Lower Gaussian heat kernel bounds for the random conductance model in a degenerate ergodic environment

Sebastian Andres and Noah Halberstam

Stochastic Processes and their Applications, 2021, vol. 139, issue C, 212-228

Abstract: We study the random conductance model on Zd 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.

Keywords: Random conductance model; Heat kernel; Ergodic (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1016/j.spa.2021.05.003

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