00954nas a2200169 4500000000100000000000100001000000100002008004100003260003900044100001700083700002200100700003200122245010900154490000900263520049000272020002200762 2022 d bAIP PublishingaMelville, New York1 aDawid Czapla1 aKatarzyna Horbacz1 aHanna Wojewódka-Ściążko00aA note on absolute continuity of stationary distributions of some piecewise-deterministic Markov process0 v24253 a

A piecewise deterministic Markov process with random switching between flows, occuring e.g. in certain stochastic models for gene expression, is considered in this article. The main goal is to provide a set of reasonable conditions under which any stationary distribution of the process that corresponds to an ergodic stationary distribution of the discrete-time Markov chain given by the post-jump locations of this process has a density with respect to the Lebesgue measure.

 a978-0-7354-4182-8