Article

On periodic Gibbs measures of the Ising model corresponding to new subgroups of the group representation of a Cayley tree

F. H. HaydarovAKFA University, Tashkent, UzbekistanR. A. IlyasovaUlugbek National University of Uzbekistan, Tashkent, Uzbekistan

Theoretical and Mathematical Physicsjournal2022en

ABI

Abstract

We give a full description of all index- $$4$$ subgroups of the group representation of a Cayley tree. Also, we give new weakly periodic Gibbs measures of the Ising model corresponding to index- $$4$$ subgroups of the group representation of the Cayley tree.

Topics

Theoretical and Computational Physics Stochastic processes and statistical mechanics Markov Chains and Monte Carlo Methods

Identifiers

DOI: 10.1134/s0040577922020076

Citations and references

Cited by 2 15 references

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