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Conditions for Ballisticity and Invariance Principle for Random Walk in Non-elliptic Random Environment by Holmes, Mark; Salisbury, Thomas S. is a scholarly article available to read on EtoBox.

What is Conditions for Ballisticity and Invariance Principle for Random Walk in Non-elliptic Random Environment about?

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.

Author

Holmes, Mark; Salisbury, Thomas S.

Published

2016

Language

EN