文章基本信息

标题：On the speed of Random Walks among Random Conductances
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作者：Noam Berger ; Michele Salvi
期刊名称：Latin American Journal of Probability and Mathematical Statistics
电子版ISSN：1980-0436
出版年度：2013
卷号：X
期号：2
页码：1063-1083
出版社：Instituto Nacional De Matemática Pura E Aplicada
摘要：We consider random walk among random conductances where the conductanceenvironment is shift invariant and ergodic. We study which momentconditions of the conductances guarantee speed zero of the random walk. We showthat if there exists > 1 such that E[log !e] < 1, then the random walk hasspeed zero. On the other hand, for each < 1 we provide examples of randomwalks with non-zero speed and random walks for which the limiting speed does notexist that have E[log !e] < 1.
关键词：Random Walks; Reversible; Random Conductances; Spanning Trees;Law of Large Numbers.