2017
Том 69
№ 9

All Issues

Weakly Periodic Gibbs Measures in the HC-Model for a Normal Divisor of Index Four

Khakimov R. M.


Abstract

We study an HC-model on a Cayley tree. Under certain restrictions imposed on the parameters of the HC-model, we prove the existence of weakly periodic (nonperiodic) Gibbs measures for a normal divisor of index four.

English version (Springer): Ukrainian Mathematical Journal 67 (2015), no. 10, pp 1584-1598.

Citation Example: Khakimov R. M. Weakly Periodic Gibbs Measures in the HC-Model for a Normal Divisor of Index Four // Ukr. Mat. Zh. - 2015. - 67, № 10. - pp. 1409-1422.