Title:
Multifractal analysis of growth rates for the geodesic flow on hyperbolic surfaces

Abstract:
We use multifractal analysis to investigate the long-term behavior of growth rates associated with the geodesic flow on surfaces of constant negative curvature. The growth rates we consider are given by the number of windings around cusps, the number of crossings of sides of a fundamental domain, and the distance travelled on the surface. This talk is based on joint work with Hiroki Takahasi (Keio University) and Manuel Stadlbauer (Universidade Federal do Rio de Janeiro).