(1) IMPA, Estrada Dona Castorina 110, Jardim Botanico, CEP 22460-320 Rio de Janeiro, RJ, Brasil;(2) Departement Mathematik, ETH-Zentrum, CH-8092 Zürich, Switzerland
Abstract:
In this work we principally study random walk on the supercritical infinite cluster for bond percolation on d. We prove a quenched functional central limit theorem for the walk when d4. We also prove a similar result for random walk among i.i.d. random conductances along nearest neighbor edges of d, when d1.V. Sidoravicius would like to thank the FIM for financial support and hospitality during his multiple visits to ETH. His research was also partially supported by FAPERJ and CNPq.