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https://doi.org/10.1016/j.spa.2012.01.006
Title: | A monotonicity property for random walk in a partially random environment | Authors: | Holmes, M. Sun, R. |
Keywords: | Lace expansion Monotonicity of speed Random walk in a random environment |
Issue Date: | Apr-2012 | 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) [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. © 2011 Elsevier B.V. All rights reserved. | Source Title: | Stochastic Processes and their Applications | URI: | http://scholarbank.nus.edu.sg/handle/10635/102683 | ISSN: | 03044149 | DOI: | 10.1016/j.spa.2012.01.006 |
Appears in Collections: | Staff Publications |
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