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Weak convergence for reversible random walks in a random environment. (English) Zbl 0783.60067

A general framework for obtaining central limit theorems for random walks in a random environment is described by S. M. Kozlov [Russ. Math. Surv. 40, No. 2, 73-145 (1985); translation from Usp. Mat. Nauk 40, No. 2(242), 61-120 (1985; Zbl 0592.60054)]. In this paper the two-dimensional case is considered.

MSC:

60G50 Sums of independent random variables; random walks
60F05 Central limit and other weak theorems
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