Percolation and isoperimetry on roughly transitive graphs

DOI10.1214/17-AIHP857zbMath1417.60078arXiv1507.07765OpenAlexW2963161811WikidataQ129083970 ScholiaQ129083970MaRDI QIDQ1633906

Elisabetta Candellero, Augusto Q. Teixeira

Publication date: 21 December 2018

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/1507.07765

zbMATH Keywords

percolationisoperimetric inequalitiesdependent percolationdecoupling inequalitiesroughly transitive graphs

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Planar graphs; geometric and topological aspects of graph theory (05C10) Percolation (82B43)

Related Items (7)

Existence of phase transition for percolation using the Gaussian free field ⋮ Inhomogeneous percolation on ladder graphs ⋮ Transience and anchored isoperimetric dimension of supercritical percolation clusters ⋮ Gap at 1 for the percolation threshold of Cayley graphs ⋮ Unnamed Item ⋮ Multi-scale Lipschitz percolation of increasing events for Poisson random walks ⋮ Coexistence of competing first passage percolation on hyperbolic graphs

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