On $p$-adic Gibbs Measures for Hard Core Model on a Cayley Tree

zbMath1281.82006arXiv1107.4884MaRDI QIDQ2869221

Jean Ruiz, Utkir A. Rozikov, Daniel Gandolfo

Publication date: 3 January 2014

Full work available at URL: https://arxiv.org/abs/1107.4884

zbMATH Keywords

Cayley treeGibbs measurenearest-neighbour \(p\)-adic hard core model

Mathematics Subject Classification ID

Trees (05C05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Formally (p)-adic fields (12J12)

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