Proceedings of the American Mathematical Society · 2000 · 10 citations · 6 references
Natural SciencesMathematicsDiscrete MathematicsProbability TheoryStochastic ProcessesErgodic TheoryGroup TheoryMarkov ChainsMarkov ProcessesRandom WalksPermutation GroupsRandom Walk Limit TheoremsRandom Walks On GraphsRandom Walks On GroupsSymmetric Random Walk
We present simple proofs of transience/recurrence for certain card shuffling models, that is, random walks on the infinite symmetric group.
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A Simple Criterion for Transience of a Reversible Markov Chain
Terry Lyons · The Annals of Probability · 1983 · 144 citations · Full text