Percolation of finite clusters and infinite surfaces

DOI10.1017/S030500411300073XzbMath1303.60090arXiv1303.1657MaRDI QIDQ5408701

Alexander E. Holroyd, Gady Kozma, Geoffrey R. Grimmett

Publication date: 11 April 2014

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.1657

zbMATH Keywords

bond percolationcritical probabilityinfinite open clusterhigh-dimensional percolationrandom-cluster modelsarea and surface lawsdual plaquette processinfinite open surfacepercolation on regular trees

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

Constrained percolation in two dimensions, Phase transitions for degenerate random environments, Percolation of finite clusters and shielded paths, On chemical distance and local uniqueness of a sufficiently supercritical finitary random interlacements, Random colorings in manifolds, Empirical Measures, Geodesic Lengths, and a Variational Formula in First-Passage Percolation, Transience and anchored isoperimetric dimension of supercritical percolation clusters, Percolation on Homology Generators in Codimension One, Large deviations of the empirical flow for continuous time Markov chains

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