@article{bibcite_15774, author = {Dawid Czapla and Katarzyna Horbacz and Hanna Wojew{\'o}dka-{\'S}ci{\k a}{\.z}ko}, title = {The central limit theorem for Markov processes that are exponentially ergodic in the bounded-Lipschitz norm}, abstract = {
In this paper, we establish a version of the central limit theorem for Markov{\textendash}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{\textendash}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\ Poisson process.
}, year = {2024}, journal = { Qualitative Theory of Dynamical Systems}, volume = {23}, month = {09/2023}, url = {https://doi.org/10.1007/s12346-023-00862-4}, doi = {10.1007/s12346-023-00862-4}, language = {eng}, }