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Rozikov, Utkir A.

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Author ID: rozikov.utkir-a Recent zbMATH articles by "Rozikov, Utkir A."
Published as: Rozikov, U. A.; Rozikov, Utkir A.; Rozikov, Utkir
External Links: Math-Net.Ru
Documents Indexed: 145 Publications since 1996, including 3 Books
Reviewing Activity: 373 Reviews
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Serials

24 Theoretical and Mathematical Physics
11 Journal of Statistical Physics
8 Uzbekskiĭ Matematicheskiĭ Zhurnal
8 Lobachevskii Journal of Mathematics
6 Linear Algebra and its Applications
5 Mathematical Notes
4 Letters in Mathematical Physics
4 Mathematical Physics, Analysis and Geometry
4 Markov Processes and Related Fields
4 Infinite Dimensional Analysis, Quantum Probability and Related Topics
3 Journal of Algebra
3 Qualitative Theory of Dynamical Systems
3 Journal of Statistical Mechanics: Theory and Experiment
3 International Journal of Biomathematics
3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
2 Journal of Mathematical Biology
2 Linear and Multilinear Algebra
2 Ukraïns’kyĭ Matematychnyĭ Zhurnal
2 Queueing Systems
2 Algebra Colloquium
2 Sbornik: Mathematics
2 Doklady Akademii Nauk Respubliki Uzbekistan. Matematika, Tekhnicheskie Nauki, Estestvoznanie
2 TWMS Journal of Pure and Applied Mathematics
2 Discontinuity, Nonlinearity, and Complexity
1 Communications in Algebra
1 Communications in Mathematical Physics
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Physics
1 Reports on Mathematical Physics
1 Russian Mathematical Surveys
1 Ukrainian Mathematical Journal
1 Reviews in Mathematical Physics
1 Chaos, Solitons and Fractals
1 Osaka Journal of Mathematics
1 Results in Mathematics
1 Sibirskiĭ Matematicheskiĭ Zhurnal
1 Stochastic Analysis and Applications
1 International Journal of Mathematics
1 Random Structures & Algorithms
1 Indagationes Mathematicae. New Series
1 NoDEA. Nonlinear Differential Equations and Applications
1 Electronic Journal of Probability
1 Izvestiya: Mathematics
1 Doklady Mathematics
1 Methods of Functional Analysis and Topology
1 Regular and Chaotic Dynamics
1 Journal of Nonlinear Mathematical Physics
1 Nonlinear Dynamics and Systems Theory
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Central European Journal of Mathematics
1 International Journal of Geometric Methods in Modern Physics
1 Springer Proceedings in Mathematics & Statistics
1 Journal of Applied Nonlinear Dynamics
1 Journal of Algebra and Related Topics

Publications by Year

Citations contained in zbMATH Open

115 Publications have been cited 1,157 times in 325 Documents Cited by Year
Gibbs measures on Cayley trees. Zbl 1278.82002
Rozikov, Utkir A.
77
2013
Quadratic stochastic operators and processes: results and open problems. Zbl 1242.60067
Ganikhodzhaev, Rasul; Mukhamedov, Farrukh; Rozikov, Utkir
67
2011
Description of periodic extreme Gibbs measures of some lattice models on the Cayley tree. Zbl 0964.82504
Ganikhodzhaev, N. N.; Rozikov, U. A.
53
1997
On Gibbs measures of \(p\)-adic Potts model on the Cayley tree. Zbl 1161.82311
Mukhamedov, Farruh M.; Rozikov, Utkir A.
35
2004
A hard-core model on a Cayley tree: an example of a loss network. Zbl 1139.90338
Suhov, Y.; Rozikov, U. A.
32
2004
Partition structures of the group representation of the Cayley tree into cosets by finite-index normal subgroups and their applications to the description of periodic Gibbs distributions. Zbl 0978.82506
Rozikov, U. A.
31
1997
On evolution algebras. Zbl 1367.17026
Casas, J. M.; Ladra, M.; Omirov, B. A.; Rozikov, U. A.
31
2014
The Potts model with countable set of spin values on a Cayley tree. Zbl 1101.82003
Ganikhodjaev, N. N.; Rozikov, U. A.
26
2006
On inhomogeneous \(p\)-adic Potts model on a Cayley tree. Zbl 1096.82007
Mukhamedov, Farrukh; Rozikov, Utkir
26
2005
On Gibbs measures of models with competing ternary and binary interactions and corresponding von Neumann algebras. Zbl 1061.82007
Mukhamedov, Farruh; Rozikov, Utkir
25
2004
\(F\)-quadratic stochastic operators. Zbl 1167.92023
Rozikov, U. A.; Zhamilov, U. U.
23
2008
A chain of evolution algebras. Zbl 1220.17026
Casas, J. M.; Ladra, M.; Rozikov, U. A.
22
2011
Description of the translation-invariant splitting Gibbs measures for the Potts model on a Cayley tree. Zbl 1298.82022
Külske, C.; Rozikov, U. A.; Khakimov, R. M.
22
2014
The dynamics of strictly non-Volterra quadratic stochastic operators on the 2-simplex. Zbl 1194.47077
Zhamilov, U. U.; Rozikov, U. A.
20
2009
Gibbs measures for SOS models on a Cayley tree. Zbl 1106.60081
Rozikov, U. A.; Suhov, Y. M.
19
2006
Evolution algebra of a bisexual population. Zbl 1293.17041
Ladra, M.; Rozikov, U. A.
