Energy efficiency of consecutive fragmentation processes
Fontbona J; Krell N; Martínez S; Journal of Applied Probability 47, pp.543-561. (2010)

R-positivity of nearest neighbor matrices and applications to Gibbs states
Littin J; Martínez S; Stochastic Processes and their Applications 120(12) pp. 2432-2446. (2010)

Ultrametric and Tree Potential
Dellacherie C; Martinez S; Martin JS; J. of Theoretical Probability 22(2), pp. 311-347. (2009)

Hadamard functions of inverse M-Matrices
Dellacherie C; Martinez S; San Martin J; SIAM Journal on Matrix Analysis and Applications  31(2), pp. 289-315. (2009)

Ultrametric and Tree Potential
Dellacherie C; Martinez S; San Martín J; Journal of theoretical Probability 22(2), pp. 311-347. (2009)

Quasi-stationary distributions and diffusion models in population dynamics
Cattiaux P; Collet P; Lambert A; Martínez S; Méléard S; San Martín J; Ann. Probab.  37(5), pp. 1926-1969. (2009)

Calcium/Calmodulin-Dependent Protein Kinase Type IV Is a Target Gene of the Wnt/beta-Catenin Signaling Pathway
Arrazola MS; Varela-Nallar L; Colombres M; Toledo EM; Cruzat F; Pavez L; Assar R; Aravena A; González M; Montecino M; Maass A; Martinez S; Inestrosa NC; Journal of Cellular Physiology 221(3), pp. 658-667. (2009)

Dirichlet-Kingman Partition Revisited
Huillet T; Martinez S; Far East Journal of Theoretical Statistics Vol 24, nº 1, pp. 1-33. (2008)

Asymptotic velocity of one dimensional diffusions with periodic drift

Collet P; Martínez S; J. Math. Biol. 56, Nº 6, pp. 765-792. (2008)

On prolific individuals in a supercritical continuous state branching process
Bertoin J; Fontbona J; Martínez S; Journal Appl. Probab. 3, pp. 714-726. (2008)

Level-wise approximation of a Markov process associated to the boundary of an infinite tree
Remenik D; Martínez S; San Martín J; Journal Theoretical Probability Vol. 20, No. 3, pp. 561-579. (2007)

Around Multicolour disordered lattice gas
A. Dermoune, Martínez S; Journal Statistical Physics. Vol 123(1), pp. 181-192. (2006)

Asymptotic randomization of subgroup shifts by linear cellular automata
Maass A; Matínez S; M. Pivato, R. Yassawi. Ergodic Theory and Dynamical Systems. Vol. 26, pp. 1203-1224. (2006)

Stationary processes whose filtrations are standard
X. Bressaud, Maass A; Martínez S; San Martín J; Annals of Probability. Vol. 34(4), pp. 1589-1600. (2006)

Limit measures for affine cellular automata on topological markov subgroups
Maass A; Martínez S; M. Sobottka. Nonlinearity. Vol. 19(9), pp. 2137-2147. (2006)

Attractiveness of the Haar measure for linear cellular automata on Markov subgroups, Dynamics and Stochastics; Festschrift in honour of Michael Keane
Maass A; Martínez S; M. Pivato, R. Yassawi. Lecturers Notes Monograph, Series of the Ins. for Math. Statis. Vol 48, pp. 100-108. (2006)

Ratio limit theorem for parabolic horn-shaped domains
Collet P; Martínez S; San Martín J; Trans. Amer. Math. Soc. Vol. 358(11), pp. 5059-5082. (2006)

Large deviation based upper bounds on the expected relative lenght of longuest common subsequences
R. Hauser, Martínez S; H. Matzinger. Adv. in Applied prob. Vol. 38, pp. 827-852. (2006)

A simple maximization model inspired by algorithms for the organization of genetic candidates in bacterial DNA
Hart A; Martínez S; L. Videla. Adv. in Applied Prob. Vol. 38(4), pp. 1071-1097. (2006)

