Constants of concentration for a simple recurrent random walk on random environment

Pierre Andreoletti (1)

1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

We precise the asymptotic of the limsup of the size of the neighborhood of concentration of Sinai's walk. Also we get the almost sure limits of the number of points visited more than a fixed proportion of a given amount of time.

Mots clés: random environment; random walk; recurrent regime; local time

Domaines: Probabilités [math.PR]

Pierre Andreoletti. Constants of concentration for a simple recurrent random walk on random environment. 2008. ⟨hal-00264016v1⟩