19
2013
A three state hard-core model on a Cayley tree. Zbl 1171.82308
Martin, James; Rozikov, Utkir; Suhov, Yuri
18
2005
On rational \(p\)-adic dynamical systems. Zbl 1053.37022
Mukhamedov, Farruh; Rozikov, Utkir
17
2004
On Gibbs measures of models with competing ternary and binary interactions and corresponding von Neumann algebras. II. Zbl 1071.82017
Mukhamedov, Farruh; Rozikov, Utkir
17
2005
An evolution algebra in population genetics. Zbl 1292.17030
Labra, A.; Ladra, M.; Rozikov, U. A.
17
2014
Construction of an uncountable number of limiting Gibbs measures in the inhomogeneous Ising model. Zbl 0957.82007
Rozikov, U. A.
16
1999
Description of weakly periodic Gibbs measures for the Ising model on a Cayley tree. Zbl 1157.82311
Rozikov, U. A.; Rakhmatullaev, M. M.
16
2008
Weakly periodic ground states and Gibbs measures for the Ising model with competing interactions on the Cayley tree. Zbl 1180.82034
Rozikov, U. A.; Rakhmatullaev, M. M.
16
2009
On Ising model with four competing interactions on Cayley tree. Zbl 1185.60112
Ganikhodjaev, N. N.; Rozikov, U. A.
15
2009
On nilpotent index and dibaricity of evolution algebras. Zbl 1343.17021
Casas, J. M.; Ladra, Manuel; Omirov, B. A.; Rozikov, U. A.
14
2013
Evolution algebras generated by Gibbs measures. Zbl 1260.46031
Rozikov, U. A.; Tian, J. P.
14
2011
Non-uniqueness of Gibbs measure for models with uncountable set of spin values on a Cayley tree. Zbl 1252.82026
Eshkabilov, Y. K.; Haydarov, F. H.; Rozikov, U. A.
13
2012
\(p\)-adic \((2,1)\)-rational dynamical systems. Zbl 1302.37056
Albeverio, S.; Rozikov, U. A.; Sattarov, I. A.
13
2013
Existence of a phase transition for the Potts \(p\)-adic model on the set \(\mathbb{Z}\). Zbl 1031.82013
Ganikhodzhaev, N. N.; Mukhamedov, F. M.; Rozikov, U. A.
12
2002
Dynamics of two-dimensional evolution algebras. Zbl 1297.37011
Rozikov, U. A.; Murodov, Sh. N.
12
2013
On models with uncountable set of spin values on a Cayley tree: integral equations. Zbl 1252.82034
Rozikov, Utkir A.; Eshkobilov, Yusup Kh.
12
2010
On the uniqueness of Gibbs measures for \(p\)-adic nonhomogeneous \({\lambda}\)-model on the Cayley tree. Zbl 1065.46057
Khamraev, Murod; Mukhamedov, Farruh; Rozikov, Utkir
11
2004
A constructive description of ground states and Gibbs measures for Ising model with two-step interactions on Cayley tree. Zbl 1149.82008
Rozikov, U. A.
11
2006
On quadratic stochastic operators generated by Gibbs distributions. Zbl 1164.37309
Ganikhodzhaev, N. N.; Rozikov, U. A.
11
2006
Fertile HC models with three states on a Cayley tree. Zbl 1157.82312
Rozikov, U. A.; Shoyusupov, Sh. A.
11
2008
\(p\)-adic Gibbs measures and Markov random fields on countable graphs. Zbl 1286.82013
Rozikov, U. A.; Khakimov, O. N.
11
2013
Periodic Gibbs measures for the Potts model on the Cayley tree. Zbl 1286.82006
Rozikov, U. A.; Khakimov, R. M.
11
2013
On \(q\)-component models on Cayley tree: contour method. Zbl 1076.82509
Rozikov, U. A.
11
2005
On \(p\)-adic Gibbs measures for hard core model on a Cayley tree. Zbl 1281.82006
Gandolfo, Daniel; Rozikov, Utkir A.; Ruiz, Jean
11
2012
On dynamics of \(\ell\)-Volterra quadratic stochastic operators. Zbl 1342.92199
Rozikov, U. A.; Zada, A.
11
2010
Dibaric and evolution algebras in biology. Zbl 1370.17034
Ladra, M.; Omirov, B. A.; Rozikov, U. A.
10
2014
On a nonlinear \(p\)-adic dynamical system. Zbl 1347.37148
Rozikov, U. A.; Sattarov, I. A.
10
2014
Volterra quadratic stochastic operators of a two-sex population. Zbl 1232.47060
Rozikov, U. A.; Zhamilov, U. U.
10
2011
On cubic operators defined on finite-dimensional simplexes. Zbl 1075.37540
Rozikov, U. A.; Khamraev, A. Yu.
10
2004
On real chains of evolution algebras. Zbl 1361.17030
Omirov, B. A.; Rozikov, U. A.; Tulenbayev, K. M.
9
2015
Description of all translation-invariant \(p\)-adic Gibbs measures for the Potts model on a Cayley tree. Zbl 1332.82018
Rozikov, U. A.; Khakimov, O. N.
9
2015
On non-Volterra quadratic stochastic operators generated by a product measure. Zbl 1161.37365
Rozikov, U. A.; Shamsiddinov, N. B.
9
2009
A contour method on Cayley trees. Zbl 1214.82020
Rozikov, U. A.
9
2008
Chain of evolution algebras of “chicken” population. Zbl 1288.17023
Rozikov, U. A.; Murodov, Sh. N.
8
2014
One-dimensional Ising models with long range interactions: cluster expansion, phase-separating point. Zbl 1297.82006
Cassandro, Marzio; Merola, Immacolata; Picco, Pierre; Rozikov, Utkir
8
2014
Gibbs measures for the SOS model with four states on a Cayley tree. Zbl 1177.82031
Rozikov, U. A.; Shoyusupov, Sh. A.
