Random Infinite Permutations and the Cyclic Time Random Walk

Omer Angel (1)

1 Weizmann Institute of Science - Department of Mathematics

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.

Mots clés: Self interacting random walk; Random permutation; Phase transition

Domaines: Algorithme et structure de données [cs.DS]; Mathématique discrète [cs.DM]; Combinatoire [math.CO]; Géométrie algorithmique [cs.CG]

Omer Angel. Random Infinite Permutations and the Cyclic Time Random Walk. Discrete Random Walks, DRW'03, 2003, Paris, France. pp.9-16, ⟨10.46298/dmtcs.3342⟩. ⟨hal-01183937⟩