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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; Rozikov, U.
External Links: Math-Net.Ru
all top 5

Co-Authors

30 single-authored
17 Ganikhodjaev, Nasir Nabievich
17 Mukhamedov, Farruh Maksutovich
12 Ladra González, Manuel
11 Khakimov, Rustam M.
11 Omirov, Bakhrom A.
9 Haydarov, Farhod Halimjonovich
8 Rahmatullaev, Muzaffar
8 Sattarov, Iskandar A.
6 Gandolfo, Daniel
5 Casas Miras, José Manuel
5 Külske, Christof
5 Ruiz, Jean
5 Shoyimardonov, Sobirjon K.
4 Botirov, Golibjon I.
4 Boxonov, Zafar Saydimahmudovich
4 Zada, Akbar
3 Absalamov, Akmal T.
3 Eshkabilov, Yusup Khalbaevich
3 Makhammadaliev, Mukhtorjon Tursunmukhammad o’g’li
3 Shoyusupov, Sh. A.
3 Suhov, Yurii Mikhailovich
3 Varro, Richard
3 Velasco, Maria Victoria
3 Zhamilov, U. U.
2 Akin, Hasan
2 Albeverio, Sergio A.
2 Diyorov, A. M.
2 Dzhumadil’daev, Askar Serkulovich
2 Ganikhodzhaev, Rasul N.
2 Ishankulov, Farruh T.
2 Jahnel, Benedikt
2 Jamilov, Uygun U.
2 Khakimov, Otabek N.
2 Khamraev, A. Yu.
2 Khatamov, Nosir Muĭdinovich
2 Le Ny, Arnaud
2 Mamurov, B. J.
2 Mendes, José F. F.
2 Murodov, Sherzod Normonovich
2 Narkuziev, B. A.
2 Olimov, U. R.
2 Usmonov, J. B.
2 Xudayarov, S. S.
1 Abdurakhimova, Sh. B.
1 Aliev, E. T.
1 Bogachev, Leonid V.
1 Cassandro, Marzio
1 Castaños, Octavio
1 Eshkobilov, Yusup Kh.
1 Hardin, A. J. M.
1 Henning, Florian
1 Hiroshima, Fumio
1 Ibragimov, Zair
1 Imomkulov, A. N.
1 Karimov, M. M.
1 Khaidarov, F. Kh.
1 Khamraev, Murod
1 Kissel, Sascha
1 Labra, Alicia
1 Levenberg, Norman jun.
1 Liao, Lingmin
1 Lörinczi, József
1 Luna, A. R.
1 Madgoziev, G. T.
1 Martin, James Benedict
1 Merola, Immacolata
1 Nazarov, Kh. A.
1 Normatov, É. P.
1 Pah, Chin Hee
1 Picco, Pierre
1 Rakhmatullaev, A. M.
1 Sadullaev, Azimbaĭ Sadullaevich
1 Sayitova, M.
1 Shamsiddinov, N. B.
1 Solaeva, M. N.
1 Temir, Seyit
1 Tian, Jianjun Paul
1 Tugyonov, Zohid T.
1 Tukhtabaev, A. M.
1 Tulenbaev, K. M.
1 Uǧuz, Selman
1 Yam, S.
all top 5

Serials

27 Theoretical and Mathematical Physics
12 Journal of Statistical Physics
9 Lobachevskii Journal of Mathematics
6 Mathematical Notes
6 Linear Algebra and its Applications
5 Mathematical Physics, Analysis and Geometry
5 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
5 Uzbek Mathematical Journal
4 Letters in Mathematical Physics
4 Journal of Algebra
4 Markov Processes and Related Fields
4 Infinite Dimensional Analysis, Quantum Probability and Related Topics
3 Linear and Multilinear Algebra
3 Reports on Mathematical Physics
3 Reviews in Mathematical Physics
3 Uzbekskiĭ Matematicheskiĭ Zhurnal
3 Qualitative Theory of Dynamical Systems
3 Journal of Statistical Mechanics: Theory and Experiment
3 International Journal of Biomathematics
3 Journal of Applied Nonlinear Dynamics
2 Journal of Mathematical Biology
2 Ukraïns’kyĭ Matematychnyĭ Zhurnal
2 Results in Mathematics
2 Queueing Systems
2 Algebra Colloquium
2 Sbornik: Mathematics
2 Doklady Akademii Nauk Respubliki Uzbekistan. Matematika, Tekhnicheskie Nauki, Estestvoznanie
2 International Journal of Geometric Methods in Modern Physics
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 Russian Mathematical Surveys
1 Ukrainian Mathematical Journal
1 Chaos, Solitons and Fractals
1 Osaka Journal of 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 Journal of Mathematical Sciences (New York)
1 NoDEA. Nonlinear Differential Equations and Applications
1 Journal of Difference 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 Annals of Functional Analysis
1 Springer Proceedings in Mathematics & Statistics
1 Journal of Algebra and Related Topics
1 Russian Journal of Nonlinear Dynamics