8
2006
Uniqueness of Gibbs measure for models with uncountable set of spin values on a Cayley tree. Zbl 1277.82008
Eshkabilov, Yu. Kh.; Haydarov, F. H.; Rozikov, U. A.
8
2013
Fuzzy transformations and extremality of Gibbs measures for the Potts model on a Cayley tree. Zbl 1368.05068
Külske, Christof; Rozikov, Utkir A.
8
2017
On construction and a class of non-Volterra cubic stochastic operators. Zbl 1322.37018
Rozikov, U. A.; Khamraev, A. Yu.
8
2014
Phase transitions for a model with uncountable set of spin values on a Cayley tree. Zbl 1276.05060
Eshkabilov, Yu. Kh.; Rozikov, U. A.; Botirov, G. I.
7
2013
A description of harmonic functions via properties of the group representation of the Cayley tree. Zbl 1187.43005
Normatov, É. P.; Rozikov, U. A.
7
2006
Extremality of translation-invariant phases for a three-state SOS-model on the binary tree. Zbl 1357.82023
Kuelske, C.; Rozikov, U. A.
7
2015
On disordered phase in the ferromagnetic Potts model on the Bethe lattice. Zbl 0980.82006
Ganikodhjaev, Nasir; Rozikov, Utkir
6
2000
Representability of trees and some of their applications. Zbl 1028.82008
Rozikov, U. A.
6
2002
Gibbs measures on Cayley trees: results and open problems. Zbl 1268.60122
Rozikov, Utkir A.
6
2013
On free energies of the Ising model on the Cayley tree. Zbl 1273.82013
Gandolfo, D.; Rakhmatullaev, M. M.; Rozikov, U. A.; Ruiz, J.
6
2013
Random walks in random media on a Cayley tree. Zbl 0998.60044
Rozikov, U. A.
6
2001
Constrained evolution algebras and dynamical systems of a bisexual population. Zbl 1382.17022
Dzhumadil’daev, A.; Omirov, B. A.; Rozikov, U. A.
6
2016
New phase transitions of the Ising model on Cayley trees. Zbl 1292.82005
Gandolfo, D.; Haydarov, F. H.; Rozikov, U. A.; Ruiz, J.
5
2013
On phase transitions for \(p\)-adic Potts model with competing interactions on a Cayley tree. Zbl 1152.82309
Mukhamedov, F. M.; Rozikov, U. A.; Mendes, J. F. F.
5
2006
Periodic Gibbs measures for models with uncountable set of spin values on a Cayley tree. Zbl 1311.82005
Rozikov, U. A.; Haydarov, F. H.
5
2015
Description of periodic \(p\)-harmonic functions on Cayley tree. Zbl 1188.31004
Rozikov, Utkir A.; Ishankulov, Farruh T.
5
2010
Solvability criteria for the equation \(x^q=a\) in the field of \(p\)-adic numbers. Zbl 1296.11157
Casas, J. M.; Omirov, B. A.; Rozikov, U. A.
5
2014
Description of limit Gibbs measures for \(\lambda\)-models on Bethe lattices. Zbl 1071.82523
Rozikov, U. A.
4
1998
Countably periodic Gibbs measures of the Ising model on the Cayley tree. Zbl 1031.82016
Rozikov, U. A.
4
2002
The uniqueness condition for a weakly periodic Gibbs measure for the hard-core model. Zbl 1282.82017
Rozikov, U. A.; Khakimov, R. M.
4
2012
A new set of limiting Gibbs measures for the Ising model on a Cayley tree. Zbl 1211.82010
Akin, H.; Rozikov, U. A.; Temir, S.
4
2011
On \(l\)-Volterra quadratic stochastic operators. Zbl 1263.47073
Rozikov, U. A.; Zada, A.
4
2009
Potts model with competing interactions on the Cayley tree: The contour method. Zbl 1157.82308
Botirov, G. I.; Rozikov, U. A.
4
2007
Tree-hierarchy of DNA and distribution of Holliday junctions. Zbl 1383.92060
Rozikov, U. A.
4
2017
On a class of evolution algebras of “chicken” population. Zbl 1339.17022
Dzhumadil’daev, A.; Omirov, B. A.; Rozikov, U. A.
4
2014
\(p\)-adic dynamical systems of (2,2)-rational functions with unique fixed point. Zbl 1380.37155
Rozikov, U. A.; Sattarov, I. A.
3
2017
A discrete-time dynamical system and an evolution algebra of mosquito population. Zbl 1409.92210
Rozikov, U. A.; Velasco, M. V.
3
2019
A polynomial \(p\)-adic dynamical system. Zbl 1294.37033
Mukhamedov, F. M.; Rozikov, U. A.
3
2012
Algebras of cubic matrices. Zbl 1369.16030
Ladra, M.; Rozikov, U. A.
3
2017
Boundary conditions for translation-invariant Gibbs measures of the Potts model on Cayley trees. Zbl 1376.82027
Gandolfo, D.; Rahmatullaev, M. M.; Rozikov, U. A.
3
2017
Gibbs measures for the fertile three-state hard-core models on a Cayley tree. Zbl 1369.82010
Rozikov, U. A.; Khakimov, R. M.
3
2015
Flow of finite-dimensional algebras. Zbl 1406.17048
Ladra, M.; Rozikov, U. A.
3
2017
A group representation of the Cayley forest and some of its applications. Zbl 1065.82005
Ganikhodzhaev, N. N.; Rozikov, U. A.
