Trapping in the random conductance model

DOI10.1007/s10955-012-0688-2zbMath1259.82042arXiv1202.2587OpenAlexW3098772406MaRDI QIDQ1942215

A. Rozinov, Marek Biskup, Alexander Vandenberg-Rodes, Oren Louidor

Publication date: 18 March 2013

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.2587

zbMATH Keywords

invariance principleheat kernelrandom walk in random environmentrandom conductance modelreturn probabilitytrapping

Mathematics Subject Classification ID

Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Processes in random environments (60K37) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

Related Items (3)

Anchored Nash inequalities and heat kernel bounds for static and dynamic degenerate environments ⋮ Harnack inequalities and local central limit theorem for the polynomial lower tail random conductance model ⋮ Recent progress on the random conductance model

Cites Work

• Unnamed Item
• Recent progress on the random conductance model
• Standard spectral dimension for the polynomial lower tail random conductances model
• On two-dimensional random walk among heavy-tailed conductances
• Convergence to fractional kinetics for random walks associated with unbounded conductances
• Anomalous heat-kernel decay for random walk among bounded random conductances
• Anomalous heat kernel behaviour for the dynamic random conductance model
• An invariance principle for reversible Markov processes. Applications to random motions in random environments
• On symmetric random walks with random conductances on \(\mathbb Z^d\)
• Quenched invariance principle for simple random walk on percolation clusters
• Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
• Density and uniqueness in percolation
• Parabolic Harnack inequality and estimates of Markov chains on graphs
• On the mixing time of a simple random walk on the super critical percolation cluster
• Random walks on supercritical percolation clusters
• Isoperimetry and heat kernel decay on percolation clusters.
• Quenched invariance principles for walks on clusters of percolation or among random conduc\-tances
• Heat-kernel estimates for random walk among random conductances with heavy tail
• Functional CLT for random walk among bounded random conductances
• Quenched invariance principles for random walks with random conductances
• Subdiffusive heat-kernel decay in four-dimensional i.i.d. random conductance models
• Quenched invariance principles for random walks on percolation clusters
• A note on exit time for anchored isoperimetry

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