Geometry, Topology and Dynamics Seminar
Seon Hee Lim
Seoul National University, MSRI
Martin boundary and measures minimizing energy in negative curvature
Abstract: Let $\widetilde{M}$ be the universal cover of a compact negatively-curved Riemannian manifold. We show that the geometric boundary and the Martin boundary coincide.
The conformal family of measures on the boundary associated to Martin boundary minimizes the energy or the Rayleigh quotient of Mohsen. We also obtain a local limit theorem, i.e. an asymptotic behavior of the heat kernel for the Laplacian on $\widetilde{M}$.
Notice special Day and Time.
Thursday April 23, 2015 at 3:00 PM in SEO 512