Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10527271 | Stochastic Processes and their Applications | 2012 | 28 Pages |
Abstract
We prove a law of large numbers for random walks in certain kinds of i.i.d. random environments in Zd that is an extension of a result of Bolthausen et al. (2003) [4]. We use this result, along with the lace expansion for self-interacting random walks, to prove a monotonicity result for the first coordinate of the speed of the random walk under some strong assumptions on the distribution of the environment.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Mark Holmes, Rongfeng Sun,