Fragmentation Energy
J. Bertoin. Martínez S; Adv. Appl. Prob. Vol. 37. pp. 553-570. (2005)

Corrigendum: "On the existence of conditionally invariant probability measures in dynamical systems" (Nonlinearity 13, Nº 4, pages 1263-1274, año 2000)
Collet P; Martínez S; Maume-Deschamps V; Nonlinearity. Vol. 17, No. 5, pp. 1985-1987. (2004)

Classification of Killed one Dimensional Diffusions
Martínez S; San Martín J; Ann. Probab. Vol. 32 (1). pp. 530-552. (2004)

Sequential dynamics of high order polynomial automata networks : an application to the Erglang fixed-point equations
Hart A; Martínez S; Appl. Math. Comput. Sci. Vol.151. pp. 507-522. (2004)

A Class of M-matrices whose graphs are trees
Martínez S; San Martín J; X. Zang. Linear and Multilinear Algebra. Vol. 52(5). pp. 303-319. (2004)

Asymptotic distribution of tests for expanding maps of the interval
Collet P; Martínez S; B. Schmit. Ergodic Theory Dyn. Syst. Vol. 254. pp. 707-722. (2004)

Some bounds on the coupon collector problem
Martínez S; Random Structures Algorithms 25, No 2, pp. 208-226. (2004)

Asymptotic of the heat kernel in general Benedicks domains
Collet P; Martínez S; San Martín J; Probab. Theory Related Fields 125, no. 3, pp. 350-364. (2003)

Sampling from Finite Random Partitions
Huillet T; Martínez S; Meth. And Comp. In Appl. Prob. Vol.5. pp. 467-492. (2003)

The Lambda-Classification of Continuous -Time Birth and Death Processes

Hart A; Martínez S; San Martín J; Adv. Appl. Probab. Vol. 35. pp. 1111-1130. (2003)

A. New Class of Inverse M- Matrices of Tree-Like Type
Martínez S;San Martín J; X. Zang.SIAM J. Matrix Anal. Appl. Vol. 24(4). pp. 1136-1148. (2003)

Uniform Bernoulli measure in dynamics of permutative cellular automat with algebraic local rules
Host B; Maass A; Martínez S; Discrete and Continous Dynamical Systems, 9, pp. 1423-1446. (2003)

Order relations of mesurements when avoiding decreasing sets
Collet P; López J; Martínez S; Statistics and Probability Letters, Vol. 65, No. 3, pp. 165-175. (2003)

The homotopical reduction of a nearest neighbor random walk
Fontbona J; Martínez S; Bull. Braz. Math. Soc. New Series 34(5), pp. 509-528. (2003)

Sequential iteration of the Erlang fixed-point equations
Hart A; Martínez S; Inform. Process. Lett. 81, no. 6, pp. 319. (2002)

Asymptotic behavior of a stationary silo with absorbing walls
Barros S; Ferrari P; Garcia N; Martínez S; J. Statist. Phys. 106, no. 3-4, pp. 521-546. (2002)

Exponential inequalities for dynamical measures of expanding maps of the interval
Collet P; Martínez S; Schmitt B; Probab. Theory Related Fields 123, no. 3, pp. 301-322. (2002)

Thermodynamic potentials for non-equilibrium systems. Irreversibility, probability and complexity (Les Treilles/Clausthal, 1999)
Descalzi O; Martínez S; Tirapegui E; Chaos Solitons Fractals 12, no. 14-15, pp. 2619 û 263. (2001)

Nonlinear Phenomena and Complex Systems, 6
Complex systems. Papers from the 6th Summer School held at the Universidad de Chile, Santiago, December pp.14-18, 1998. Edited by Goles Eric and Martínez Servet. Kluwer Academic Publishers, Dordrecht, 2001.

