Representability of trees and some of their applications
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Publication:1810219
DOI10.1023/A:1020580227830zbMath1028.82008OpenAlexW101216744MaRDI QIDQ1810219
Publication date: 15 June 2003
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1020580227830
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44)
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A description of harmonic functions via properties of the group representation of the Cayley tree. ⋮ A multi-dimensional-time dynamical system ⋮ \(p\)-adic boundary laws and Markov chains on trees ⋮ GIBBS MEASURES ON CAYLEY TREES: RESULTS AND OPEN PROBLEMS ⋮ On a generalized \(p\)-adic Gibbs measure for Ising model on trees ⋮ Periodic \(p\)-adic Gibbs measures of \(q\)-state Potts model on Cayley trees. I: The chaos implies the vastness of the set of \(p\)-adic Gibbs measures
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