Conditions for ballisticity and invariance principle for random walk in non-elliptic random environment

Abstract

We study the asymptotic behaviour of random walks in i.i.d. non-elliptic random environments on ${\mathbb{Z}}^d$. Standard conditions (and proofs) for ballisticity and the central limit theorem require ellipticity. We use oriented percolation and martingale arguments to give non-trivial local conditions for ballisticity and an annealed invariance principle in the non-elliptic setting.

References in corpus (2)

• Sharp ellipticity conditions for ballistic behavior of random walks in random environment
• Forward clusters for degenerate random environments