Random Infinite Permutations and the Cyclic Time Random WalkReport as inadecuate




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1 Weizmann Institute of Science - Department of Mathematics

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.

Keywords : Self interacting random walk Random permutation Phase transition





Author: Omer Angel -

Source: https://hal.archives-ouvertes.fr/



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