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math.PR2020
Non-uniformly parabolic equations and applications to the random conductance model
Peter Bella, Mathias Schäffner
We study local regularity properties of linear, non-uniformly parabolic finite-difference operators in divergence form related to the random conductance model on . In…
math.PR2019
Quenched invariance principle for random walks among random degenerate conductances
Peter Bella, Mathias Schäffner
We consider the random conductance model in a stationary and ergodic environment. Under suitable moment conditions on the conductances and their inverse, we prove a quenched invari…