Positive Fixed Points of Cubic Operators on R² and Gibbs Measures

Аннотация

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₊

Темы

Идентификаторы

DOI

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

Цитирования и источники