Spectral homogenization of reversible random walks on \(\mathbb Z^d\) in a random environment.

DOI10.1016/S0304-4149(02)00233-8zbMath1075.35507OpenAlexW2002886731MaRDI QIDQ2574547

Daniel Boivin, Jerome Depauw

Publication date: 29 November 2005

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0304-4149(02)00233-8

zbMATH Keywords

Dirichlet eigenvaluesrandom mediadifference operatorscentral limit theoremexit times

Mathematics Subject Classification ID

Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Processes in random environments (60K37) PDEs with randomness, stochastic partial differential equations (35R60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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Noise-stability and central limit theorems for effective resistance of random electric networks ⋮ Un théorème limite central local en environnement aléatoire stationnaire de conductances sur Z ⋮ Localization of the principal Dirichlet eigenvector in the heavy-tailed random conductance model ⋮ Invariance principle for Mott variable range hopping and other walks on point processes ⋮ Limit theory for random walks in degenerate time-dependent random environments ⋮ Quenched invariance principle for random walks with time-dependent ergodic degenerate weights ⋮ Quenched invariance principles for the random conductance model on a random graph with degenerate ergodic weights ⋮ An invariance principle for isotropic diffusions in random environment ⋮ The fractional \(p\)-Laplacian emerging from homogenization of the random conductance model with degenerate ergodic weights and unbounded-range jumps ⋮ Aspects of large random Markov kernels ⋮ Tail estimates for homogenization theorems in random media ⋮ Homogenization theory for the random conductance model with degenerate ergodic weights and unbounded-range jumps ⋮ Invariance principle for the random conductance model in a degenerate ergodic environment

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