A quantitative Burton-Keane estimate under strong FKG condition

DOI10.1214/15-AOP1049zbMath1357.60109arXiv1409.5199MaRDI QIDQ341488

Hugo Duminil-Copin, Yvan Velenik, Dimitry Ioffe

Publication date: 16 November 2016

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

Full work available at URL: https://arxiv.org/abs/1409.5199

zbMATH Keywords

random cluster modelnegative associationFK percolationreverse Poincaré inequalityBurton-Keane theoremdependent percolationfour-arms event

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)

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