A Conditional Quenched CLT for Random Walks Among Random Conductances on Z(d)

作者：Gallesco C^*; Gantert N; Popov S; Vachkovskaia M

来源：Markov Processes and Related Fields, 2014, 20(2): 287-328.

• random conductance model
• uniform heat kernel bounds
• Brownian meander
• reversibility

Consider a random walk among random conductances on Z(d) 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.

• 出版日期2014