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- National University of UzbekistanUZ35 papers
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- National University of Sciences and TechnologyPK11 papers
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- Inha University in TashkentUZ10 papers
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5 papers · 1 filter
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…
Poisson cohomology, Koszul duality, and Batalin-Vilkovisky algebras
Xiaojun Chen, Youming Chen, Farkhod Eshmatov +1
We study the noncommutative Poincaré duality between the Poisson homology and cohomology of unimodular Poisson algebras, and show that Kontsevich's deformation quantization as well…