Entropies for Covers of Compact Manifolds
Presenter
September 22, 2011
Keywords:
- quantitative geometry
- entropy formulas
- Riemannian geometry
- random walks on Riemannian manifolds
- asymptotic geometry
- probability theory
- ergodic theory
MSC:
- 60G15
- 60Gxx
- 60-xx
- 60G50
- 28D20
- 28Dxx
Abstract
We consider a regular Riemannian cover M of a compact Riemannian manifold. The linear drift, ell, and the Kaimanovich entropy, h, are geometric invariants defined by asymptotic properties of the Brownian motion on M. We show that ell^2