2
2003
Analytic methods in the theory of quantum quadratic stochastic processes. Zbl 1165.81336
Ganikhodjaev, N. N.; Mukhamedov, F. M.; Rozikov, U. A.
2
2000
Separable quadratic stochastic operators. Zbl 1304.37033
Rozikov, U. A.; Nazir, S.
2
2010
On a class of separable quadratic stochastic operators. Zbl 1267.37057
Rozikov, U. A.; Zada, A.
2
2011
Periodic Gibbs measures of the inhomogeneous Ising model on trees. Zbl 1002.82004
Rozikov, U. A.
2
2001
\(p\)-adic dynamical systems of the function \(\frac{ax}{x^2+a}\). Zbl 1441.37105
Rozikov, U. A.; Sattarov, I. A.; Yam, S.
2
2019
Periodic Gibbs measures for the Ising model with competing interactions. Zbl 1178.82019
Nazarov, Kh. A.; Rozikov, U. A.
2
2003
Classification of \(p\)-adic 6-dimensional filiform Leibniz algebras by solutions of \(x^q=a\). Zbl 1272.17007
Ladra, Manuel; Omirov, Bakhrom A.; Rozikov, Utkir A.
2
2013
Holliday junctions for the Potts model of DNA. Zbl 1403.05153
Rozikov, Utkir
2
2018
Ocean ecosystem discrete time dynamics generated by \(\ell\)-Volterra operators. Zbl 07036869
Rozikov, U. A.; Shoyimardonov, S. K.
2
2019
An introduction to mathematical billiards. Zbl 1417.37028
Rozikov, Utkir A.
2
2019
Nonuniqueness of a Gibbs measure for a model on the Cayley tree. Zbl 1274.82025
Rozikov, U. A.; Madgoziev, G. T.
2
2011
On contour arguments for the three state Potts model with competing interactions on a semi-infinite Cayley tree. Zbl 1121.82014
Mukhamedov, Farrukh; Rozikov, Utkir; Mendes, José F. F.
2
2007
Four competing interactions for models with an uncountable set of spin values on a Cayley tree. Zbl 1387.82015
Rozikov, U. A.; Haydarov, F. H.
2
2017
On the uniqueness of Gibbs measure in the Potts model on a Cayley tree with external field. Zbl 1457.82114
Bogachev, Leonid V.; Rozikov, Utkir A.
2
2019
Exact solution of a generalized ANNNI model on a Cayley tree. Zbl 1304.82016
Rozikov, U. A.; Akin, H.; Uğuz, S.
2
2014
Dynamical systems generated by a gonosomal evolution operator. Zbl 1349.37090
Rozikov, Utkir A.; Varro, Richard
2
2016
Dynamics of a population with two equal dominated species. Zbl 1448.37123
Rozikov, U. A.; Usmonov, J. B.
1
2020
A discrete-time dynamical system and an evolution algebra of mosquito population. Zbl 1409.92210
Rozikov, U. A.; Velasco, M. V.
3
2019
\(p\)-adic dynamical systems of the function \(\frac{ax}{x^2+a}\). Zbl 1441.37105
Rozikov, U. A.; Sattarov, I. A.; Yam, S.
2
2019
Ocean ecosystem discrete time dynamics generated by \(\ell\)-Volterra operators. Zbl 07036869
Rozikov, U. A.; Shoyimardonov, S. K.
2
2019
An introduction to mathematical billiards. Zbl 1417.37028
Rozikov, Utkir A.
2
2019
On the uniqueness of Gibbs measure in the Potts model on a Cayley tree with external field. Zbl 1457.82114
Bogachev, Leonid V.; Rozikov, Utkir A.
2
2019
Gradient Gibbs measures for the SOS model with countable values on a Cayley tree. Zbl 1431.82014
Henning, Florian; Külske, Christof; Le Ny, Arnaud; Rozikov, Utkir A.
1
2019
A quasi-strictly non-Volterra quadratic stochastic operator. Zbl 1434.37033
Hardin, A. J. M.; Rozikov, U. A.
1
2019
Holliday junctions for the Potts model of DNA. Zbl 1403.05153
Rozikov, Utkir
2
2018
Fuzzy transformations and extremality of Gibbs measures for the Potts model on a Cayley tree. Zbl 1368.05068
Külske, Christof; Rozikov, Utkir A.
8
2017
Tree-hierarchy of DNA and distribution of Holliday junctions. Zbl 1383.92060
Rozikov, U. A.
4
2017
\(p\)-adic dynamical systems of (2,2)-rational functions with unique fixed point. Zbl 1380.37155
Rozikov, U. A.; Sattarov, I. A.
3
2017
Algebras of cubic matrices. Zbl 1369.16030
Ladra, M.; Rozikov, U. A.
3
2017
Boundary conditions for translation-invariant Gibbs measures of the Potts model on Cayley trees. Zbl 1376.82027
Gandolfo, D.; Rahmatullaev, M. M.; Rozikov, U. A.
3
2017
Flow of finite-dimensional algebras. Zbl 1406.17048
Ladra, M.; Rozikov, U. A.
3
2017
Four competing interactions for models with an uncountable set of spin values on a Cayley tree. Zbl 1387.82015
Rozikov, U. A.; Haydarov, F. H.
2
2017
Construction of a set of \(p\)-adic distributions. Zbl 1387.82028
Rozikov, U. A.; Tugyonov, Z. T.
1
2017
On subalgebras of an evolution algebra of a “chicken” population. Zbl 1430.17105
Omirov, B. A.; Rozikov, U. A.
1
2017
Ising model on Cayley trees: a new class of Gibbs measures and their comparison with known ones. Zbl 1457.82087
Rahmatullaev, M. M.; Rozikov, U. A.
