Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2019 12 (6)
- Authors
- Eshkabilov, Yusup Kh.; Nodirov, Shohruh D.
- Contact information
- Eshkabilov, Yusup Kh.: Karshi State University 17, Kuchabag st., Karshi, 180100 Uzbekistan; ; Nodirov, Shohruh D.: Karshi State University 17, Kuchabag st., Karshi, 180100 Uzbekistan;
- Keywords
- Cayley tree; Gibbs measure; translation-invariant Gibbs measure; fixed point; cubic operator; Hammerstein’s integral operator
- Abstract
One model with nearest neighbour interactions of spins with values from the set [0; 1] on the Cayley tree of order three is considered in the paper. Translation-invariant Gibbs measures for the model are studied. Results are proved by using properties of the positive fixed points of a cubic operator in the cone R²₊
- Pages
- 663–673
- DOI
- 10.17516/1997-1397-2019-12-6-663-673
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/127022
Journal of Siberian Federal University. Mathematics & Physics / Positive Fixed Points of Cubic Operators on R² and Gibbs Measures
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