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• W2950134530 abstract "We consider the nearest-neighbor simple random walk on $Z^d$, $dge2$, driven by a field of i.i.d. random nearest-neighbor conductances $omega_{xy}in[0,1]$. Apart from the requirement that the bonds with positive conductances percolate, we pose no restriction on the law of the $omega$'s. We prove that, for a.e. realization of the environment, the path distribution of the walk converges weakly to that of non-degenerate, isotropic Brownian motion. The quenched functional CLT holds despite the fact that the local CLT may fail in $dge5$ due to anomalously slow decay of the probability that the walk returns to the starting point at a given time (cf math.PR/0611666)." @default.
• W2950134530 created "2019-06-27" @default.
• W2950134530 creator A5040906386 @default.
• W2950134530 creator A5059713105 @default.
• W2950134530 date "2007-01-09" @default.
• W2950134530 modified "2023-09-23" @default.
• W2950134530 title "Functional CLT for random walk among bounded random conductances" @default.
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• W2950134530 hasPublicationYear "2007" @default.
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