Quenched invariance principles for random walks on percolation clusters

DOI10.1098/rspa.2007.1876zbMath1131.82012arXivmath/0505672OpenAlexW2096414198MaRDI QIDQ5438423

Andrey L. Piatnitski, Pierre Mathieu

Publication date: 23 January 2008

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0505672

zbMATH Keywords

percolationinvariance principlerandom walkinfinite cluster

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Percolation (82B43) Functional limit theorems; invariance principles (60F17)

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