Convergence to fractional kinetics for random walks associated with unbounded conductances

DOI10.1007/s00440-009-0257-zzbMath1227.60112OpenAlexW2068627343MaRDI QIDQ639870

Martin T. Barlow, Jiří Černý

Publication date: 11 October 2011

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

Full work available at URL: http://hdl.handle.net/20.500.11850/32525

zbMATH Keywords

scaling limitrandom walkfractional-kinetics processnon-symmetric Bouchaud's trap modelunbounded random conductances

Mathematics Subject Classification ID

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 (20)

Reflected spectrally negative stable processes and their governing equations ⋮ Gaussian bounds and collisions of variable speed random walks on lattices with power law conductances ⋮ Infinite level GREM-like K-processes existence and convergence ⋮ Berry-Esseen estimates for regenerative processes under weak moment assumptions ⋮ Trapping in the random conductance model ⋮ Existence of the harmonic measure for random walks on graphs and in random environments ⋮ Long-range trap models on \(\mathbb Z\) and quasistable processes ⋮ Recent progress on the random conductance model ⋮ Fractal dimension results for continuous time random walks ⋮ Discrete fractal dimensions of the ranges of random walks in \(\mathbb Z^d\) associate with random conductances ⋮ The \(K\)-process on a tree as a scaling limit of the GREM-like trap model ⋮ Censored stable subordinators and fractional derivatives ⋮ Strong analytic solutions of fractional Cauchy problems ⋮ Stochastic representation of solution to nonlocal-in-time diffusion ⋮ Scaling limits for sub-ballistic biased random walks in random conductances ⋮ Aging of the Metropolis dynamics on the random energy model ⋮ Randomly trapped random walks on \(\mathbb{Z}^d\) ⋮ The random conductance model with heavy tails on nested fractal graphs ⋮ Heat kernel estimates for time fractional equations ⋮ Stochastic classical solutions for space-time fractional evolution equations on a bounded domain

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