Large deviations and thermodynamical formalism - mini courses  11 - 15 March 2013

Organisers

Jérôme Buzzi, Université Paris-Sud

Yuri Kifer, The Hebrew University

Omri Sarig, Weizmann Institute for Science


Speakers and abstracts


Y. Kifer (Hebrew University of Jerusalem)
Large Deviations in Probability and Dynamical Systems

Abstract. I will start with some general large deviations theorems which have direct applications both for Markov processes and (uniformly) hyperbolic dynamical systems. A relation between large deviations, thermodynamic formalism and fractal dimensions will be indicated. Then I will proceed to large deviations in the averaging setup. Finally, I will discuss more recent results concerning large deviations for some nonuniformly hyperbolic dynamical systems and large deviations in a nonconventional setup.




J.Buzzi (Orsay)
Entropy and measurable classifications of dynamical systems


Abstract: Ornstein theory of Bernoulli processes shows that many probabilistic dynamical systems are classified by their entropy and period up to measure-preserving conjugacy. We will explain how this extends to measurable conjugacies, preserving all or "most" invariant measures, in smooth and symbolic settings, and the role played by measures of maximal entropy




O. Sarig (Weizmann Institute)
Thermodynamic formalism for countable Markov shifts


Abstract: I will survey the theory of thermodynamic formalism for countable Markov shifts. Time allowing, topics will include the variational principle, the Ruelle operator, equilibrium measures, and phase transitions.


Name University Dates of visit
Jérôme Buzzi Université Paris-Sud 11/03/2013 - 15/03/2013
Yuri Kifer The Hebrew University 11/03/2013 - 15/03/2013
Omri Sarig Weizmann Institute for Science 11/03/2013 - 15/03/2013
Total Guests : 3
Name University Dates of visit
Total Guests : 0