Annealed and quenched invariance principles are established for rough walks in random conductances via a unified structural strategy that upgrades classical convergence to p-variation rough paths.
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math.PR 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Under a spectral-gap assumption on possibly degenerate and unbounded random conductances, sharp moment bounds are derived for the spatial growth of correctors together with a quantitative link between their integrability and that of the conductances.
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Invariance principles for rough walks in random conductances
Annealed and quenched invariance principles are established for rough walks in random conductances via a unified structural strategy that upgrades classical convergence to p-variation rough paths.
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Moment bounds on correctors for the degenerate random conductance model
Under a spectral-gap assumption on possibly degenerate and unbounded random conductances, sharp moment bounds are derived for the spatial growth of correctors together with a quantitative link between their integrability and that of the conductances.