@inbook{bibcite_15856, author = {Dawid Czapla and Katarzyna Horbacz and Hanna Wojew{\'o}dka-{\'S}ci{\k a}{\.z}ko}, title = {A criterion on the exponential ergodicity in the Bounded-Lipschitz distance for some piecewise-deterministic Markov processes with random switching}, abstract = {

We are concerned with a subclass of piecewise-deterministic Markov processes (PDMPs) that evolve on a Polish space through random jumps at exponentially distributed time intervals, while the behaviour between jumps is governed by a finite collection of flows, selected randomly at the jump times. The main goal of this paper is to provide a set of conditions sufficient for the exponential ergodicity of the corresponding transition semigroup in terms of the bounded Lipschitz distance.

}, year = {2023}, journal = {International Conference of Numerical Analysis and Applied Mathematics ICNAAM 2021}, volume = {2849}, number = {450015}, publisher = {AIP Publishing}, address = {Melville, New York}, isbn = {978-0-7354-4182-8}, url = {https://doi.org/10.1063/5.0163391}, doi = {10.1063/5.0163391}, language = {eng}, }