Lattice embeddings in percolation

DOI10.1214/10-AOP615zbMath1238.60110arXiv1003.3950MaRDI QIDQ662427

Alexander E. Holroyd, Geoffrey R. Grimmett

Publication date: 22 February 2012

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.3950

zbMATH Keywords

latticepercolationLipschitz embeddingopen sets

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (7)

Lipschitz embeddings of random fields ⋮ Lipschitz embeddings of random sequences ⋮ No exceptional words for Bernoulli percolation ⋮ Geometry of Lipschitz percolation ⋮ Polluted bootstrap percolation in three dimensions ⋮ Polluted bootstrap percolation with threshold two in all dimensions ⋮ Harry Kesten's work in probability theory

Cites Work

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• Plaquettes, spheres, and entanglement
• Pinning of interfaces in random media
• Lipschitz percolation
• On rough isometries of Poisson processes on the line
• Phase transitions on nonamenable graphs
• Percolation of arbitrary words in one dimension
• Three problems for the clairvoyant demon
• A combinatorial proof of Tucker's lemma for the n-cube

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