Weak Poincaré Inequalities for Convergence Rate of Degenerate Diffusion Processes

Abstract

For a contraction $C_0$-semigroup on a separable Hilbert space, the decay rate is estimated by using the weak Poincaré inequalities for the symmetric and anti-symmetric part of the generator. As applications, non-exponential convergence rate is characterized for a class of degenerate diffusion processes, so that the study of hypocoercivity is extended. Concrete examples are presented.

References in corpus (1)

• Subgeometric rates of convergence for Markov processes under subordination

Cited by in corpus (1)

• Ergodicity for Neutral Type SDEs with Infinite Length of Memory