00971nas a2200145   4500000000100000008004100001260001200042100001700054700002200071700003200093245011200125856004700237490000700284520053400291       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>