Phase transition in loop percolation

DOI10.1007/s00440-015-0624-xzbMath1341.60123arXiv1403.5687OpenAlexW2035265484MaRDI QIDQ267029

Yinshan Chang, Artëm Sapozhnikov

Publication date: 7 April 2016

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.5687

zbMATH Keywords

phase transitioninteger latticeloop percolation

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

Related Items

Percolation and isoperimetry on roughly transitive graphs, Chemical distances for percolation of planar Gaussian free fields and critical random walk loop soups, Percolation of worms, Supercritical loop percolation on \(\mathbb{Z}^d\) for \(d \geq 3\), Equality of critical parameters for percolation of Gaussian free field level sets, Capacity of the range of random walk on \(\mathbb{Z}^{4}\), Markov loops, free field and Eulerian networks, Phase transition for level-set percolation of the membrane model in dimensions \(d \geq 5\), Space-time random walk loop measures, Conditional decoupling of random interlacements, Decoupling inequalities and supercritical percolation for the vacant set of random walk loop soup, From loop clusters and random interlacements to the free field

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