145 citations
- C. Bambi48 · h 50
- J. Rayimbaev2 profiles46 · h 23
- B. Ahmedov2 profiles34 · h 42
- A. Abdujabbarov33 · h 41
- S. Shaymatov16 · h 24
- M. Koussour2 profiles14 · h 24
- A. Khudoyberdiyev13 · h 17
- Farruh Atamurotov13 · h 37
- Swarnim Shashank13 · h 7
- Honghui Liu12 · h 13
- S. Ehgamberdiev2 profiles11 · h 19
- U. Yakhshiev11 · h 12
- New Uzbekistan UniversityUZ91 papers
- Ulugh Beg Astronomical InstituteUZ75 papers
- Tashkent Institute of Irrigation and Agricultural Mechanization EngineersUZ55 papers
- Fudan UniversityCN42 papers
- Academy of Sciences Republic of UzbekistanUZ37 papers
- Tashkent State Technical University named after Islam KarimovUZ36 papers
- Institute of Nuclear PhysicsUZ32 papers
- Central Asian UniversityUZ27 papers
- Shanghai Astronomical ObservatoryCN22 papers
- Westminster International University in TashkentUZ21 papers
- University of TübingenDE19 papers
- Urgench State UniversityUZ19 papers
9 papers · 1 filter
Ground states and Gibbs measures of Ising model with competing interactions and an external field on a Cayley tree
M. M. Rahmatullaev, M. A. Rasulova, J. N Asqarov
We consider the Ising model with competing interactions and a nonzero external field on the Cayley tree of order two. We describe ground states and verify the Peierls condition for…
Fixed points of an infinite dimensional operator related to Gibbs measures
U. R. Olimov, U. A. Rozikov
We describe fixed points of an infinite dimensional non-linear operator related to a hard core (HC) model with a countable set of spin values on the Cayley tree. This…
Gibbs measures for HC-model with a countable set of spin values on a Cayley tree
R. M. Khakimov, M. T. Makhammadaliev, U. A. Rozikov
In this paper, we study the HC-model with a countable set of spin values on a Cayley tree of order . This model is defined by a countable set of parameters (th…
Mirror symmetry of height-periodic gradient Gibbs measures of a SOS model on Cayley trees
U. A. Rozikov
For the solid-on-solid (SOS) model with spin values from the set of all integers on a Cayley tree we give gradient Gibbs measures (GGMs). Such a measure corresponds to a boundary l…
Gradient Gibbs measures of a SOS model on Cayley trees: 4-periodic boundary laws
F. H. Haydarov, U. A. Rozikov
For SOS (solid-on-solid) model with external field and with spin values from the set of all integers, on a Cayley tree we give gradient Gibbs measures (GGMs). Such a measure corres…
Weakly periodic Gibbs measures of the Ising model on the Cayley tree of order five and six
Nasir Ganikhodjaev, Muzaffar Rahmatullaev, Mohd Hirzie Bin Mohd Rodzhan
For Ising model on the Cayley tree of order five and six we present new weakly periodic (non-periodic) Gibbs measures corresponding to normal subgroups of indices two in the group…