Quenched invariance principles for the random conductance model on a random graph with degenerate ergodic weights
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Publication:681524
DOI10.1007/s00440-017-0759-zzbMath1405.60152arXiv1602.08428OpenAlexW2292212526MaRDI QIDQ681524
Jean-Dominique Deuschel, Martin Slowik, Tuan Anh Nguyen
Publication date: 12 February 2018
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.08428
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 (12)
A Liouville theorem for elliptic systems with degenerate ergodic coefficients ⋮ Local limit theorems for the random conductance model and applications to the Ginzburg-Landau \(\nabla \phi\) interface model ⋮ Quenched local limit theorem for random walks among time-dependent ergodic degenerate weights ⋮ Quenched invariance principle for random walks among random degenerate conductances ⋮ Stochastic homogenization of random walks on point processes ⋮ Green kernel asymptotics for two-dimensional random walks under random conductances ⋮ Optimal corrector estimates on percolation cluster ⋮ Random conductance models with stable-like jumps: quenched invariance principle ⋮ 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 ⋮ A regularity theory for random elliptic operators ⋮ Homogenization theory for the random conductance model with degenerate ergodic weights and unbounded-range jumps
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