Abstract
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 a linear transformation of the product law of a Brownian meander and a (d - 1)-dimensional Brownian motion.
Original language | English |
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Pages (from-to) | 287-328 |
Number of pages | 42 |
Journal | Markov Processes and Related Fields |
Volume | 20 |
Issue number | 2 |
State | Published - 2014 |
Keywords
- Brownian meander
- Random conductance model
- Reversibility
- Uniform heat kernel bounds