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math-ph2017
Weakly periodic Gibbs measures for two and three state HC models on a Cayley tree
R. M. Khakimov, G. T. Madgoziyev
In this paper we study two and three state HC-model on a Cayley tree. Under some conditions on parameters of the HC-model, in the case of normal divisor of the index four, we prove…
math-ph2015★ 1 cited
Four Competing interactions for models with uncountable set of spin values on a Cayley Tree
U. A. Rozikov, F. H. Haydarov
In this paper we consider four competing interactions (external field, nearest neighbor, second neighbors and triples of neighbors) of models with uncountable (i.e. ) set of…
math-ph2006★ 32 cited
A Contour Method on Cayley tree
U. A. Rozikov
We consider a finite range lattice models on Cayley tree with two basic properties: the existence of only a finite number of ground states and with Peierls type condition. We defin…