Date: Wednesday, September 27, 2017
Location: 3866 East Hall (4:00 PM to 5:30 PM)
Title: Lyapunov Exponents in Hilbert Geometry
Abstract: Any bounded convex domain in projective space admits a Finsler metric preserved by projective transformations called the Hilbert metric. This metric is Riemannian only when the domain is the ellipsoid, in which case one recovers the BeltramiKlein model of hyperbolic space. We are interested in the Hilbert geodesic flow of compact quotients of these domains by discrete, torsion free groups of projective transformations. In the talk we discuss a result of Mickael Crampon which describes the Lyapunov exponents of this geodesic flow in terms of the Holder regularity of the boundary of the domain.
Files:
Speaker: Harry Bray
Institution: U Michigan
Event Organizer: van Limbeek
