The Multistate Hard Core Model on a Regular Tree

DOI10.1137/09075514XzbMath1232.82006arXiv1007.4806OpenAlexW2006535639MaRDI QIDQ3094949

David Galvin, Kavita Ramanan, Fabio Martinelli, Prasad Tetali

Publication date: 27 October 2011

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.4806

zbMATH Keywords

phase transitionGibbs measuresmulticastinghard core modelloss networks

Mathematics Subject Classification ID

Stochastic network models in operations research (90B15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Graph theory (05C99)

Related Items (9)

Nonmonotonicity of phase transitions in a loss network with controls ⋮ Gibbs measures for HC-model with a cuountable set of spin values on a Cayley tree ⋮ \(H\)-colouring bipartite graphs ⋮ Gibbs measures for the fertile three-state hard-core models on a Cayley tree ⋮ GIBBS MEASURES ON CAYLEY TREES: RESULTS AND OPEN PROBLEMS ⋮ Maximizing H‐Colorings of a Regular Graph ⋮ Phase Transition of the Reconstructability of a General Model with Different In-Community and Out-Community Mutations on an Infinite Tree ⋮ Uniqueness of Gibbs measures for continuous hardcore models ⋮ Extremal H‐Colorings of Graphs with Fixed Minimum Degree

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