General framework Analysis of the spectrum

General framework Analysis of the spectrum Convergence to stationary measure Sketches of proof Semiclassical analysis of a random walk on a manifold L. Michel (joint work with G. Lebeau) Laboratoire J.-A. Dieudonne Universite de Nice April 14, 2008 L. Michel (joint work with G. Lebeau) Semiclassical analysis of a random walk on a manifold

• ?2 ≤


• natural random


• basic properties


• reference operator


• associated normalized


• laplace-beltrami operator


• operator ?∆g