On invariant distributions of Feller Markov chains with applications to dynamical systems with random switching
Abstract 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 obtain...
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Published in | Probability theory and related fields |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
12.08.2024
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Online Access | Get full text |
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Summary: | Abstract 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. |
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ISSN: | 0178-8051 1432-2064 |
DOI: | 10.1007/s00440-024-01307-y |