Servet Martínez

Servet Martínez
U. de Chile Researchers
Doctor 3er Ciclo Probal, Université Pierre-et-Marie-Curie, France (1979)
Master in Mathematical Statistics, Cienes, Chile (1976)
Civil Engineering in Mathematics, Universidad de Chile (1975)
Institution: Universidad de Chile
Academic hierarchy: Profesor Titular
Research Area:
Stochastic Processes, Ergodic Theory and Stochastic Modeling
Works at:
CMM Bio • Mathomics
Research interests:
My research focuses on Markov chains, discrete potential theory, dynamical systems and stochastic modeling. In the last twenty years I have worked on killed processes and quasi-stationary distributions (q.s.d.), in particular we have supply the best result up to now on the existence of q.s.d. for countable infinite Markov chains, we have classified completely the killed diffusions and killed birth and death chains, we have interpreted the Gibbs state of dynamical systems via q.s.d.

On discrete potential theory we have introduced the ultrametric matrices showing that they are potential matrices and extend it to a infinite matrices and to a continuous framework. For algebraic cellular automata and symbolic dynamics we have studied the convergence to equilibrium and the rigidity of its invariant distributions.
In stochastic modeling we have studied the oresize distribution of rocks resulting from mining processes and using fragmentation theory to study the fragmentation energy involved in these processes (Bertoin, Devoto).
smartine (at) dim (dot) uchile (dot) cl
+56 2 2978 4453
office: 716
Manuel Montt Award for his book "Neural and Automata Networks" (with Eric Goles) - 1990
Premio Nacional de Ciencias Exactas (with Eric Goles) - 1993
Fellow, Academia Chilena de Ciencias - 1996
Cátedra Presidencial en Ciencias - 1997
Medalla Rectoral Andrés Bello, Universidad de Chile - 1998
TWAS Award Winner - Mathematics, Third World Academy of Sciences (TWAS) - 1999