Green kernel asymptotics for two-dimensional random walks under random conductances

DOI10.1214/20-ECP337zbMath1471.60159arXiv1808.08126MaRDI QIDQ2201537

Martin Slowik, Sebastian Andres, Jean-Dominique Deuschel

Publication date: 29 September 2020

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.08126

zbMATH Keywords

random conductance modelstochastic interface model

Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Processes in random environments (60K37) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Transition functions, generators and resolvents (60J35) Anomalous diffusion models (subdiffusion, superdiffusion, continuous-time random walks, etc.) (60K50)

Related Items (6)

The maximum of log‐correlated Gaussian fields in random environment ⋮ Maximum of the Ginzburg-Landau fields ⋮ Quantitative homogenization of the parabolic and elliptic Green's functions on percolation clusters ⋮ Lower Gaussian heat kernel bounds for the random conductance model in a degenerate ergodic environment ⋮ Quenched local central limit theorem for random walks in a time-dependent balanced random environment ⋮ Collisions of random walks in dynamic random environments

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