Odd cutsets and the hard-core model on \(\mathbb{Z}^{d}\)

DOI10.1214/12-AIHP535zbMath1305.82019arXiv1106.3594MaRDI QIDQ405503

Wojciech Samotij, Ron Peled

Publication date: 5 September 2014

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/1106.3594

zbMATH Keywords

phase transitionhigh dimensionshard-core modelcutsets

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (8)

Rigidity of 3-colorings of the discrete torus ⋮ Algorithmic Pirogov-Sinai theory ⋮ Homomorphisms from the torus ⋮ Rigidity of proper colorings of \(\mathbb{Z}^d \) ⋮ Strongly correlated random interacting processes. Abstracts from the workshop held January 28 -- February 3, 2018 ⋮ The Growth Constant of Odd Cutsets in High Dimensions ⋮ Birthday inequalities, repulsion, and hard spheres ⋮ Finitary codings for spatial mixing Markov random fields

Cites Work

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• Exact sampling from anti‐monotone systems
• On Phase Transition in the Hard-Core Model on ${\mathbb Z}^d$
• Boundary-connectivity via graph theory

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