Low lying eigenvalues and convergence to the equilibrium of some Piecewise Deterministic Markov Processes generators in the small temperature regime - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2021

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

Résumé

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.
Fichier principal
Vignette du fichier
petite_vp_pdmp_4.pdf (427.87 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-02436593 , version 1 (13-01-2020)
hal-02436593 , version 2 (13-11-2021)
hal-02436593 , version 3 (22-01-2022)

Identifiants

  • HAL Id : hal-02436593 , version 2

Citer

Arnaud Guillin, Boris Nectoux. Low lying eigenvalues and convergence to the equilibrium of some Piecewise Deterministic Markov Processes generators in the small temperature regime. 2021. ⟨hal-02436593v2⟩
271 Consultations
267 Téléchargements

Partager

Gmail Facebook X LinkedIn More