1
2017
Construction of flows of finite-dimensional algebras. Zbl 1421.17007
Ladra, M.; Rozikov, U. A.
1
2017
Constrained evolution algebras and dynamical systems of a bisexual population. Zbl 1382.17022
Dzhumadil’daev, A.; Omirov, B. A.; Rozikov, U. A.
6
2016
Dynamical systems generated by a gonosomal evolution operator. Zbl 1349.37090
Rozikov, Utkir A.; Varro, Richard
2
2016
On real chains of evolution algebras. Zbl 1361.17030
Omirov, B. A.; Rozikov, U. A.; Tulenbayev, K. M.
9
2015
Description of all translation-invariant \(p\)-adic Gibbs measures for the Potts model on a Cayley tree. Zbl 1332.82018
Rozikov, U. A.; Khakimov, O. N.
9
2015
Extremality of translation-invariant phases for a three-state SOS-model on the binary tree. Zbl 1357.82023
Kuelske, C.; Rozikov, U. A.
7
2015
Periodic Gibbs measures for models with uncountable set of spin values on a Cayley tree. Zbl 1311.82005
Rozikov, U. A.; Haydarov, F. H.
5
2015
Gibbs measures for the fertile three-state hard-core models on a Cayley tree. Zbl 1369.82010
Rozikov, U. A.; Khakimov, R. M.
3
2015
On evolution algebras. Zbl 1367.17026
Casas, J. M.; Ladra, M.; Omirov, B. A.; Rozikov, U. A.
31
2014
Description of the translation-invariant splitting Gibbs measures for the Potts model on a Cayley tree. Zbl 1298.82022
Külske, C.; Rozikov, U. A.; Khakimov, R. M.
22
2014
An evolution algebra in population genetics. Zbl 1292.17030
Labra, A.; Ladra, M.; Rozikov, U. A.
17
2014
Dibaric and evolution algebras in biology. Zbl 1370.17034
Ladra, M.; Omirov, B. A.; Rozikov, U. A.
10
2014
On a nonlinear \(p\)-adic dynamical system. Zbl 1347.37148
Rozikov, U. A.; Sattarov, I. A.
10
2014
Chain of evolution algebras of “chicken” population. Zbl 1288.17023
Rozikov, U. A.; Murodov, Sh. N.
8
2014
One-dimensional Ising models with long range interactions: cluster expansion, phase-separating point. Zbl 1297.82006
Cassandro, Marzio; Merola, Immacolata; Picco, Pierre; Rozikov, Utkir
8
2014
On construction and a class of non-Volterra cubic stochastic operators. Zbl 1322.37018
Rozikov, U. A.; Khamraev, A. Yu.
8
2014
Solvability criteria for the equation \(x^q=a\) in the field of \(p\)-adic numbers. Zbl 1296.11157
Casas, J. M.; Omirov, B. A.; Rozikov, U. A.
5
2014
On a class of evolution algebras of “chicken” population. Zbl 1339.17022
Dzhumadil’daev, A.; Omirov, B. A.; Rozikov, U. A.
4
2014
Exact solution of a generalized ANNNI model on a Cayley tree. Zbl 1304.82016
Rozikov, U. A.; Akin, H.; Uğuz, S.
2
2014
Normal subgroups of finite index for the group representation of the Cayley tree. Zbl 1317.20028
Rozikov, U. A.; Haydarov, F. H.
1
2014
Gibbs measures on Cayley trees. Zbl 1278.82002
Rozikov, Utkir A.
77
2013
Evolution algebra of a bisexual population. Zbl 1293.17041
Ladra, M.; Rozikov, U. A.
19
2013
On nilpotent index and dibaricity of evolution algebras. Zbl 1343.17021
Casas, J. M.; Ladra, Manuel; Omirov, B. A.; Rozikov, U. A.
14
2013
\(p\)-adic \((2,1)\)-rational dynamical systems. Zbl 1302.37056
Albeverio, S.; Rozikov, U. A.; Sattarov, I. A.
13
2013
Dynamics of two-dimensional evolution algebras. Zbl 1297.37011
Rozikov, U. A.; Murodov, Sh. N.
12
2013
\(p\)-adic Gibbs measures and Markov random fields on countable graphs. Zbl 1286.82013
Rozikov, U. A.; Khakimov, O. N.
11
2013
Periodic Gibbs measures for the Potts model on the Cayley tree. Zbl 1286.82006
Rozikov, U. A.; Khakimov, R. M.
11
2013
Uniqueness of Gibbs measure for models with uncountable set of spin values on a Cayley tree. Zbl 1277.82008
Eshkabilov, Yu. Kh.; Haydarov, F. H.; Rozikov, U. A.
8
2013
Phase transitions for a model with uncountable set of spin values on a Cayley tree. Zbl 1276.05060
Eshkabilov, Yu. Kh.; Rozikov, U. A.; Botirov, G. I.
7
2013
Gibbs measures on Cayley trees: results and open problems. Zbl 1268.60122
Rozikov, Utkir A.
6
2013
On free energies of the Ising model on the Cayley tree. Zbl 1273.82013
Gandolfo, D.; Rakhmatullaev, M. M.; Rozikov, U. A.; Ruiz, J.
6
2013
New phase transitions of the Ising model on Cayley trees. Zbl 1292.82005
Gandolfo, D.; Haydarov, F. H.; Rozikov, U. A.; Ruiz, J.
5
2013
Classification of \(p\)-adic 6-dimensional filiform Leibniz algebras by solutions of \(x^q=a\). Zbl 1272.17007
Ladra, Manuel; Omirov, Bakhrom A.; Rozikov, Utkir A.