Publications by Year

Citations contained in zbMATH Open

142 Publications have been cited 1,944 times in 506 Documents Cited by Year
Gibbs measures on Cayley trees. Zbl 1278.82002
Rozikov, Utkir A.
143
2013
Quadratic stochastic operators and processes: results and open problems. Zbl 1242.60067
Ganikhodzhaev, Rasul; Mukhamedov, Farrukh; Rozikov, Utkir
121
2011
Description of periodic extreme Gibbs measures of some lattice models on the Cayley tree. Zbl 0964.82504
Ganikhodzhaev, N. N.; Rozikov, U. A.
69
1997
On Gibbs measures of \(p\)-adic Potts model on the Cayley tree. Zbl 1161.82311
Mukhamedov, Farruh M.; Rozikov, Utkir A.
47
2004
On evolution algebras. Zbl 1367.17026
Casas, J. M.; Ladra, M.; Omirov, B. A.; Rozikov, U. A.
46
2014
The dynamics of strictly non-Volterra quadratic stochastic operators on the 2-simplex. Zbl 1194.47077
Zhamilov, U. U.; Rozikov, U. A.
44
2009
\(F\)-quadratic stochastic operators. Zbl 1167.92023
Rozikov, U. A.; Zhamilov, U. U.
42
2008
The Potts model with countable set of spin values on a Cayley tree. Zbl 1101.82003
Ganikhodjaev, N. N.; Rozikov, U. A.
39
2006
A hard-core model on a Cayley tree: an example of a loss network. Zbl 1139.90338
Suhov, Y.; Rozikov, U. A.
39
2004
On inhomogeneous \(p\)-adic Potts model on a Cayley tree. Zbl 1096.82007
Mukhamedov, Farrukh; Rozikov, Utkir
37
2005
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.
37
2014
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.
36
1997
A chain of evolution algebras. Zbl 1220.17026
Casas, J. M.; Ladra, M.; Rozikov, U. A.
34
2011
On Gibbs measures of models with competing ternary and binary interactions and corresponding von Neumann algebras. Zbl 1061.82007
Mukhamedov, Farruh; Rozikov, Utkir
34
2004
Evolution algebra of a bisexual population. Zbl 1293.17041
Ladra, M.; Rozikov, U. A.
32
2013
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.
29
2009
Description of weakly periodic Gibbs measures for the Ising model on a Cayley tree. Zbl 1157.82311
Rozikov, U. A.; Rakhmatullaev, M. M.
27
2008
Volterra quadratic stochastic operators of a two-sex population. Zbl 1232.47060
Rozikov, U. A.; Zhamilov, U. U.
27
2011
Gibbs measures for SOS models on a Cayley tree. Zbl 1106.60081
Rozikov, U. A.; Suhov, Y. M.
26
2006
A three state hard-core model on a Cayley tree. Zbl 1171.82308
Martin, James; Rozikov, Utkir; Suhov, Yuri
23
2005
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.
23
2002
An evolution algebra in population genetics. Zbl 1292.17030
Labra, A.; Ladra, M.; Rozikov, U. A.
22
2014
On rational \(p\)-adic dynamical systems. Zbl 1053.37022
Mukhamedov, Farruh; Rozikov, Utkir
21
2004
On nilpotent index and dibaricity of evolution algebras. Zbl 1343.17021
Casas, J. M.; Ladra, Manuel; Omirov, B. A.; Rozikov, U. A.
21
2013
Periodic Gibbs measures for the Potts model on the Cayley tree. Zbl 1286.82006
Rozikov, U. A.; Khakimov, R. M.
21
2013
Evolution algebras generated by Gibbs measures. Zbl 1260.46031
Rozikov, U. A.; Tian, J. P.
21
2011
On Gibbs measures of models with competing ternary and binary interactions and corresponding von Neumann algebras. II. Zbl 1071.82017
Mukhamedov, Farruh; Rozikov, Utkir
19
2005
Fuzzy transformations and extremality of Gibbs measures for the Potts model on a Cayley tree. Zbl 1368.05068
Külske, Christof; Rozikov, Utkir A.
19
2017
Dynamics of two-dimensional evolution algebras. Zbl 1297.37011
Rozikov, U. A.; Murodov, Sh. N.
19
2013
Construction of an uncountable number of limiting Gibbs measures in the inhomogeneous Ising model. Zbl 0957.82007
Rozikov, U. A.
18
1999
On Ising model with four competing interactions on Cayley tree. Zbl 1185.60112
Ganikhodjaev, N. N.; Rozikov, U. A.
18
2009
