Geometry of Lipschitz percolation

DOI10.1214/10-AIHP403zbMath1255.60167arXiv1007.3762MaRDI QIDQ424688

Geoffrey R. Grimmett, Alexander E. Holroyd

Publication date: 4 June 2012

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.3762

zbMATH Keywords

branching processespercolationLipschitz embeddingrandom surfacetotal progeny

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

Lipschitz embeddings of random fields, Phase transitions for degenerate random environments, Bootstrap percolation on the product of the two-dimensional lattice with a Hamming square, Lipschitz embeddings of random sequences, Pinning of interfaces by localized dry friction, Subcritical monotone cellular automata, Pinning of interfaces in random media, Multi-scale Lipschitz percolation of increasing events for Poisson random walks, Polluted bootstrap percolation in three dimensions, Pinning of interfaces in a random medium with zero mean, Polluted bootstrap percolation with threshold two in all dimensions, Harry Kesten's work in probability theory

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