2
2013
Non-uniqueness of Gibbs measure for models with uncountable set of spin values on a Cayley tree. Zbl 1252.82026
Eshkabilov, Y. K.; Haydarov, F. H.; Rozikov, U. A.
13
2012
On \(p\)-adic Gibbs measures for hard core model on a Cayley tree. Zbl 1281.82006
Gandolfo, Daniel; Rozikov, Utkir A.; Ruiz, Jean
11
2012
The uniqueness condition for a weakly periodic Gibbs measure for the hard-core model. Zbl 1282.82017
Rozikov, U. A.; Khakimov, R. M.
4
2012
A polynomial \(p\)-adic dynamical system. Zbl 1294.37033
Mukhamedov, F. M.; Rozikov, U. A.
3
2012
Quadratic stochastic operators and processes: results and open problems. Zbl 1242.60067
Ganikhodzhaev, Rasul; Mukhamedov, Farrukh; Rozikov, Utkir
67
2011
A chain of evolution algebras. Zbl 1220.17026
Casas, J. M.; Ladra, M.; Rozikov, U. A.
22
2011
Evolution algebras generated by Gibbs measures. Zbl 1260.46031
Rozikov, U. A.; Tian, J. P.
14
2011
Volterra quadratic stochastic operators of a two-sex population. Zbl 1232.47060
Rozikov, U. A.; Zhamilov, U. U.
10
2011
A new set of limiting Gibbs measures for the Ising model on a Cayley tree. Zbl 1211.82010
Akin, H.; Rozikov, U. A.; Temir, S.
4
2011
On a class of separable quadratic stochastic operators. Zbl 1267.37057
Rozikov, U. A.; Zada, A.
2
2011
Nonuniqueness of a Gibbs measure for a model on the Cayley tree. Zbl 1274.82025
Rozikov, U. A.; Madgoziev, G. T.
2
2011
System of recursive equations for the partition functions of 1D models. Zbl 1257.82030
Rozikov, U. A.
1
2011
On models with uncountable set of spin values on a Cayley tree: integral equations. Zbl 1252.82034
Rozikov, Utkir A.; Eshkobilov, Yusup Kh.
12
2010
On dynamics of \(\ell\)-Volterra quadratic stochastic operators. Zbl 1342.92199
Rozikov, U. A.; Zada, A.
11
2010
Description of periodic \(p\)-harmonic functions on Cayley tree. Zbl 1188.31004
Rozikov, Utkir A.; Ishankulov, Farruh T.
5
2010
Separable quadratic stochastic operators. Zbl 1304.37033
Rozikov, U. A.; Nazir, S.
2
2010
Description of \(p\)-harmonic functions on the Cayley tree. Zbl 1200.35310
Rozikov, U. A.; Ishankulov, F. T.
1
2010
The dynamics of strictly non-Volterra quadratic stochastic operators on the 2-simplex. Zbl 1194.47077
Zhamilov, U. U.; Rozikov, U. A.
20
2009
Weakly periodic ground states and Gibbs measures for the Ising model with competing interactions on the Cayley tree. Zbl 1180.82034
Rozikov, U. A.; Rakhmatullaev, M. M.
16
2009
On Ising model with four competing interactions on Cayley tree. Zbl 1185.60112
Ganikhodjaev, N. N.; Rozikov, U. A.
15
2009
On non-Volterra quadratic stochastic operators generated by a product measure. Zbl 1161.37365
Rozikov, U. A.; Shamsiddinov, N. B.
9
2009
On \(l\)-Volterra quadratic stochastic operators. Zbl 1263.47073
Rozikov, U. A.; Zada, A.
4
2009
\(F\)-quadratic stochastic operators. Zbl 1167.92023
Rozikov, U. A.; Zhamilov, U. U.
23
2008
Description of weakly periodic Gibbs measures for the Ising model on a Cayley tree. Zbl 1157.82311
Rozikov, U. A.; Rakhmatullaev, M. M.
16
2008
Fertile HC models with three states on a Cayley tree. Zbl 1157.82312
Rozikov, U. A.; Shoyusupov, Sh. A.
11
2008
A contour method on Cayley trees. Zbl 1214.82020
Rozikov, U. A.
9
2008
Potts model with competing interactions on the Cayley tree: The contour method. Zbl 1157.82308
Botirov, G. I.; Rozikov, U. A.
4
2007
On contour arguments for the three state Potts model with competing interactions on a semi-infinite Cayley tree. Zbl 1121.82014
Mukhamedov, Farrukh; Rozikov, Utkir; Mendes, José F. F.
2
2007
The Potts model with countable set of spin values on a Cayley tree. Zbl 1101.82003
Ganikhodjaev, N. N.; Rozikov, U. A.
26
2006
Gibbs measures for SOS models on a Cayley tree. Zbl 1106.60081
Rozikov, U. A.; Suhov, Y. M.
19
2006
A constructive description of ground states and Gibbs measures for Ising model with two-step interactions on Cayley tree. Zbl 1149.82008
Rozikov, U. A.
11
2006
On quadratic stochastic operators generated by Gibbs distributions. Zbl 1164.37309
Ganikhodzhaev, N. N.; Rozikov, U. A.
11
2006
Gibbs measures for the SOS model with four states on a Cayley tree. Zbl 1177.82031
Rozikov, U. A.; Shoyusupov, Sh. A.
8
2006
A description of harmonic functions via properties of the group representation of the Cayley tree. Zbl 1187.43005
Normatov, É. P.; Rozikov, U. A.
