Moment bounds on correctors for the degenerate random conductance model

Antoine Gloria; Siguang Qi

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arXiv · 2605.20115

Moment bounds on correctors for the degenerate random conductance model

Antoine Gloria·Siguang Qi

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Abstract

We study the random conductance model on the lattice $\Z^d$, i.e. we consider a linear, finite-difference, divergence-form operator with random conductances $a$. We allow the conductances $a$ to be unbounded and degenerate. Assuming the conductances satisfy a spectral-gap inequality, we establish sharp bounds on the spatial growth of correctors, together with a quantitative relation between the stochastic integrability of the correctors and that of $a$.

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Antoine Gloria, Siguang Qi. 2026-05-19. Moment bounds on correctors for the degenerate random conductance model. https://arxiv.org/abs/2605.20115

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