Gap at 1 for the percolation threshold of Cayley graphs

DOI10.1214/22-aihp1286arXiv2111.00555OpenAlexW3209329457MaRDI QIDQ6147645

Franco Severo, Christoforos Panagiotis

Publication date: 16 January 2024

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/2111.00555

zbMATH Keywords

percolationphase transitioncritical pointCayley graphsGaussian free field

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26) Percolation (82B43)

Cites Work

• Unnamed Item
• Indicable groups and \(p_c<1\)
• Percolation and local isoperimetric inequalities
• Ends in uniform spanning forests
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Unpredictable paths and percolation
• Domination by product measures
• Percolation beyond \(\mathbb{Z}^ d\), many questions and a few answers
• Percolation and isoperimetry on roughly transitive graphs
• Percolation in strongly correlated systems: The massless Gaussian field
• The structure of approximate groups.
• A finitary structure theorem for vertex-transitive graphs of polynomial growth
• Strict monotonicity of percolation thresholds under covering maps
• Existence of phase transition for percolation using the Gaussian free field
• PERCOLATION ON GRIGORCHUK GROUPS
• Probability on Trees and Networks
• Cut sets and normed cohomology with applications to percolation
• Percolation

This page was built for publication: Gap at 1 for the percolation threshold of Cayley graphs