Group representation of the Cayley forest and some of its applications

DOI10.1070/IM2003V067N01ABEH000416zbMath1065.82005OpenAlexW2009909168MaRDI QIDQ4674578

Utkir A. Rozikov, Nasir N. Ganikhodjaev

Publication date: 17 May 2005

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im2003v067n01abeh000416

Mathematics Subject Classification ID

Trees (05C05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (4)

A description of harmonic functions via properties of the group representation of the Cayley tree. ⋮ Periodic Gibbs measures for the Potts model in translation-invariant and periodic external fields on the Cayley tree ⋮ New class of Gibbs measures for two-state hard-core model on a Cayley tree ⋮ On weakly periodic Gibbs measures for the Potts model with external field on the Cayley tree

This page was built for publication: Group representation of the Cayley forest and some of its applications