A conditional quenched CLT for random walks among random conductances on Zᵈ

الأصل · EN

Consider a random walk among random conductances on Zᵈ with d≥ 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.