Decay rates and cutoff for convergence and hitting times of Markov chains with countably infinite state space
Martínez S; Ycart B; Adv. in Appl. Probab. 33, no. 1, pp. 188-205. (2001)

Rates of decay and h-processes for one dimensional diffusions conditioned on non-absorption
Martínez S; San Martín J; J. Theoret. Probab. 14, no. 1, pp. 199-212. (2001)

Cesàro mean distribution of group automata starting from measures with summable decay
Ferrari PA; Maass A; Martínez S; Peter N; Ergodic Theory Dynam. Systems 20, no. 6, pp. 1657-1670. (2000)

Stochastic domination and Markovian couplings
López FJ; Martínez S; Sanz G; Adv. in Appl. Probab. 32, no. 4, pp. 1064-1076. (2000)

Asymptotic behaviour of a Brownian motion on exterior domains
Collet P; Martínez S; San Martín J; Probab. Theory Related Fields 116, no. 3, pp. 303-316. (2000)

Description of the sub-Markov kernel associated to generalized ultrametric matrices. An algorithmic approach
Dellacherie C; Martínez S; San Martín J; Linear Algebra Appl. 318, no. 1-3, pp. 1-21. (2000)

On the existence of conditionally invariant probability measures in dynamical systems
Collet P; Martínez S; Maume-Deschamps V; Nonlinearity 13, no. 4, pp. 1263-1274. (2000)

Ratio limit theorems for a Brownian motion killed at the boundary of a Benedicks domain
Collet P; Martínez S; San Martín J; Ann. Probab. 27, no. 3, pp. 1160-1182. (1999)

Limiting conditional and conditional invariant distributions for the Poisson process with negative drift
Fierro R; Martínez S; San Martín J; J. Appl. Probab. 36, no. 4, pp. 1194-1209. (1999)

Cellular automata and complex systems. Nonlinear Phenomena and Complex Systems, 3
Goles E; Martínez, S, (eds.). Kluwer Academic Publishers, Dordrecht, 1999.

Diffusion coefficient in transient chaos
Collet P; Martínez S; Nonlinearity 12, no. 3, pp. 445-450. (1999)

The baker transformation as a nonlinear combination of pointwise mean expected value operators and the pointwise convergence to equilibrium
Martínez S; Tirapegui E; Chaos Solitons Fractals 10, no. 11, pp. 1843-1853. (1999)

Time averages for some classes of expansive one-dimensional cellular automata. Cellular automata and complex systems (Santiago, 1996), 37 - 54
Maass A; Martínez S; Nonlinear Phenom. Complex Systems, 3, Kluwer Acad. Publ., Dordrecht, (1999)

On the enhancement of diffusion by chaos, escape rates and stochastic instability
Collet P; Martínez S; Schmitt B; Trans. Amer. Math. Soc. 351, no. 7, pp. 2875-2897. (1999)

Hamiltonians on random walk trajectories. Stochastic Process
Ferrari PA; Martínez S; Appl. 78, no. 1, pp. 47-68. (1998)

Noyaux potentiels associés à une filtration
Dellacherie C; Taïbi D; Martínez S; San Martín J; Ann. Inst. H. Poincaré Probab. Statist. 34, no. 6, pp. 707-725. (1998)

Domain of attraction of quasi-stationary distributions for the Brownian motion with drift
Martínez S; Picco P; San Martín J; Adv. in Appl. Probab. 30, no. 2, pp. 385-408. (1998)

On Cesàro limit distribution of a class of permutative cellular automata
Maass A; Martínez S; J. Statist. Phys. 90, no. 1-2, pp. 435-452. (1998)

Coding nested mixing one-sided subshifts of finite type as Markov shifts having exactly the same alphabet
Maass A; Martínez S; Proc. Amer. Math. Soc. 126, no. 4, pp. 1219-1230. (1998)

A pointwise spectrum and representation of operators
Bertoglio N; Martínez S; San Martín J; Proc. Amer. Math. Soc. 126, no. 2, pp. 375-382. (1998)

Phase transition for absorbed Brownian motion with drift
Ferrari PA; Martínez S; San Martín J; J. Phys. 86, no. 1-2, pp. 213-231. (1997)

The Pianigiani-Yorke measure for topological Markov chains
Collet P; Martínez S; Schmitt B; Israel J. Math. 97, pp. 61-70. (1997)

Disordered systems
Bamón R; Gambaudo JM; Martínez S; (eds.). Hermann, Paris, 1996.

