Please use this identifier to cite or link to this item:
|Title:||A monotonicity property for random walk in a partially random environment|
Monotonicity of speed
Random walk in a random environment
|Source:||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|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Feb 15, 2018
WEB OF SCIENCETM
checked on Jan 30, 2018
checked on Feb 12, 2018
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.