Scientific Calendar Event



Starts 8 Dec 2020 16:00
Ends 8 Dec 2020 17:00
Central European Time
Zoom event
Lecture 3: Some statistical properties of the geodesic flow

Abstract: : In this lecture we will prove that the measure of maximal entropy constructed above is unique and therefore ergodic. We will also prove that the geodesic flow is mixing with respect to the measure of maximal entropy.


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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.