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.
An ergodic theorem with weights and applications to random measures, homogenization and hydrodynamics.Stochastic Processes and their Applications, 180:104522
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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.