Search Results - "Rozikov, U."

Mirror Symmetry of Height-Periodic Gradient Gibbs Measures of an SOS Model on Cayley Trees by Rozikov, U. A.

“…For the solid-on-solid model with spin values from the set of all integers on a Cayley tree we give gradient Gibbs measures (GGMs). Such a measure corresponds…”
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Tree-hierarchy of DNA and distribution of Holliday junctions by Rozikov, U. A.

“…We define a DNA as a sequence of ± 1 ’s and embed it on a path of Cayley tree. Using group representation of the Cayley tree, we give a hierarchy of a…”
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Thermodynamics of interacting systems of DNA molecules by Rozikov, U. A.

“…We define a DNA molecule as a sequence of the numbers 1 and 2 and embed it on a path of a Cayley tree such that each vertex of the Cayley tree belongs to only…”
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A discrete-time dynamical system and an evolution algebra of mosquito population by Rozikov, U. A., Velasco, M. V.

“…Recently, continuous-time dynamical systems of mosquito populations have been studied. In this paper, we consider a discrete-time dynamical system, generated…”
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p-adic boundary laws and Markov chains on trees by Ny, A. Le, Liao, L., Rozikov, U. A.

“…In this paper, we consider a potential on general infinite trees with q spin values and nearest-neighbor p -adic interactions given by a stochastic matrix. We…”
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Adic Dynamical Systems of the Function by Rozikov, U. A.

“…In this paper we study -adic dynamical systems generated by the function in the set of complex -adic numbers. We find an explicit formula for the -fold…”
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Fixed points of an infinite-dimensional operator related to Gibbs measures by Olimov, U. R., Rozikov, U. A.

“…We describe fixed points of an infinite-dimensional nonlinear operator related to a hard-core (HC) model with a countable set of spin values on a Cayley tree…”
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Classification in chains of three-dimensional real evolution algebras by Narkuziyev, B. A., Rozikov, U. A.

“…A chain of evolution algebras (CEA) is an uncountable family (depending on time) of evolution algebras on the field of real numbers. The matrix of structural…”
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Dynamical Systems of Möbius Transformation: Real, -Adic and Complex Variables by Aliev, E. T., Rozikov, U. A.

“…In this paper we consider function , (where , , ) on three fields: the set of real, -adic and complex numbers. We study dynamical systems generated by this…”
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Gibbs Periodic Measures for a Two-State HC-Model on a Cayley Tree by Rozikov, U. A., Khakimov, R. M., Makhammadaliev, M. T.

“…In this paper, we study a two-state Hard-Core (HC) model with activity λ > 0 on a Cayley tree of order k ≥ 2 . It is known that there are λ cr , λ cr 0 , and λ…”
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Behavior of Trajectories of a Quadratic Operator by Rozikov, U. A., Solaeva, M. N.

“…We consider a two-parametric quadratic stochastic operator (QSO) mapping 3-dimensional simplex to itself. To date, for very few QSOs complete description of…”
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Dynamics of quadratic stochastic operators generated by China's five element philosophy by Ganikhodjaev, N. N., Pah, C. H., Rozikov, U.

“…Motivated by the China's five element philosophy (CFEP), we construct a permuted Volterra quadratic stochastic operator acting on the four-dimensional simplex…”
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Gibbs Measures for HC-Model with a Cuountable Set of Spin Values on a Cayley Tree by Khakimov, R. M., Makhammadaliev, M. T., Rozikov, U. A.

“…In this paper, we study the HC-model with a countable set Z of spin values on a Cayley tree of order k ≥ 2 . This model is defined by a countable set of…”
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Dynamical System of a Quadratic Stochastic Operator with Two Discontinuity Points by Abdurakhimova, Sh. B., Rozikov, U. A.

“…We consider a population consisting of two species whose dynamics is determined by a quadratic stochastic operator with variable coefficients, which makes it a…”
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Periodic Gibbs measures for the Potts model in translation-invariant and periodic external fields on the Cayley tree by Rozikov, U. A., Rakhmatullaev, M. M., Khakimov, R. M.

“…We study the Potts model in translation-invariant and periodic external fields on the Cayley tree of order . For the Potts model in a translation-invariant…”
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Boundary Conditions for Translation-Invariant Gibbs Measures of the Potts Model on Cayley Trees by Gandolfo, D., Rahmatullaev, M. M., Rozikov, U. A.

“…We consider translation-invariant splitting Gibbs measures (TISGMs) for the q -state Potts model on a Cayley tree of order two. Recently a full description of…”
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Synthesis and Phosphonylation of S-Methylthiouracil and Its Derivatives by Skrylkova, A. S., Nosova, N. A., Egorov, D. M., Khalikova, M. D., Rozikov, U. A., Safarov, S. Sh

“…A series of S -methylated derivatives of 2-thiouracil were prepared and then phosphonylated with diethyl chlorophosphate. The reaction conditions were…”
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Gibbs measures for the HC Blume–Capel model with countably many states on a Cayley tree by Ganikhodzhaev, N. N., Rozikov, U. A., Khatamov, N. M.

“…We study the Blume–Capel model with a countable set of spin values and a force of interaction between the nearest neighbors on a Cayley tree of order . The…”
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Planktons discrete-time dynamical systems by Rozikov, U. A, Shoyimardonov, S. K, Varro, R

“…In this paper, we initiate the study of a discrete-time dynamical system modelling a trophic network connecting the three types of plankton (phytoplankton,…”
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Algebras of cubic matrices by Ladra, M., Rozikov, U. A.

“…We consider algebras of -cubic matrices (with ). Since there are several kinds of multiplications of cubic matrices, one has to specify a multiplication first…”
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