@inbook{bibcite_15758, author = {Dawid Czapla and Katarzyna Horbacz and Hanna Wojew{\'o}dka-{\'S}ci{\k a}{\.z}ko}, title = {A note on absolute continuity of stationary distributions of some piecewise-deterministic Markov process}, abstract = {

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.

}, year = {2022}, journal = {International Conference of Numerical Analysis and Applied Mathematics 2020 (ICNAAM 2020)}, volume = {2425}, number = {420015}, publisher = {AIP Publishing}, address = {Melville, New York}, isbn = {978-0-7354-4182-8}, doi = {10.1063/5.0081329}, language = {eng}, }