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Ergodic Theory / Probability Seminar - Alena Erchenko

Alena Erchenko
March 21, 2019
3:00PM - 4:00PM
Math Tower 154

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Add to Calendar 2019-03-21 15:00:00 2019-03-21 16:00:00 Ergodic Theory / Probability Seminar - Alena Erchenko Title: Flexibility of Lyapunov exponents on the torus Speaker: Alena Erchenko (Ohio State University) Abstract: There are several interesting classes of measures. We will concentrate on the invariant measure that is absolutely continuous with respect to the Lebesgue measure and the measure of maximal entropy. We show that positive Lyapunov exponents with respect to these two probability measures for Anosov area-preserving diffeomorphisms on a two-torus that are homotopic to a fixed area-preserving Anosov automorphism take on all values that satisfy some well-known inequalities (work in progress). Math Tower 154 Department of Mathematics math@osu.edu America/New_York public

Title: Flexibility of Lyapunov exponents on the torus

SpeakerAlena Erchenko (Ohio State University)

Abstract: There are several interesting classes of measures. We will concentrate on the invariant measure that is absolutely continuous with respect to the Lebesgue measure and the measure of maximal entropy. We show that positive Lyapunov exponents with respect to these two probability measures for Anosov area-preserving diffeomorphisms on a two-torus that are homotopic to a fixed area-preserving Anosov automorphism take on all values that satisfy some well-known inequalities (work in progress).

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