00984nas a2200157   4500000000100000000000100001008004100002260001200043100001700055700002200072700003200094245011200126856004700238490000700285520053400292       2024                            d  c09/20231 aDawid Czapla1 aKatarzyna Horbacz1 aHanna Wojewódka-Ściążko00aThe central limit theorem for Markov processes that are exponentially ergodic in the bounded-Lipschitz norm  uhttps://doi.org/10.1007/s12346-023-00862-40 v233 a<p>In this paper, we establish a version of the central limit theorem for Markov–Feller continuous time processes (with a Polish state space) that are exponentially ergodic in the bounded-Lipschitz distance and enjoy a continuous form of the Foster–Lyapunov condition. As an example, we verify the assumptions of our main result for a specific piecewise-deterministic Markov process, whose deterministic component evolves according to continuous semiflows, switched randomly at the jump times of a&nbsp;Poisson process.</p>