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.
Rough homogenization for langevin dynamics on fluctuating helfrich surfaces.Stochastic Analysis and Applications, 43(3):423–445
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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.