Ground states and Gibbs measures of some models with a finite radius of interactions on Cayley tree.
Main publications:
1. Botirov G.I., Benedikt Jahnel, Christof Kuelske, Phase transition and Critical values of a nearest-neighbor system with uncountable local state space on Cayley trees// Mathematical Physics, Analysis and Geometry, 2014, DOI 10.1007/s11040-014-9158-1, 17, p.323-331.
2. Botirov G.I., Rozikov U.A., Eshkabilov YU.KH. Phase transitions for a model with uncountable set of spin values on a cayley tree// Lobachevskii Journal of Mathematics, 2013, № 3, V.34, p. arXiv:1210.7311 10p.
3. Botirov G.I., Periodic ground states of a Hamiltonian on a Cayley tree.Mathematical Notes, 2010, 87:4, 582–585
4. Botirov G.I., Rozikov U.A., Potts model with competing interactions on the Cayley tree: The contour method.
5. Botirov G.I., Rozikov U.A., On q–component models on Cayley tree: the general case // Journal of Statistical Mech.: Theory and Exper. 2006. P10006, 8 p.
