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The central limit theorem for stationary Markov processes with normal generator—with applications to hypergroups
2005
Stochastics: An International Journal of Probability and Stochastic Processes
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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