7 citations · 7 across the 8 of their papers we have counts for
8 papers
Gradient Gibbs measures for the SOS model with integer spin values on a Cayley tree
G. I. Botirov, F. H. Haydarov
In the present paper we continue the investigation from [1] and consider the SOS (solid-on-solid) model on the Cayley tree of order . In the ferromagnetic SOS case on the…
Phase transitions for a model with uncountable spin space on the Cayley tree: the general case
Golibjon Botirov, Benedikt Jahnel
In this paper we complete the analysis of a statistical mechanics model on Cayley trees of any degree, started in [EsHaRo12,EsRo10,BoEsRo13,JaKuBo14,Bo17]. The potential is of near…
Non-translation-invariant Gibbs Measures for Models With Uncountable Set of Spin Values on a Cayley Tree
U. A. Rozikov, G. I. Botirov
We consider models with nearest-neighbor interactions and with the set of spin values, on a Cayley tree of order . It is known that the "splitting Gibbs measures"…
Phase transition for models with continuum set of spin values on Bethe lattice
Yu. Kh. Eshkabilov, G. I. Botirov, F. H. Haydarov
In this paper we consider models with nearest-neighbor interactions and with the set [0,1] of spin values, on a Bethe lattice (Cayley tree) of an arbitrary order. These models depe…
Phase Transitions for a model with uncountable set of spin values on a Cayley tree
Yu. Kh. Eshkabilov, U. A. Rozikov, G. I. Botirov
In this paper we consider a model with nearest-neighbor interactions and with the set of spin values, on a Cayley tree of order . To study translation-invariant G…
Ground States for Potts Model with Competing Interactions on Cayley Tree
G. I. Botirov
We consider the Potts model with two-step interactions and spin values 1,2,3,4 on a Cayley tree. We describe periodic ground states and verify the Peierls condition for the model.