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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.
Cited literature [37 references]
https://hal.archives-ouvertes.fr/hal-02436593
Contributor : Boris Nectoux <>
Submitted on : Monday, January 13, 2020 - 11:09:00 AM
Last modification on : Thursday, February 25, 2021 - 10:34:03 AM
Long-term archiving on: : Tuesday, April 14, 2020 - 2:11:43 PM
Contributor : Boris Nectoux <>
Submitted on : Monday, January 13, 2020 - 11:09:00 AM
Last modification on : Thursday, February 25, 2021 - 10:34:03 AM
Long-term archiving on: : Tuesday, April 14, 2020 - 2:11:43 PM
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