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  4. On invariant distributions of Feller Markov chains with applications to dynamical systems with random switching
 
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On invariant distributions of Feller Markov chains with applications to dynamical systems with random switching

Auteur(s)
Benaim, Michel 
Institut de mathématiques 
Oliver Tough
Date de parution
2023-10-26T16:39:02Z
Mots-clés
  • math.PR
  • 60, 37
  • math.PR

  • 60, 37

Résumé
We introduce simple conditions ensuring that invariant distributions of a Feller Markov chain on a compact Riemannian manifold are absolutely continuous with a lower semi-continuous, continuous or smooth density with respect to the Riemannian measure. This is applied to Markov chains obtained by random composition of maps and to piecewise deterministic Markov processes obtained by random switching between flows.
Identifiants
https://libra.unine.ch/handle/123456789/32591
_
2310.17543v2
Type de publication
preprint
Dossier(s) à télécharger
 main article: Invariantdensities261023.pdf (366.54 KB)
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