Fully-connected bond percolation on \(\mathbb{Z}^d\)

DOI10.1007/s00440-021-01088-8zbMath1503.60144arXiv2102.06446OpenAlexW3204770901MaRDI QIDQ2140006

David Dereudre

Publication date: 20 May 2022

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

Full work available at URL: https://arxiv.org/abs/2102.06446

zbMATH Keywords

phase transitionrandom cluster modelFKG inequalitiesDLR equationsFK-percolation

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Random graphs (graph-theoretic aspects) (05C80) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05) Phase transitions (general) in equilibrium statistical mechanics (82B26)

Related Items (1)

Weakly constrained-degree percolation on the hypercubic lattice

Cites Work

• A new proof of the sharpness of the phase transition for Bernoulli percolation on \(\mathbb{Z}^d\)
• Gibbs measures and phase transitions.
• Infinite volume continuum random cluster model
• The incipient infinite cluster in two-dimensional percolation
• Density and uniqueness in percolation
• Disagreement percolation in the study of Markov fields
• Incipient infinite percolation clusters in 2D.
• Kesten's incipient infinite cluster and quasi-multiplicativity of crossing probabilities
• Percolation
• SIXTY YEARS OF PERCOLATION
• Statistical Mechanics of Lattice Systems
• The Random-Cluster Model

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