[en] A criteria for the algebraic convergence rate of diffusion semigroups on manifolds with respect to some Lipschitz norms in L2-sense is presented by using a Lyapunov condition. As application, we apply it to some diffusion processes with heavy tailed invariant distributions. This result is further extended to the reflecting diffusion processes on manifolds with non-convex boundary by using a conformal change of the metric.
Disciplines :
Mathematics
Author, co-author :
CHENG, Li Juan ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Wang, Yingzhe
External co-authors :
yes
Language :
English
Title :
Algebraic Convergence Rate for Reflecting Diffusion Processes on Manifolds with Boundary