Article

Positive Fixed Points of Cubic Operators on R² and Gibbs Measures

Yusup Kh. EshkabilovKarshi State UniversityShohruh Dilmurodovich NodirovKarshi State University

Journal of Siberian Federal University Mathematics & Physicsjournal2019en

ABI

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₊

Topics

advanced mathematical theories Random Matrices and Applications Mathematical Dynamics and Fractals

Identifiers

DOI: 10.17516/1997-1397-2019-12-6-663-673

Citations and references

Cited by 5 20 references

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