00790nas a2200133   4500000000100000008004100001260001200042100001700054700002200071700003200093245008700125490000800212520043600220       2020                            d  c04/20201 aDawid Czapla1 aKatarzyna Horbacz1 aHanna Wojewódka-Ściążko00aA useful version of the central limit theorem for a general class of Markov chains0 v4843 a<p>In the paper we propose certain conditions, relatively easy to verify, which ensure the central limit theorem for some general class of Markov chains. To justify the usefulness of our criterion, we further verify it for a particular discrete-time Markov dynamical system. From the application point of view, the examined system provides a useful tool in analysing the stochastic dynamics of gene expression in prokaryotes.</p>