Integrability of exit times and ballisticity for random walks in Dirichlet environment
Integrability of exit times and ballisticity for random walks in Dirichlet environment
We consider random walks in Dirichlet random environment. Since the Dirichlet distribution is not uniformly elliptic, the annealed integrability of the exit time out of a given finite subset is a non-trivial question. In this paper we provide a simple and explicit equivalent condition for the integrability of Green functions …