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|Title:||A monotonicity property for random walk in a partially random environment|
Monotonicity of speed
Random walk in a random environment
|Citation:||Holmes, M., Sun, R. (2012-04). A monotonicity property for random walk in a partially random environment. Stochastic Processes and their Applications 122 (4) : 1369-1396. ScholarBank@NUS Repository. https://doi.org/10.1016/j.spa.2012.01.006|
|Abstract:||We prove a law of large numbers for random walks in certain kinds of i.i.d. random environments in Z d that is an extension of a result of Bolthausen et al. (2003) . 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. © 2011 Elsevier B.V. All rights reserved.|
|Source Title:||Stochastic Processes and their Applications|
|Appears in Collections:||Staff Publications|
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