Ergodicity of the hard-core model on \(\mathbb{Z}^ 2\) with parity-dependent activities

DOI10.1007/BF02559597zbMath0874.60097OpenAlexW2072678675MaRDI QIDQ1359484

Olle Häggström

Publication date: 2 November 1997

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02559597

zbMATH Keywords

ergodicitypercolationphase transitionhard-core model

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of gases (82D05) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Related Items (6)

Absence of mutual unbounded growth for almost all parameter values in the two-type Richardson model. ⋮ Nonmonotonicity of phase transitions in a loss network with controls ⋮ Slow Transitions and Starvation in Dense Random-Access Networks ⋮ Maximizing the number of independent sets in claw-free cubic graphs ⋮ The Number of Independent Sets in a Regular Graph ⋮ The repulsive lattice gas, the independent-set polynomial, and the Lovász local lemma

Cites Work

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• The philosophers' process: An ergodic reversible nearest particle system
• On the uniqueness of the infinite occupied cluster in dependent two- dimensional site percolation
• Density and uniqueness in percolation
• The critical probability of bond percolation on the square lattice equals 1/2
• Loss networks
• Percolation and the hard-core lattice gas model
• Agreement percolation and phase coexistence in some Gibbs systems.
• The problem of uniqueness of a Gibbsian random field and the problem of phase transitions

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