Dynamical systems
Bamón R; Gambaudo JM; Martínez S; (eds.). Hermann, Paris, 1996.

R-positivity, quasi-stationary distributions and ratio limit theorems for a class of probabilistic automata
Ferrari PA; Kesten H; Martínez S; Ann. Appl. Probab. 6, no. 2, pp. 577-616. (1996)

Quasi-stationary distribution and Gibbs measure of expanding systems. Instabilities and nonequilibrium structures, V (Santiago, 1993), 205 - 219
Collet P; Martínez S; Schmitt B; Nonlinear Phenom. Complex Systems, 1, Kluwer Acad. Publ., Dordrecht, 1996.

Ultrametric matrices and induced Markov chains
Dellacherie C; Martínez S; San Martín J; Adv. in Appl. Math. 17, no. 2, pp. 169-183. (1996)

Dynamics of complex interacting systems
Goles E; Martínez S; (eds.) Nonlinear Phenomena and Complex Systems, 2. Kluwer Academic Publishers, Dordrecht, 1996.

Thermodynamics of a Brownian bridge polymer model in a random environment
Martínez S; Petritis, Dimitri. J. Phys. A 29, no. 6, pp. 1267-1279. (1996)

Entropy values of chains of partitions of infinite countable sets
Martínez S; San Martín J; Rocky Mountain J. Math. 26, no. 1, pp. 213-227. (1996)

Erratum: The one-site distributions of Gibbs states on Bethe lattice are probability vectors of period 2 for a nonlinear transformation [J. Statist. Phys. 52 (1988), no. 1-2, 267 - 285;
Goles E; Martínez S; J. Statist. Phys. 82, no. 1-2, pp. 451. (1996)

Entropy pairs for a measure
Blanchard F; Host B; Maass A; Martínez S; Rudolph D; J. Ergodic Theory Dynam. Systems 15, no. 4, pp. 621-632. (1995)

Asymptotic laws for one-dimensional diffusions conditioned to nonabsorption
Collet P; Martínez S; San Martín J; Ann. Probab. 3, no. 3, pp. 1300-1314. (1995)

Existence of quasi-stationary distributions. A renewal dynamical approach
Ferrari PA; Kesten H; Martínez S; Picco P; Ann. Probab. 23, no. 2, pp. 501-521. (1995)

A Markov chain associated with the minimal quasi-stationary distribution of birth-death chains
Martínez S; Vares ME; J. Appl. Probab. 32, no. 1, pp. 25-38. (1995)

Quasi-stationary distributions for a Brownian motion with drift and associated limit laws
Martínez S; San Martín J; J. Appl. Probab. 31, no. 4, pp. 911-920. (1994)

The Yorke-Pianigiani measure and the asymptotic law on the limit Cantor set of expanding systems
Collet P; Martínez S; Schmitt B; Nonlinearity 7, no. 5, pp. 1437-1443. (1994)

Quasi-stationary distributions: continued fraction and chain sequence criteria for recurrence. Fifth Latin American Congress of Probability and Mathematical Statistics (Portuguese) (São Paulo, 1993)
Ferrari PA; Martínez S; Resenhas 1, no. 2-3, pp. 321-333. (1994)

Cellular automata, dynamical systems and neural networks. Mathematics and its Applications, 282.
Goles E; Martínez S; (eds.). Kluwer Academic Publishers Group, Dordrecht, 1994.

