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Low lying eigenvalues and convergence to the equilibrium of some Piecewise Deterministic Markov Processes generators in the small temperature regime

Abstract : In this work we study the number of small eigenvalues and the convergence to the equilibrium of the Bouncy Particle Sampler process and the Zig-Zag process generators in the small temperature regime. Such processes, which fall in the class of Piecewise Deterministic Markov Processes, are non diffusive and non reversible.
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https://hal.archives-ouvertes.fr/hal-02436593
Contributor : Boris Nectoux Connect in order to contact the contributor
Submitted on : Saturday, January 22, 2022 - 10:24:41 PM
Last modification on : Tuesday, January 25, 2022 - 3:51:25 AM

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petite_vp_pdmp_4.pdf
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  • HAL Id : hal-02436593, version 3

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Arnaud Guillin, Boris Nectoux. Low lying eigenvalues and convergence to the equilibrium of some Piecewise Deterministic Markov Processes generators in the small temperature regime. 2022. ⟨hal-02436593v3⟩

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