A monotonicity property for random walk in a partially random environment
نویسندگان
چکیده
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, Sznitman and Zeitouni [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. AMS 2010 subject classification: 60K37, 82C41.
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تاریخ انتشار 2011