Thermodynamics of the Katok map

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Date(s) - 03/05/2016
11 h 00 min - 12 h 00 min


I will discuss existence, uniqueness and ergodic properties (including decay of correlations and the Central Limit Theorem) of equilibrium measures for the geometric potential for the Katok map, which is the first known example of a diffeomorphism with nonzero Lyapunov exponents. This is one of very few examples of nonuniformly hyperbolic systems in dimension greater than one for which such a description has recently been obtained.

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