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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  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