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Random Infinite Permutations and the Cyclic Time Random Walk

Abstract : The random stirring process is a natural random walk on the set of permutations of the vertex set of a graph. The cyclic time random walk is a self interacting random walk on a graph. It is influenced by its past, in that it is constrained to repeat its past choices if it returns to a previously visited edge after a multiple of some period of time. The two models are fundamentally equivalent to each other as well as to a certain coalescence and fragmentation process.
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Omer Angel. Random Infinite Permutations and the Cyclic Time Random Walk. Discrete Random Walks, DRW'03, 2003, Paris, France. pp.9-16. ⟨hal-01183937⟩

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