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- W3153460196 abstract "Necessary and sufficient conditions for a Markov chain to be ergodic are that the chain is irreducible and aperiodic. This result is manifest in the case of random walks on finite groups by a statement about the support of the driving probability: a random walk on a finite group is ergodic if and only if the support is not concentrated on a proper subgroup, nor on a coset of a proper normal subgroup. The study of random walks on finite groups extends naturally to the study of random walks on finite quantum groups, where a state on the algebra of functions plays the role of the driving probability. Necessary and sufficient conditions for ergodicity of a random walk on a finite quantum group are given on the support projection of the driving state." @default.
- W3153460196 created "2021-04-26" @default.
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- W3153460196 date "2021-04-14" @default.
- W3153460196 modified "2023-09-26" @default.
- W3153460196 title "The ergodic theorem for random walks on finite quantum groups" @default.
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- W3153460196 doi "https://doi.org/10.1080/00927872.2021.1908551" @default.
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