ICTP Math Lecture Series on Dynamics of the Geodesic Flow on Surfaces Without Conjugate Points - Lecture 2
Starts 3 Dec 2020 16:00
Ends 3 Dec 2020 17:00
Central European Time
Zoom event
Lecture 2: Measure of maximal entropy via Patterson-Sullivan measures
Abstract: : This lecture focuses more on the dynamical aspect of the geodesic flow. We will define the measure of maximal entropy and give its construction via the Patterson-Sullivan measures on the ideal boundary.
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This lecture is to be considered as part of the ICTP Math Associates Seminars Series, being targeted to a general audience.
References:
[1] V. Climenhaga, G. Knieper, K. War, Uniqueness of the measure of maximal entropy for geodesic flow on certain manifolds without conjugate points. Accepted for publication in Advances in Mathematics.
[2] V. Climenhaga, G. Knieper, K. War, Closed geodesic on surfaces without conjugate points. Preprint.
[3] G. Knieper, Differentialgeometrie, Lecture notes.