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

Pierre Andreoletti (1)

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

We clarify the asymptotic of the limsup of the size of the neighborhood of concentration of Sinai's walk improving the result in \cite{Pierre3}. Also we get the almost sure limit of the number of points visited more than a small but 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. 2009. ⟨hal-00264016v2⟩