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.
BT - International Conference of Numerical Analysis and Applied Mathematics ICNAAM 2021 CY - Melville, New York DO - 10.1063/5.0163391 LA - eng M1 - 450015 N2 -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.
PB - AIP Publishing PP - Melville, New York PY - 2023 SN - 978-0-7354-4182-8 T2 - International Conference of Numerical Analysis and Applied Mathematics ICNAAM 2021 TI - A criterion on the exponential ergodicity in the Bounded-Lipschitz distance for some piecewise-deterministic Markov processes with random switching UR - https://doi.org/10.1063/5.0163391 VL - 2849 ER -