On invariant generating sets for the cycle space

DOI10.1090/PROC/16910MaRDI QIDQ6602174

Ádám Timár

Publication date: 11 September 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

random graphscycle spaceFK-Ising cluster

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Cites Work

• Coupling and Bernoullicity in random-cluster and Potts models
• Random even graphs
• Finitary codings for the random-cluster model and other infinite-range monotone models
• Random currents and continuity of Ising model's spontaneous magnetization
• Emergent planarity in two-dimensional Ising models with finite-range interactions
• Processes on unimodular random networks
• Probability on trees and networks
• Continuity of the Ising phase transition on nonamenable groups
• Uniform even subgraphs and graphical representations of Ising as factors of i.i.d.

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