Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2017 10 (3)
- Authors
- Botirov, Golibjon I.
- Contact information
- Botirov, Golibjon I.: Anisotropic Ising Model with Countable Set of Spin Values on Cayley Tree;
- Keywords
- Cayley tree; Ising model; Gibbs measures; functional equations; compatibility of distributions measure
- Abstract
In this paper we investigate of an infinite system of functional equations for the Ising model with com- peting interactions and countable spin values 0; 1; : : : and non zero filed on a Cayley tree of order two. We derived an infinite system of functional equations for the Ising model that is we describe conditions on hx guaranteeing compatibility of distributions μ(ⁿ) σ( n)
- Pages
- 305–309
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/33616
Journal of Siberian Federal University. Mathematics & Physics / Anisotropic Ising Model with Countable Set of Spin Values on Cayley Tree
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