Inverse of strictly ultrametric matrices are of Stieltjes type
Martínez S; Michon G; San Martín J; SIAM J. Matrix Anal. Appl. 15, no. 1, pp. 98-106. (1994)

Quasi-stationary distributions for birth-death chains. Convergence radii and Yaglom limit Cellular automata and cooperative systems (Les Houches, 1992), 491 - 505
Martínez S; NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 396, Kluwer Acad. Publ., Dordrecht, 1993.

Cellular automata and cooperative systems. NATO Advanced Science Institutes Series C: Mathematical and Physical Sciences, 396
Boccara N; Goles E; Martínez S; Picco P; (eds.) Kluwer Academic Publishers Group, Dordrecht, 1993.

On the limit set of some universal cellular automata
Goles E; Maass A; Martínez S; Comput. Sci. 110, no. 1, pp. 53-78. (1993)

Polar decomposition and dense similarity to unitary operators. Instabilities and nonequilibrium structures, IV (Valparaíso, 1991), 101 - 107
Bertoglio N; Martínez S; San Martín J; Math. Appl., 267, Kluwer Acad. Publ., Dordrecht, 1993.

Errata: Lyapunov functionals for automata networks defined by cyclically monotone functions [SIAM J. Discrete Math. 4 (1991), no. 2, 200 - 206
Goles E; Martínez S; SIAM J. Discrete Math. 6, no. 4, pp. 677. (1993)

Existence of nontrivial quasi-stationary distributions in the birth-death chain
Ferrari PA; Martínez S; Picco P; Adv. in Appl. Probab. 24, no. 4, pp. 795-813. (1992)

Automata networks and optimization
Goles E; Martínez S; Inform. Process. Lett. 42, no. 6, pp. 339-343. (1992)

A lower bound for the memory capacity in the Potts-Hopfield model
Ferrari PA; Martínez S; Picco P; J. Statist. Phys. 66, no. 5-6, pp. 1643-1652. (1992)

Statistical physics, automata networks and dynamical systems. Mathematics and its Applications, 75
Goles E; Martínez S; (eds.) Kluwer Academic Publishers Group, Dordrecht, 1992.

Automata networks strategies for optimization problems. Statistical physics, automata networks and dynamical systems (Santiago, 1990), 65-87
Goles E; Martínez S; Math. Appl., 75, Kluwer Acad. Publ., Dordrecht, 1992.

A regularisation result of the continuous PMC Markov semigroups
Bertoglio N; Dartnell P; Martínez S; San Martín J; Stochastic Anal. Appl. 9, no. 4, pp. 387-399. (1991)

Simple nests invariant by compact selfadjoint operators: a nonstandard approach
Bertoglio N; Martínez S; J. Math. Anal. Appl. 162, no. 2, pp. 404-409. (1991)

Finite coarse-graining and Chapman-Kolmogorov equation in conservative dynamical systems
Nicolis G; Martínez S; Tirapegui E; Chaos Solitons Fractals 1, no. 1, pp. 25-37. (1991)

On a test for generalized upper truncated Weibull distributions
Martínez S; Quintana F; Statist. Probab. Lett. 12, no. 4, pp. 273-279. (1991)

Some properties of quasi-stationary distributions in the birth and death chains: a dynamical approach
Ferrari PA; Martínez S; Picco P; Instabilities and nonequilibrium structures, III (Valparaíso, 1989), pp. 177-187, Math. Appl., 64, Kluwer Acad. Publ., Dordrecht, 1991.

Measure preserving Markov processes densely similar to endomorphisms
Bertoglio N; Martínez S; Phys. A 170, no. 2, pp. 439-446. (1991)

Lyapunov functionals for automata networks defined by cyclically monotone functions
Goles E; Martínez S; SIAM J. Discrete Math. 4, no. 2, pp. 200-206. (1991)

Neural and automata networks. Dynamical behavior and applications. Mathematics and its Applications, 58
Goles E; Martínez S; Kluwer Academic Publishers Group, Dordrecht, 1990.

