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.
Superdiffusive limits for deterministic fast–slow dynamical systems.Probability theory and related fields, 178(3):735–770
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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.