paper

Lower Gaussian heat kernel bounds for the Random Conductance Model in a degenerate ergodic environment

arXiv:2011.12731 · doi:10.1016/j.spa.2021.05.003

Abstract

We study the random conductance model on with ergodic, unbounded conductances. We prove a Gaussian lower bound on the heat kernel given a polynomial moment condition and some additional assumptions on the correlations of the conductances. The proof is based on the well-established chaining technique. We also obtain bounds on the Green's function.

19 pages; accepted version, to appear in Stochastic Process. Appl

Lower Gaussian heat kernel bounds for the Random Conductance Model in a degenerate ergodic environment · wovepaper