Random walk in random environment: A counterexample?
Copyright policy )Random walk in random environment: A counterexample?
(The authors describe a family of random walks in random environment which have exponentially decaying correlations and nearest neighbour transition probabilities bounded away from zero, and yet are subdiffusive in any finite dimension. This contradicts the widespread notion that in case of short range correlations, two is the upper critical dimension for the problem. The models proposed are a special case of what the second author has called random walk on a random hillside [Commun. Math. Phys. 104, 87-102 (1986; Zbl 0595.60072)].
- Cornell University United States
- University of Minnesota United States
- University of Minnesota Morris United States
82A41, Sums of independent random variables; random walks, random walk in random environment, critical dimension, 60K35, nearest neighbour transition
82A41, Sums of independent random variables; random walks, random walk in random environment, critical dimension, 60K35, nearest neighbour transition
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