A limit result for a system of particles in random environment

Pierre Andreoletti (1)

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

We consider an infinite system of particles in one dimension, each particle performs independant Sinai's random walk in random environment. Considering an instant $t$, large enough, we prove a result in probability showing that the particles are trapped in the neighborhood of well defined points of the lattice depending on the random environment the time $t$ and the starting point of the particles.

Mots clés: random environment; random walk; Sinai's regime; system of particles; excursion

Domaines: Probabilités [math.PR]

Pierre Andreoletti. A limit result for a system of particles in random environment. 2007. ⟨hal-00168864⟩