A conditional quenched CLT for random walks among random conductances on $\mathbb{Z}^d$

Details A conditional quenched CLT for random walks among random conductances on $\mathbb{Z}^d$ A conditional quenched CLT for random walks among random conductances on $\mathbb{Z}^d$

2011-08-29

arxiv.org/abs/1108.5616v1

Mathematics

Probability

35 pages

Scientific paper

Consider a random walk among random conductances on $\mathbb{Z}^d$ with
$d\geq 2$. We study the quenched limit law under the usual diffusive scaling of
the random walk conditioned to have its first coordinate positive. We show that
the conditional limit law is the product of a Brownian meander and a
$(d-1)$-dimensional Brownian motion.

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