Statistical laws for geodesic flows on certain non-positively curved surfaces

Carlos Matheus (Centre national de la recherche scientifique)

Thursday 3rd November, 2022 16:00-17:00 Maths 311B


The features of geodesic flows are often of great interest in many areas of Mathematics: for instance, Selberg trace formula and Ratner's formula provide concrete links between the spectrum of the Laplacian of a hyperbolic surface and the periodic orbits and the speed of mixing of its geodesic flow. In this talk, we consider the statistical features of geodesic flows on non-positively curved surfaces whose zero curvature regions are reduced to a finite collection of cylinders. This is based on a joint work in progress with Y. Lima and I. Melbourne.

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