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Countably periodic Gibbs measures of the Ising model on the Cayley tree

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Publication:1417292
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DOI10.1023/A:1013832632251zbMath1031.82016OpenAlexW59839702MaRDI QIDQ1417292

Utkir A. Rozikov

Publication date: 4 January 2004

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1013832632251


zbMATH Keywords

normal divisors


Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)


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A multi-dimensional-time dynamical system ⋮ GIBBS MEASURES ON CAYLEY TREES: RESULTS AND OPEN PROBLEMS ⋮ System of recursive equations for the partition functions of 1D models ⋮ Description of periodic \(p\)-harmonic functions on Cayley tree



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