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Language
en
Document de travail - Pré-publication
English Abstract
In this work, we give sharp asymptotic equivalents in the small temperature regime of the smallest eigenvalues of the generator of some piecewise deterministic Markov processes (including the ZigZag process and the Bouncy ...Read more >
In this work, we give sharp asymptotic equivalents in the small temperature regime of the smallest eigenvalues of the generator of some piecewise deterministic Markov processes (including the ZigZag process and the Bouncy Particle Sampler process) with refreshment rate α on the one-dimensional torus T. These asymptotic equivalents are usually called Eyring-Kramers type formulas in the literature. The case when the refreshment rate α vanishes on T is also considered.Read less <
English Keywords
Piecewise Deterministic Markov Processes
small temperature regime
Eyring-Kramers formulas
metastability
spectral theory
semiclassical analysis
Origin
Hal imported