7
2006
On phase transitions for \(p\)-adic Potts model with competing interactions on a Cayley tree. Zbl 1152.82309
Mukhamedov, F. M.; Rozikov, U. A.; Mendes, J. F. F.
5
2006
On \(q\)-component models on the Cayley tree: the general case. Zbl 1456.82096
Botirov, G. I.; Rozikov, U. A.
1
2006
On inhomogeneous \(p\)-adic Potts model on a Cayley tree. Zbl 1096.82007
Mukhamedov, Farrukh; Rozikov, Utkir
26
2005
A three state hard-core model on a Cayley tree. Zbl 1171.82308
Martin, James; Rozikov, Utkir; Suhov, Yuri
18
2005
On Gibbs measures of models with competing ternary and binary interactions and corresponding von Neumann algebras. II. Zbl 1071.82017
Mukhamedov, Farruh; Rozikov, Utkir
17
2005
On \(q\)-component models on Cayley tree: contour method. Zbl 1076.82509
Rozikov, U. A.
11
2005
On Gibbs measures of \(p\)-adic Potts model on the Cayley tree. Zbl 1161.82311
Mukhamedov, Farruh M.; Rozikov, Utkir A.
35
2004
A hard-core model on a Cayley tree: an example of a loss network. Zbl 1139.90338
Suhov, Y.; Rozikov, U. A.
32
2004
On Gibbs measures of models with competing ternary and binary interactions and corresponding von Neumann algebras. Zbl 1061.82007
Mukhamedov, Farruh; Rozikov, Utkir
25
2004
On rational \(p\)-adic dynamical systems. Zbl 1053.37022
Mukhamedov, Farruh; Rozikov, Utkir
17
2004
On the uniqueness of Gibbs measures for \(p\)-adic nonhomogeneous \({\lambda}\)-model on the Cayley tree. Zbl 1065.46057
Khamraev, Murod; Mukhamedov, Farruh; Rozikov, Utkir
11
2004
On cubic operators defined on finite-dimensional simplexes. Zbl 1075.37540
Rozikov, U. A.; Khamraev, A. Yu.
10
2004
A group representation of the Cayley forest and some of its applications. Zbl 1065.82005
Ganikhodzhaev, N. N.; Rozikov, U. A.
2
2003
Periodic Gibbs measures for the Ising model with competing interactions. Zbl 1178.82019
Nazarov, Kh. A.; Rozikov, U. A.
2
2003
...and 15 more Documents
all top 5

Cited by 218 Authors

91 Rozikov, Utkir A.
72 Mukhamedov, Farruh Maksutovich
19 Khakimov, Otabek N.
18 Jamilov, Uygun U.
17 Ladra González, Manuel
16 Omirov, Bakhrom A.
15 Rahmatullaev, Muzaffar
15 Saburov, Mansoor
12 Ganikhodjaev, Nasir Nabievich
10 Botirov, Golibjon I.
8 Paniello, Irene
8 Qaralleh, Izzat
7 Akin, Hasan
7 Embong, Ahmad Fadillah
7 Haydarov, Farhod Halimjonovich
7 Souissi, Abdessatar
6 Külske, Christof
6 Sattarov, Iskandar A.
6 Velasco, Maria Victoria
5 Cabrera Casado, Yolanda
5 Eshkabilov, Yusup Khalbaevich
5 Gandolfo, Daniel
5 Ganikhodzhaev, Rasul N.
5 Khatamov, N. M.
5 Liao, Lingmin
5 Siles Molina, Mercedes
4 Bissacot, Rodrigo
4 Casas Miras, José Manuel
4 Endo, Eric Ossami
4 Fan, Shilei
4 Pah, Chin Hee
4 Pułka, Małgorzata
4 Rasulova, M. A.
4 Ruiz, Jean
4 Saburov, Mansur Kh.
4 van Enter, Aernout C. D.
