01031nas a2200157   4500000000100000008004100001260003900042100001700081700002200098700003200120245015200152856003800304490000900342520050000351020002200851       2023                            d  bAIP PublishingaMelville, New York1 aDawid Czapla1 aKatarzyna Horbacz1 aHanna Wojewódka-Ściążko00aA criterion on the exponential ergodicity in the Bounded-Lipschitz distance for some piecewise-deterministic Markov processes with random switching  uhttps://doi.org/10.1063/5.01633910 v28493 a<p>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.</p>
  a978-0-7354-4182-8