THE SPEED OF A BIASED RANDOM WALK ON A PERCOLATION CLUSTER AT HIGH DENSITY

• 成果类型: Article
• 署名作者: Fribergh, Alexander
• 署名单位: New York University
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/09-AOP521
• 发表日期: 2010
• 页码: 1717-1782
• 关键词: quenched invariance-principles

摘要

We study the speed of a biased random walk on a percolation cluster on Z(d) in function of the percolation parameter p. We obtain a first order expansion of the speed at p = 1 which proves that percolating slows down the random walk at least in the case where the drift is along a component of the lattice.