Bernard 5 1996 Existence of quasi-stationary distributions: A renewal dynamical approach. Zbl 0827.60061Ferrari, P. A.; Kesten, H.; Martinez, S.; Picco, P. 57 1995 Entropy pairs for a measure. Zbl 0833.58022Blanchard, F.; Host, B.; Maass, A.; Martinez, S.; Rudolph, D. J. 30 1995 Asymptotic laws for one-dimensional diffusions conditioned to nonabsorption. Zbl 0867.60046Collet, Pierre; Martínez, Servet; San Martín, Jaime 18 1995 Inverses of strictly ultrametric matrices are of Stieltjes type. Zbl 0798.15030Martínez, Servet; Michon, Gérard; San Martín, Jaime 36 1994 The Yorke-Pianigiani measure and the asymptotic law on the limit Cantor set of expanding systems. Zbl 0806.58037Collet, Pierre; Martínez, Servet; Schmitt, Bernard 18 1994 Quasi-stationary distributions for a Brownian motion with drift and associated limit laws. Zbl 0818.60071Martinez, Servet; San Martin, Jaime 16 1994 Quasi-stationary distributions: Continued fraction and chain sequence criteria for recurrence. Zbl 0853.60056Ferrari, Pablo A.; Martínez A., Servet 1 1994 On the limit set of some universal cellular automata. Zbl 0774.68085Goles, Eric; Maass, Alejandro; Martinez, Servet 8 1993 Cellular automata and cooperative systems. Proceedings of the NATO Advanced Study Institute held in Les Houches, France, June 22-July 2, 1992. Zbl 0811.00025 2 1993 Errata: Lyapunov functionals for automata networks defined by cyclically monotone functions. Zbl 0808.68074Goles, E.; Martínez, S. 1 1993 Existence of non-trivial quasi-stationary distributions in the birth- death chain. Zbl 0769.60063Ferrari, Pablo A.; Martínez, Servet; Picco, Pierre 12 1992 A lower bound for the memory capacity in the Potts-Hopfield model. Zbl 0890.68110Ferrari, Pablo A.; Martínez, Servet; Picco, Pierre 6 1992 Automata networks strategies for optimization problems. Zbl 0875.92003Goles, Eric; Martinez, Servet 1 1992 Finite coarse-graining and Chapman-Kolmogorov equation in conservative dynamical systems. Zbl 0729.60076Nicolis, G.; Martínez, S.; Tirapegui, E. 11 1991 On a test for generalized upper truncated Weibull distributions. Zbl 0735.62026Martínez, Servet; Quintana, Fernando 1 1991 Lyapunov functionals for automata networks defined by cyclically monotone functions. Zbl 0726.68058Goles, Eric; Martínez, Servet 1 1991 Neural and automata networks. Dynamical behavior and applications. Zbl 1103.37302Goles, Eric; Martínez, Servet 33 1990 Exponential transient classes of symmetric neural networks for synchronous and sequential updating. Zbl 0727.68098Goles, Eric; Martinez, Servet 7 1989 Energy functions in neural networks with continuous local functions. Zbl 0734.93071Fogelman Soulié, F.; Mejia, C.; Goles, Eric; Martinez, S. 5 1989 Opérateurs filtrés et chaînes de tribus invariantes sur un espace probabilisé dénombrable. (Filtered operators and chains of invariant \(\sigma\)-fields on a countable probability space). Zbl 0657.60073Dartnell, P.; Martinez, S.; San Martin, J. 3 1988 The one-site distributions of Gibbs states on Bethe lattice are probability vectors of period \(\leq 2\) for a nonlinear transformation. Zbl 1082.82506Goles, Eric; Martínez, Servet 2 1988 Properties of positive functions and the dynamics of associated automata networks. Zbl 0642.68090Goles, Eric Ch.; Martínez A., Servet 3 1987 Description of a class of Markov processes ”equivalent” to K-shifts. Zbl 0598.60099Martinez, S.; Tirapegui, E. 9 1984 A short proof on the cyclic behaviour of multithreshold symmetric automata. Zbl 0503.68038Goles Ch., Eric; Martinez