Some geometric and dynamical properties of hyperbolic magnetic flows

Abstract: As a generalization of geodesic flows, magnetic flows trace unit-speed curves with constant geodesic curvature. We consider the magnetic flows of surfaces with negative Gaussian curvature that are non-uniformly hyperbolic. By studying its geometry on the universal covering of the surface, we show the uniqueness of the measure of maximal entropy via the Bowen-Climenhaga-Thompson machinery. This is a joint work with Boris Hasselblatt.

dynamical systemsnumber theory

Audience: general audience

New England Dynamics and Number Theory Seminar