Uniqueness of the measure of maximal entropy for geodesic flows on surfaces with caps

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burns
October 19, 2021
3:00PM - 4:00PM
Location
MW 724

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Add to Calendar 2021-10-19 15:00:00 2021-10-19 16:00:00 Uniqueness of the measure of maximal entropy for geodesic flows on surfaces with caps Title:  Uniqueness of the measure of maximal entropy for geodesic flows on surfaces with caps Speaker:  Keith Burns (Northwestern) Abstract:  The class of surfaces in this talk was introduced in the 1980s by Donnay in order to exhibit a smooth Riemannian metric on the two sphere with ergodic geodesic flow. The geodesic flows for these surfaces have unique (and therefore ergodic) measures of maximal entropy. The proof uses Climenhaga and Thompson's extension of the approach pioneered by Bowen and Franco. This is joint work with Todd Fisher and Rachel McEnroe. MW 724 Department of Mathematics math@osu.edu America/New_York public
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Title:  Uniqueness of the measure of maximal entropy for geodesic flows on surfaces with caps

Speaker:  Keith Burns (Northwestern)

Abstract:  The class of surfaces in this talk was introduced in the 1980s by Donnay in order to exhibit a smooth Riemannian metric on the two sphere with ergodic geodesic flow. The geodesic flows for these surfaces have unique (and therefore ergodic) measures of maximal entropy. The proof uses Climenhaga and Thompson's extension of the approach pioneered by Bowen and Franco. This is joint work with Todd Fisher and Rachel McEnroe.

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