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Title: The random conductance model with Cauchy tails
Authors: Zheng, Xinghua
Barlow, Martin T.
Keywords: Random conductance model
Invartance principle
Heat kernel
Issue Date: 2010
Citation: The annals of applied probability, v. 20, no. 3, 2010, p. 869-889
Abstract: We consider a random walk in an i.i.d. Cauchy-tailed conductances environment. We obtain a quenched functional CLT for the suitably rescaled random walk, and, as a key step in the arguments, we improve the local limit theorem for pωn2t (0, y) in [Ann. Probab. (2009). To appear], Theorem 5.14, to a result which gives uniform convergence for pωn2t(x, y) for all x, y in a ball.
Rights: The annals of applied probability © copyright (2010). Institute of Mathematical Statistics. The Journal's web site is located
Appears in Collections:ISOM Journal/Magazine Articles

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