Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7550206 | Stochastic Processes and their Applications | 2006 | 19 Pages |
Abstract
Our subject of interest is a simple symmetric random walk on the integers which faces a random risk to be killed. This risk is described by random potentials, which are defined by a sequence of independent and identically distributed non-negative random variables. To determine the risk of taking a walk in these potentials we consider the decay of the Green function. There are two possible tools to describe this decay: The quenched Lyapunov exponent and the annealed Lyapunov exponent. It turns out that on the integers and on regular trees we can state a precise relation between these two.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Gundelinde Maria Wiegel,