most citedOn invariant distributions of Feller Markov chains with applications to dynamical systems with random switching

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math.PR2023★ 3 cited

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

Michel Benaïm, Oliver Tough

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-continuou…

math.PR2022

Regularity of the stationary density for systems with fast random switching

Michel Benaïm, Oliver Tough

We consider the piecewise-deterministic Markov process obtained by randomly switching between the flows generated by a finite set of smooth vector fields on a compact set. We obtai…