A., Servet 3 1981 all cited Publications top 5 cited Publications all top 5 Cited by 719 Authors 46 Martinez Aguilera, Servet 21 San Martín, Jaime 17 Collet, Pierre 14 Huillet, Thierry E. 10 Champagnat, Nicolas 10 Villemonais, Denis 9 Chazottes, Jean-René 9 Demers, Mark F. 9 Goles Chacc, Eric 9 Kyprianou, Andreas E. 9 Méléard, Sylvie 9 Ye, Xiangdong 9 Zhang, Hanjun 8 Huang, Wen 7 Dedecker, Jérôme 7 Ferrari, Pablo Augusto 7 Matzinger, Heinrich III 7 Palmowski, Zbigniew 7 Zhang, Guohua 6 Cloez, Bertrand 6 Dellacherie, Claude 6 Durieu, Olivier 6 He, Guoman 6 Lelièvre, Tony 6 Neumann, Michael 6 Polunchenko, Aleksey S. 6 Prieur, Clémentine 6 Theyssier, Guillaume 5 Asselah, Amine 5 Barrera, Gerardo 5 Berestycki, Julien 5 Cattiaux, Patrick 5 Foucart, Clément 5 Groisman, Pablo 5 Guillotin-Plantard, Nadine 5 Hening, Alexandru 5 Hössjer, Ola G. 5 Löcherbach, Eva 5 Nagel, Werner 5 Richard, Adrien 5 van Doorn, Erik A. 4 Bridoux, Florian 4 Carmona, Ángeles 4 Gadouleau, Maximilien 4 Galves, Antonio 4 Hart, Andrew G. 4 Jonckheere, Matthieu 4 Lambert, Amaury 4 Li, Hanfeng 4 Maass, Alejandro 4 Nabben, Reinhard 4 Nicolis, Gregoire 4 Oçafrain, William 4 Orponen, Pekka 4 Sablik, Mathieu 4 Sené, Sylvain 4 Steinsaltz, David R. 3 Bansaye, Vincent 3 Barrera, Javiera 3 Borkar, Vivek Shripad 3 Chernov, Nikolai Ivanovich 3 Clancy, Damian 3 Deblassie, Dante 3 Dehling, Herold G. 3 Diaconis, Persi Warren 3 Fan, Xiequan 3 Fontbona, Joaquin 3 Harris, Simon C. 3 Hauser, Raphael Andreas 3 Kolb, Martin 3 Krell, Nathalie 3 Löwe, Matthias 3 Marcovici, Irène 3 Möhle, Martin 3 Mortveit, Henning S. 3 Nguyen, Dang Hai 3 Nicolis, Catherine 3 Pardo, Juan Carlos 3 Perrot, Kévin 3 Pollett, Philip K. 3 Ren, Yanxia 3 Saloff-Coste, Laurent 3 Taati, Siamak 3 Yan, Kesong 3 Young, Lai-Sang 3 Zwiernik, Piotr 2 Adiga, Abhijin 2 Aimino, Romain 2 Allen, Benjamin L. 2 Aristoff, David 2 Aurzada, Frank 2 Benaïm, Michel 2 Bendikov, Alexander D. 2 Berestycki, Nathanaël 2 Bertoglio, Néstor 2 Bertoncini, Olivier 2 Boccara, Nino 2 Budhiraja, Amarjit S. 2 Cavicchia, Carlo 2 Chen, Anyue ...and 619 more Authors all top 5 Cited in 159 Serials 40 Stochastic Processes and their Applications 33 Journal of Statistical Physics 23 Linear Algebra and its Applications 18 The Annals of Probability 18 Ergodic Theory and Dynamical Systems 16 Journal of Applied Probability 16 Theoretical Computer Science 14 Statistics & Probability Letters 14 The Annals of Applied Probability 13 Journal of Mathematical Biology 13 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 12 Advances in Applied Probability 9 Transactions of the American Mathematical Society 9 Probability Theory and Related Fields 9 Journal of Theoretical Probability 9 Electronic Journal of Probability 8 Israel Journal of Mathematics 8 Bernoulli 8 ALEA. Latin American Journal of Probability and Mathematical Statistics 7 Journal of Functional Analysis 7 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 6 Acta Applicandae Mathematicae 6 Methodology and Computing in Applied Probability 5 Physica D 5 Potential Analysis 5 Science China. Mathematics 4 Communications in Mathematical Physics 4 Bulletin of Mathematical Biology 4 Advances in Applied Mathematics 4 Stochastic Analysis and Applications 4 Probability in the Engineering and Informational Sciences 4 Stochastic Models 4 Stochastics and Dynamics 4 Stochastics 3 Discrete Applied Mathematics 3 Journal of Mathematical Analysis and Applications 3 Journal of Mathematical Physics 3 Physica A 3 Journal of Computer