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.
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.