Lyapunov exponents in Hilbert geometry

Details Lyapunov exponents in Hilbert geometry Lyapunov exponents in Hilbert geometry

2011-05-31

arxiv.org/abs/1105.6275v1

Mathematics

Dynamical Systems

34 pages, comments are welcome

Scientific paper

We study the behaviour of a Hilbert geometry when going to infinity along a geodesic line. We prove that all the information is contained in the shape of the boundary at the endpoint of this geodesic line and have to introduce a regularity property of convex functions to make this link precise. The point of view is a dynamical one and the main interest of this article is in Lyapunov exponents of the geodesic flow.

Affiliated with

Also associated with

No associations

Rating

Lyapunov exponents in Hilbert geometry does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Lyapunov exponents in Hilbert geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lyapunov exponents in Hilbert geometry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-338278