00928nas a2200145 4500000000100000008004100001260003900042100001700081700002200098700003200120245010900152490000900261520049000270020002200760 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