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Workshop 1

Large deviations and thermodynamical formalism


(i) School (March 11 to March 15, 2013)

lecturers: J. Buzzi (Universite de Paris-Sud, Orsay), Y. Kifer (Hebrew University of Jerusalem), O. Sarig (Weizmann Institute)

This will consist of a series of intensive mini-courses for post-graduate and post-doctoral students.
Requests for financial support should be addressed to the organizers.


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.

Slides for lecture 1
Slides for lecture 2
Slides for lecture 3


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.



(ii) Workshop (March 18 to March 22, 2013)

organizers: J. Buzzi, S. Luzzatto, O. Sarig and Ya. Pesin

Participants include: J.Alves, H. Bruin, J.Buzzi, J-R. Chazottes, C. Liverani, B. Hasselblatt, G. Iommi, T. Jordan, Y.Kifer,
R. Leplaideur, J-R. Letelier, S.Luzzatto, I. Melbourne, K. Oliveira, I. Rios, J. Schmeling, D. Schnellman, S. Senti, B. Shapira, R. Sharp, D. Szasz, M. Todd, S. Vaienti, P. Varandas, M. Zinsmeister, R.Zweimuller

This will consist of a series of intensive mini-courses for post-graduate and post-doctoral students.
Prospective participants are requested to register here. Requests for financial support should be addressed to the organizers.

The schedule for the workshop can be found here