3 Accardi, Luigi
3 Ahmad, Mohd Ali Khameini
3 Barhoumi, Abdessatar
3 Bartoszek, Krzysztof
3 El Gheteb, Soueidy
3 Khamraev, Murod
3 Khrennikov, Andreĭ Yur’evich
3 Khudoyberdiyev, Abror Kh.
3 Mukhitdinov, R. T.
3 Murodov, Sherzod Normonovich
3 Pirnapasov, Abror T.
3 Scheutzow, Michael K. R.
3 Shahidi, Farruh
3 Tugyonov, Zohid T.
2 Cadavid, Paula
2 Camacho, Luisa Maria
2 Doğan, Mutlay
2 Dragovich, Branko
2 Dzhumadil’daev, Askar Serkulovich
2 Falcón Ganfornina, Óscar Jesús
2 Falcón Ganfornina, Raúl Manuel
2 Fan, Ai Hua
2 Hu, Yueyun
2 Ishankulov, Farruh T.
2 Jahnel, Benedikt
2 Kozyrev, Sergeĭ Vladimirovich
2 Labra, Alicia
2 Le Ny, Arnaud
2 Madgoziev, G. T.
2 Mendes, José F. F.
2 Nodirov, Shohruh Dilmurodovich
2 Núñez-Valdés, Juan
2 Ouattara, Moussa
2 Picco, Pierre
2 Reinfelds, Andrejs
2 Rodiño Montoya, Mary Luz
2 Rodríguez, Pablo M.
2 Savadogo, Souleymane
2 Shi, Zhan
2 Shlosman, Senya B.
2 Shoyusupov, Sh. A.
2 Suhov, Yurii Mikhailovich
2 Temir, Seyit
2 Volovich, Igor’ Vasil’evich
2 Wang, Yuefei
2 Zada, Akbar
2 Zhamilov, U. U.
1 Abdalrhman Mohammed, Sarra
1 Abdelwahab, Hani
1 Abduganiev, Abduaziz
1 Abdulghafor, Rawad
1 Abraev, B. U.
1 Abu Osman, M. T.
1 Ahmad, Muhammad Zaini
1 Ahmed, Houida
1 Akhtamaliyev, Shamshod A.
1 Al-Kaseasbeh, Saba
1 Al-Shutnawi, Basma
1 Albeverio, Sergio A.
1 Alon, Noga M.
1 Alsarayreh, Abdelwahab
1 Alves, Rogério Gomes
1 Andreoletti, Pierre
1 Ashwinkumar, Meer
...and 118 more Authors
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Cited in 98 Serials

43 Theoretical and Mathematical Physics
21 Journal of Statistical Physics
15 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
14 Linear Algebra and its Applications
12 Lobachevskii Journal of Mathematics
11 Mathematical Physics, Analysis and Geometry
10 Mathematical Notes
9 Linear and Multilinear Algebra
9 Qualitative Theory of Dynamical Systems
7 Journal of Algebra and its Applications
6 Journal of Mathematical Physics
6 Positivity
6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
6 Journal of Siberian Federal University. Mathematics & Physics
5 Letters in Mathematical Physics
5 Reports on Mathematical Physics
5 Ukrainian Mathematical Journal
5 Journal of Algebra
5 Journal of Difference Equations and Applications
5 Infinite Dimensional Analysis, Quantum Probability and Related Topics
5 Journal of Statistical Mechanics: Theory and Experiment
4 Journal of Mathematical Analysis and Applications
4 Journal of Mathematical Biology
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Siberian Mathematical Journal
3 Communications in Algebra
3 Annales Henri Poincaré
3 Proceedings of the Steklov Institute of Mathematics
2 Communications in Mathematical Physics
2 Nonlinearity
2 Chaos, Solitons and Fractals
2 Results in Mathematics
2 Ergodic Theory and Dynamical Systems
2 Stochastic Analysis and Applications
2 International Journal of Mathematics
2 Algebra Colloquium
2 Discrete and Continuous Dynamical Systems
2 Abstract and Applied Analysis
2 Journal of Inequalities and Applications
2 Algebras and Representation Theory
1 International Journal of Modern Physics B
1 Archive for Rational Mechanics and Analysis
1 International Journal of Theoretical Physics
1 Bulletin of Mathematical Biology
1 Reviews in Mathematical Physics
1 Advances in Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 The Annals of Probability
1 Applied Mathematics and Computation
1 Journal of Differential Equations
1 Journal of Number Theory
1 Statistics & Probability Letters
1 Acta Applicandae Mathematicae
1 Probability Theory and Related Fields
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1 Applied Mathematics Letters
1 Queueing Systems
1 Random Structures & Algorithms
1 Stochastic Processes and their Applications
1 Indagationes Mathematicae. New Series
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Russian Mathematics
1 Journal of Algebraic Combinatorics
1 Journal of Mathematical Sciences (New York)
1 Computational and Applied Mathematics
1 Fractals
1 NoDEA. Nonlinear Differential Equations and Applications
1 Journal of Convex Analysis
1 Electronic Journal of Probability
1 Izvestiya: Mathematics
1 Doklady Mathematics
1 Open Systems & Information Dynamics
1 Journal for Geometry and Graphics
1 Revista Matemática Complutense
1 Matematicheskie Trudy
1 Journal of High Energy Physics
1 Journal of Nonlinear Mathematical Physics
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms
1 Dynamical Systems
1 Stochastic Models
1 JP Journal of Algebra, Number Theory and Applications
1 Stochastics and Dynamics
1 Central European Journal of Mathematics
1 International Journal of Geometric Methods in Modern Physics
1 Advances in Difference Equations
1 International Journal of Number Theory
1 Journal of Physics A: Mathematical and Theoretical
1 Banach Journal of Mathematical Analysis
1 International Journal of Biomathematics
1 Journal of Nonlinear Science and Applications
1 Science China. Mathematics
1 TWMS Journal of Pure and Applied Mathematics
1 Journal of Spectral Theory
1 Journal of Mathematics and Computer Science. JMCS
1 Mathematics
1 The Scientific World Journal. Probability and Statistics
1 Open Mathematics
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Cited in 38 Fields

152 Statistical mechanics, structure of matter (82-XX)
99 Probability theory and stochastic processes (60-XX)
74 Combinatorics (05-XX)
70 Dynamical systems and ergodic theory (37-XX)
51 Nonassociative rings and algebras (17-XX)
48 Biology and other natural sciences (92-XX)
45 Operator theory (47-XX)
30 Functional analysis (46-XX)
24 Number theory (11-XX)
14 Linear and multilinear algebra; matrix theory (15-XX)
11 Field theory and polynomials (12-XX)
11 Quantum theory (81-XX)
9 Difference and functional equations (39-XX)
8 Associative rings and algebras (16-XX)
6 Group theory and generalizations (20-XX)
5 Computer science (68-XX)
4 Ordinary differential equations (34-XX)
4 Partial differential equations (35-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Real functions (26-XX)
3 Measure and integration (28-XX)
3 Potential theory (31-XX)
2 Algebraic geometry (14-XX)
2 Integral transforms, operational calculus (44-XX)
1 General and overarching topics; collections (00-XX)
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1 Functions of a complex variable (30-XX)
1 Approximations and expansions (41-XX)
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1 Integral equations (45-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Mechanics of particles and systems (70-XX)
1 Relativity and gravitational theory (83-XX)
1 Operations research, mathematical programming (90-XX)
1 Information and communication theory, circuits (94-XX)

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