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Positive fixed points of cubic operators on $\mathbb{R}^{2}$ and Gibbs Measures by Eshkabilov, Yu. Kh.; Nodirov, Sh. D. is a scholarly article available to read on EtoBox.

What is Positive fixed points of cubic operators on $\mathbb{R}^{2}$ and Gibbs Measures about?

In this paper we consider one model with nearest-neighbor interactions and with the set $[0,1]$ of spin values on the Cayley tree of order three. 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 $\mathbb{R}_+^{2}$.

Author

Eshkabilov, Yu. Kh.; Nodirov, Sh. D.

Published

2018

Language

EN