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.
arXiv comment19 pages; accepted version, to appear in Stochastic Process. Appl
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