Random walk on the infinite cluster of the percolation model
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Publication:1326333
DOI10.1007/BF01195881zbMath0791.60095OpenAlexW1964366669MaRDI QIDQ1326333
Harry Kesten, Geoffrey R. Grimmett, Y. Zhang
Publication date: 14 July 1994
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01195881
bond percolationrandom walkinfinite clustereffective resistanceinfinite percolation cluster as a random electrical network
Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Percolation (82B43)
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Cites Work
- An invariance principle for reversible Markov processes. Applications to random motions in random environments
- The probability of a large cluster in supercritical Bernoulli perlocation
- Effective conductivity of homogeneous random sets
- A simple criterion for transience of a reversible Markov chain
- The supercritical phase of percolation is well behaved
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