[Todos CMAT] Seminario Sistemas Dinámicos

Matias Carrasco matiascapi en gmail.com
Mie Sep 16 22:18:57 UYT 2015


Estimados,

este viernes 18/9 a las 14:30 en el salón de seminarios del IMERL tenemos el placer de recibir a Daniel Coronel (Universidad Andrés Bello, Chile).

Abajo título y resumen.

Title: Sensitive dependence of Gibbs measures at low temperature

Abstract: The Gibbs measures of an interaction can behave chaotically as the temperature drops to zero. This was first observed in some XY models in statistical mechanics, and then, in some symbolic systems. In this talk we discuss a related phenomenon that we have observed in some quasi-quadratic families. More precisely, there are parameters exhibiting a sensitive dependence of equilibrium states for the geometric potential, that is, an arbitrarily small perturbation on the parameter can produce significant changes in the low-temperature behavior of its equilibrium states. We show that sensitive dependence is also present in some XY models and in some symbolic systems.

Joint work with Juan Rivera-Letelier.

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