Rodrigo Bissacot (University of São Paulo, Brazil)

Chaos and Large Deviations at Zero Temperature on Finite and Countable Markov Shifts

We discuss the existence of a large deviation principle for a family of equilibrium measures \mu_{\beta} when the temperature goes to zero on countable Markov shifts. The proof works in the setting where the equilibrium measures have the Gibbs property. For shift with a finite number of symbols, we obtain a characterization of the potentials inside a class of potentials "double well type" which present chaotic behavior at zero temperature.

date: 12 July 2016

time: 15:00

room: 5161.0293 (Bernoulliborg)