Starts 30 Jun 2020 16:00
Ends 30 Jun 2020 17:00
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Ergodic and thermodynamic properties of pseudo-Anosov diffeomorphisms
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Abstract: We discuss the thermodynamic and ergodic properties of a smooth realization of pseudo-Anosov surface homeomorphisms. In this realization, pseudo-Anosov map is uniformly hyperbolic outside of a neighborhood of a set of singularities, and the trajectories are slowed down so the differential is the identity at the singularities. Using Young towers, we prove existence and uniqueness of equilibrium measures for geometric $t$-potentials. This family of equilibrium measures includes a unique smooth SRB measure and a measure of maximal entropy, the latter of which has exponential decay of correlations and the Central Limit Theorem.
https://zoom.us/meeting/register/tJYkcu6rqz4tHtQO-cRBsFcrqad-WevSbC69
After registration, you will receive a confirmation email containing information about joining the meeting
Abstract: We discuss the thermodynamic and ergodic properties of a smooth realization of pseudo-Anosov surface homeomorphisms. In this realization, pseudo-Anosov map is uniformly hyperbolic outside of a neighborhood of a set of singularities, and the trajectories are slowed down so the differential is the identity at the singularities. Using Young towers, we prove existence and uniqueness of equilibrium measures for geometric $t$-potentials. This family of equilibrium measures includes a unique smooth SRB measure and a measure of maximal entropy, the latter of which has exponential decay of correlations and the Central Limit Theorem.