Quenched local limit theorem for random walks among time-dependent ergodic degenerate weights

DOI10.1007/s00440-021-01028-6zbMath1478.60271arXiv2001.10740OpenAlexW3003314390WikidataQ114229364 ScholiaQ114229364MaRDI QIDQ2663409

Sebastian Andres, Alberto Chiarini, Martin Slowik

Publication date: 16 April 2021

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.10740

zbMATH Keywords

isoperimetric inequalitypercolationinvariance principlerandom conductance modelde Giorgi's iteration

Mathematics Subject Classification ID

Percolation (82B43) Processes in random environments (60K37) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Functional limit theorems; invariance principles (60F17)

Related Items (10)

Off-diagonal heat kernel estimates for symmetric diffusions in a degenerate ergodic environment ⋮ Diffusive Limit of Random Walks on Tessellations via Generalized Gradient Flows ⋮ Local limit theorems for a directed random walk on the backbone of a supercritical oriented percolation cluster ⋮ Quantitative hydrodynamic limits of the Langevin dynamics for gradient interface models ⋮ Quenched invariance principle for a class of random conductance models with long-range jumps ⋮ Lower Gaussian heat kernel bounds for the random conductance model in a degenerate ergodic environment ⋮ A quenched local limit theorem for stochastic flows ⋮ Quenched local central limit theorem for random walks in a time-dependent balanced random environment ⋮ Non-uniformly parabolic equations and applications to the random conductance model ⋮ Collisions of random walks in dynamic random environments

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