Return probabilities of a simple random walk on percolation clusters

DOI10.1214/EJP.v10-240zbMath1070.60067MaRDI QIDQ1767555

Deborah Heicklen, Christopher Hoffmann

Publication date: 8 March 2005

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

Full work available at URL: https://eudml.org/doc/125067

zbMATH Keywords

percolationheat kernelsimple random walkreturn timesspanning forests

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Diffusion processes (60J60) Probabilistic potential theory (60J45)

Related Items (14)

Isoperimetry and heat kernel decay on percolation clusters. ⋮ Quenched invariance principle for simple random walk on percolation clusters ⋮ Monotonicity for continuous-time random walks ⋮ Simple random walk on long range percolation clusters. I: Heat kernel bounds ⋮ Recent progress on the random conductance model ⋮ Comparing Graphs of Different Sizes ⋮ Simple random walk on long-range percolation clusters. II: Scaling limits ⋮ An interlacing technique for spectra of random walks and its application to finite percolation clusters ⋮ Spectral asymptotics of the Laplacian on supercritical bond-percolation graphs ⋮ Random walks on supercritical percolation clusters ⋮ Heat-kernel estimates for random walk among random conductances with heavy tail ⋮ Percolation Hamiltonians ⋮ Anomalous heat-kernel decay for random walk among bounded random conductances ⋮ Monotonicity of average return probabilities for random walks in random environments

This page was built for publication: Return probabilities of a simple random walk on percolation clusters