On cubic operators defined on finite-dimensional simplexes. Zbl 1075.37540
Rozikov, U. A.; Khamraev, A. Yu.
18
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.
18
2006
On dynamics of \(\ell\)-Volterra quadratic stochastic operators. Zbl 1342.92199
Rozikov, U. A.; Zada, A.
18
2010
On \(p\)-adic Gibbs measures for hard core model on a Cayley tree. Zbl 1281.82006
Gandolfo, Daniel; Rozikov, Utkir A.; Ruiz, Jean
18
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.
17
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.
17
2012
Fertile HC models with three states on a Cayley tree. Zbl 1157.82312
Rozikov, U. A.; Shoyusupov, Sh. A.
17
2008
A contour method on Cayley trees. Zbl 1214.82020
Rozikov, U. A.
17
2008
On \(q\)-component models on Cayley tree: contour method. Zbl 1076.82509
Rozikov, U. A.
17
2005
\(p\)-adic \((2,1)\)-rational dynamical systems. Zbl 1302.37056
Albeverio, S.; Rozikov, U. A.; Sattarov, I. A.
17
2013
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.
17
2019
\(p\)-adic Gibbs measures and Markov random fields on countable graphs. Zbl 1286.82013
Rozikov, U. A.; Khakimov, O. N.
16
2013
On construction and a class of non-Volterra cubic stochastic operators. Zbl 1322.37018
Rozikov, U. A.; Khamraev, A. Yu.
15
2014
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.
15
2019
An introduction to mathematical billiards. Zbl 1417.37028
Rozikov, Utkir A.
14
2019
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
14
2004
On models with uncountable set of spin values on a Cayley tree: integral equations. Zbl 1252.82034
Rozikov, Utkir A.; Eshkobilov, Yusup Kh.
14
2010
Potts model with competing interactions on the Cayley tree: The contour method. Zbl 1157.82308
Botirov, G. I.; Rozikov, U. A.
14
2007
On free energies of the Ising model on the Cayley tree. Zbl 1273.82013
Gandolfo, D.; Rakhmatullaev, M. M.; Rozikov, U. A.; Ruiz, J.
14
2013
On quadratic stochastic operators generated by Gibbs distributions. Zbl 1164.37309
Ganikhodzhaev, N. N.; Rozikov, U. A.
13
2006
On non-Volterra quadratic stochastic operators generated by a product measure. Zbl 1161.37365
Rozikov, U. A.; Shamsiddinov, N. B.
13
2009
On real chains of evolution algebras. Zbl 1361.17030
Omirov, B. A.; Rozikov, U. A.; Tulenbayev, K. M.
13
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.
13
2015
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.
13
2013
Chain of evolution algebras of “chicken” population. Zbl 1288.17023
Rozikov, U. A.; Murodov, Sh. N.
13
2014
On a nonlinear \(p\)-adic dynamical system. Zbl 1347.37148
Rozikov, U. A.; Sattarov, I. A.
12
2014
Gibbs measures for the SOS model with four states on a Cayley tree. Zbl 1177.82031
Rozikov, U. A.; Shoyusupov, Sh. A.
12
2006
Extremality of translation-invariant phases for a three-state SOS-model on the binary tree. Zbl 1357.82023
Kuelske, C.; Rozikov, U. A.
12
2015
Dibaric and evolution algebras in biology. Zbl 1370.17034
Ladra, M.; Omirov, B. A.; Rozikov, U. A.
11
2014
Constrained evolution algebras and dynamical systems of a bisexual population. Zbl 1382.17022
Dzhumadil’daev, A.; Omirov, B. A.; Rozikov, U. A.
11
2016
Ocean ecosystem discrete time dynamics generated by \(\ell\)-Volterra operators. Zbl 1490.92131
Rozikov, U. A.; Shoyimardonov, S. K.
10
2019
Gibbs measures on Cayley trees: results and open problems. Zbl 1268.60122
Rozikov, Utkir A.
10
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.
9
2006
Description of limit Gibbs measures for \(\lambda\)-models on Bethe lattices. Zbl 1071.82523
Rozikov, U. A.
9
1998
Periodic Gibbs measures for models with uncountable set of spin values on a Cayley tree. Zbl 1311.82005
Rozikov, U. A.; Haydarov, F. H.
9
2015
One-dimensional Ising models with long range interactions: cluster expansion, phase-separating point. Zbl 1297.82006
