The central limit theorem for stationary Markov processes with normal generator—with applications to hypergroups

Hajo Holzmann
2005 Stochastics: An International Journal of Probability and Stochastic Processes  
We extend the central limit theorem for additive functionals of a stationary, ergodic Markov chain with normal transition operator due to Gordin and Lifšic [12] to continuoustime Markov processes with normal generators. As examples we discuss random walks on compact commutative hypergroups as well as certain random walks on non-commutative, compact groups.
doi:10.1080/17442500500190060 fatcat:cr4d5swpkzc6dbqnmojxceht6a