Séminaire Géométrie Topologie Dynamique
Measures of maximal entropy for the geodesic flows of surfaces with caps
June 2022
Intervenant : Todd Fisher
Institution : Brigham Young University
Heure : 14h00 - 15h00
Lieu : 2L8

We prove that the geodesic flow on a compact surface with negative curvature in the complement of a disjoint union of caps has a unique measure of maximal entropy. We will discuss the class of surfaces we are interested in, the geometry of caps, and how geodesics behave when entering and exiting a cap.  We will then outline the proof of the main result.  This is joint work with Keith Burns and Rachel McEnroe.

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