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Random walk in random environment: A counterexample without potential
Authors:Maury Bramson
Institution:(1) University of Wisconsin, 53706 Madison, Wisconsin
Abstract:We describe a family of random walks in random environment which have exponentially decaying correlations, nearest neighbor transition probabilities which are bounded away from 0, and are subdiffusive in any dimensiond<infin. The random environments have no potential ind>1.
Keywords:Random walk  random environment  subdiffusive  exponentially decaying correlations
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