Séminaire Géométrie Topologie Dynamique
Measures of maximal entropy for the geodesic flows of surfaces with caps
23
juin 2022
juin 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.