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Limit theorems for random walk in a mixing random environment

Posted on:2013-11-11Degree:Ph.DType:Dissertation
University:The University of UtahCandidate:Schoening, AnnaFull Text:PDF
GTID:1450390008469719Subject:Mathematics
Abstract/Summary:
We consider a random walk on the d+1-dimensional integer lattice in a cone-mixing space-time random environment. We give a condition for a law of large numbers to hold. Furthermore, assuming an exponentially decreasing spatial-mixing condition, as well as an exponentially decreasing cone-mixing condition, an almost-sure quenched functional central limit theorem is proved by using a martingale approach.
Keywords/Search Tags:Random, Condition
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