Weak Poincaré Inequalities for Convergence Rate of Degenerate Diffusion Processes

2017/03/14 by Grothaus, Martin, Wang, Feng-Yu
#37A25 #47D07 #60H10 #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1703.04821

Abstract

For a contraction C₀-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.

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