and System Sciences 3 Journal of Differential Equations 3 SIAM Journal on Discrete Mathematics 3 Annales de l’Institut Henri Poincaré. Physique Théorique 3 Electronic Communications in Probability 3 Discrete and Continuous Dynamical Systems 3 Frontiers of Mathematics in China 3 Probability Surveys 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 Information Processing Letters 2 Mathematical Biosciences 2 Nonlinearity 2 Chaos, Solitons and Fractals 2 Theory of Probability and its Applications 2 Advances in Mathematics 2 The Annals of Statistics 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 2 Journal of Economic Theory 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Control and Optimization 2 Theoretical Population Biology 2 Sequential Analysis 2 Queueing Systems 2 Communications in Statistics. Theory and Methods 2 Journal of Dynamics and Differential Equations 2 Boletim da Sociedade Brasileira de Matemática. Nova Série 2 Complexity 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Nonlinear Dynamics 2 Brazilian Journal of Probability and Statistics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Multiscale Modeling & Simulation 2 Journal of Statistical Mechanics: Theory and Experiment 2 Advances in Data Analysis and Classification. ADAC 2 Journal of Probability and Statistics 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 International Journal of Control 1 International Journal of General Systems 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Computational Physics 1 Letters in Mathematical Physics 1 Linear and Multilinear Algebra 1 Mathematische Semesterberichte 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 Reviews in Mathematical Physics 1 Annales de l’Institut Fourier 1 Annals of the Institute of Statistical Mathematics 1 Automatica 1 Canadian Journal of Mathematics 1 Czechoslovak Mathematical Journal 1 Demonstratio Mathematica 1 Information Sciences 1 Inventiones Mathematicae 1 Journal of Multivariate Analysis 1 Kybernetika 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Osaka Journal of Mathematics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University ...and 59 more Serials all top 5 Cited in 45 Fields 357 Probability theory and stochastic processes (60-XX) 145 Dynamical systems and ergodic theory (37-XX) 91 Biology and other natural sciences (92-XX) 68 Statistical mechanics, structure of matter (82-XX) 64 Computer science (68-XX) 42 Statistics (62-XX) 36 Linear and multilinear algebra; matrix theory (15-XX) 25 Partial differential equations (35-XX) 24 Combinatorics (05-XX) 22 Measure and integration (28-XX) 21 Operator theory (47-XX) 17 Numerical analysis (65-XX) 16 Ordinary differential equations (34-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Systems theory; control (93-XX) 11 Operations research, mathematical programming (90-XX) 8 General topology (54-XX) 6 Potential theory (31-XX) 6 Difference and functional equations (39-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Information and communication theory, circuits (94-XX) 4 Group theory and generalizations (20-XX) 4 Functional analysis (46-XX) 3 Topological groups, Lie groups (22-XX) 3 Approximations and expansions (41-XX) 3 Integral equations (45-XX) 3 Fluid mechanics (76-XX) 2 Number theory (11-XX) 2 Field theory and polynomials (12-XX) 2 Algebraic geometry (14-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Abstract harmonic analysis (43-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) Citations by Year