Energy functions in neural networks with continuous local functions
Fogelman-Soulié F; Mejia C; Goles E; Martínez S; Complex Systems 3, no. 3, pp. 269-293. (1989)

A Lyapunov functional approach to the evolution of linear symmetric automata networks
Martínez S; Disordered systems and biological models (Bogotá, 1987), 22-37, CIF Ser., 14, World Sci. Publishing, Teaneck, NJ, 1989.

Exponential transient classes of symmetric neural networks for synchronous and sequential updating
Goles E; Martínez S; Complex Systems 3, no. 6, pp. 589-597. (1989)

Cylinder distribution of thermodynamic limit on Bethe lattices
Martínez S; Instabilities and nonequilibrium structures, II (Valparaíso, 1987), 117-130, Math. Appl., 50, Kluwer Acad. Publ., Dordrecht, 1989.

Fluctuations in Derrida s random energy and generalized random energy models
Galves A; Martínez S; Picco P; J. Statist. Phys. 54, no. 1-2, pp. 515-529. (1989)

The one-site distributions of Gibbs states on Bethe lattice are probability vectors of period 2 for a nonlinear transformation
Goles E; Martínez S; J. Statist. Phys. 52, no. 1-2, pp. 267-285. (1988)

Matrices supermétriques
Dartnell P; Martínez S; San Martín J; Rev. Mat. Apl. 9, no. 2, pp. 42-52. (1988)

Opérateurs filtrés et chaînes de tribus invariantes sur un espace probabilisé dénombrable. Séminaire de Probabilités, XXII, 197 - 213
Dartnell P; Martínez S; San Martín J; Lecture Notes in Math., 1321, Springer, Berlin, 1988.

The role of stable manifolds and information in the Prigogine theory of irreversibility
Martínez S; Tirapegui E; J. Statist. Phys. 48, no. 5-6, pp. 1283-1294. (1987)

Properties of positive functions and the dynamics of associated automata networks
Goles E; Martínez S; Discrete Appl. Math. 18, no. 1, pp. 39-46. (1987)

The PMC processes associated to the ½,½-Bernoulli shift are also Bernoulli
Martínez S; J. Statist. Phys. 47, no. 3-4, pp. 527-541. (1987)

Points d orbite dense de certains langages de mots infinis
Blanchard F; Martínez S; Theoret. Comput. Sci. 44, no. 1, pp. 107-110. (1986)

A Relating topological entropy to finite dynamical systems. Analysis, geometry, and probability (Valparaíso, 1981), 221 - 225
Martínez S; Lecture Notes in Pure and Appl. Math., 96, Dekker, New York. (1985)

A possible physical interpretation of the operator in the Prigogine theory of irreversibility
Martínez S; Tirapegui E; Phys. Lett. A 110, no. 2, pp. 81-83. (1985)

A Nonequilibrium entropy on stationary Markov processes
Martínez S. Acta Appl. Math. 3, no. 3, pp. 221-238. (1985)

Description of a class of Markov processes equivalent to K-shifts
Martínez S; Tirapegui E; J. Statist. Phys. 37, no. 1-2, pp. 173-186. (1984)

A Hyperbolic dynamical systems with isolated points. Geometric dynamics (Rio de Janeiro, 1981), 578 - 583
Martínez S. Lecture Notes in Math., 1007, Springer, Berlin, 1983.

Entropy functionals associated to shifts dynamical systems
Martínez S; Tirapegui E; Phys. A 122, no. 3, pp. 593-601. (1983)

Markov process and entropy associated to a reversible evolution
Martínez S; Tirapegui E; Phys. Lett. A 95, no. 3-4, pp. 143-145. (1983)

Maximal entropy measures in topologically transitive and hyperbolic dynamical systems
Martínez S; Math. Notae 29, pp 37, 46. (1981/82)