Directional decay of the Green's function for a random nonnegative potential on Zd

• 成果类型: Article
• 署名作者: Zerner, MPW
• 署名单位: Swiss Federal Institutes of Technology Domain; ETH Zurich
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• 发表日期: 1998
• 页码: 246-280
• 关键词: 1st passage percolation; lyapounov exponents

摘要

We derive a shape theorem type result for the almost sure exponential decay of the Green's function of -Delta + V, where the potentials V(x), x is an element of Z(d), are i.i.d. nonnegative random variables. This result implies a large deviation principle governing the position of a d-dimensional random walk moving in the same potential.