Cassandro, Marzio; Merola, Immacolata; Picco, Pierre; Rozikov, Utkir
9
2014
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.
8
2006
Gibbs measures for the fertile three-state hard-core models on a Cayley tree. Zbl 1369.82010
Rozikov, U. A.; Khakimov, R. M.
8
2015
Flow of finite-dimensional algebras. Zbl 1406.17048
Ladra, M.; Rozikov, U. A.
8
2017
Dynamical systems generated by a gonosomal evolution operator. Zbl 1349.37090
Rozikov, Utkir A.; Varro, Richard
8
2016
New phase transitions of the Ising model on Cayley trees. Zbl 1292.82005
Gandolfo, D.; Haydarov, F. H.; Rozikov, U. A.; Ruiz, J.
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.
8
2013
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.
7
2007
On disordered phase in the ferromagnetic Potts model on the Bethe lattice. Zbl 0980.82006
Ganikodhjaev, Nasir; Rozikov, Utkir
7
2000
Random walks in random media on a Cayley tree. Zbl 0998.60044
Rozikov, U. A.
7
2001
Description of periodic \(p\)-harmonic functions on Cayley tree. Zbl 1188.31004
Rozikov, Utkir A.; Ishankulov, Farruh T.
7
2010
A discrete-time dynamical system and an evolution algebra of mosquito population. Zbl 1409.92210
Rozikov, U. A.; Velasco, M. V.
7
2019
\(p\)-adic dynamical systems of (2,2)-rational functions with unique fixed point. Zbl 1380.37155
Rozikov, U. A.; Sattarov, I. A.
7
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.
7
2017
Tree-hierarchy of DNA and distribution of Holliday junctions. Zbl 1383.92060
Rozikov, U. A.
7
2017
Holliday junctions for the Potts model of DNA. Zbl 1403.05153
Rozikov, Utkir
6
2018
Representability of trees and some of their applications. Zbl 1028.82008
Rozikov, U. A.
6
2002
On a class of evolution algebras of “chicken” population. Zbl 1339.17022
Dzhumadil’daev, A.; Omirov, B. A.; Rozikov, U. A.
6
2014
Exact solution of a generalized ANNNI model on a Cayley tree. Zbl 1304.82016
Rozikov, U. A.; Akin, H.; Uğuz, S.
6
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.
6
2014
Extremality of the translation-invariant Gibbs measures for the Potts model on the Cayley tree. Zbl 1401.82009
Rozikov, U. A.; Khakimov, R. M.; Khaidarov, F. Kh.
6
2018
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.
6
2017
A polynomial \(p\)-adic dynamical system. Zbl 1294.37033
Mukhamedov, F. M.; Rozikov, U. A.
6
2012
The uniqueness condition for a weakly periodic Gibbs measure for the hard-core model. Zbl 1282.82017
Rozikov, U. A.; Khakimov, R. M.
6
2012
On \(l\)-Volterra quadratic stochastic operators. Zbl 1263.47073
Rozikov, U. A.; Zada, A.
6
2009
Gibbs measures of Potts model on Cayley trees: a survey and applications. Zbl 1478.82004
Rozikov, U. A.
6
2021
On a class of separable quadratic stochastic operators. Zbl 1267.37057
Rozikov, U. A.; Zada, A.
6
2011
Normal subgroups of finite index for the group representation of the Cayley tree. Zbl 1317.20028
Rozikov, U. A.; Haydarov, F. H.
5
2014
Periodic Gibbs measures for the Ising model with competing interactions. Zbl 1178.82019
Nazarov, Kh. A.; Rozikov, U. A.
5
2003
A quasi-strictly non-Volterra quadratic stochastic operator. Zbl 1434.37033
Hardin, A. J. M.; Rozikov, U. A.
5
2019
\(p\)-adic dynamical systems of the function \(\frac{ax}{x^2+a}\). Zbl 1441.37105
Rozikov, U. A.; Sattarov, I. A.; Yam, S.
5
2019
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.
5
2017
Dynamical systems of the \(p\)-adic (2, 2)-rational functions with two fixed points. Zbl 1445.37077
Rozikov, U. A.; Sattarov, I. A.
5
2020
A group representation of the Cayley forest and some of its applications. Zbl 1065.82005
Ganikhodzhaev, N. N.; Rozikov, U. A.
4
2003
Gibbs measures in biology and physics. The Potts model. Zbl 1526.82002
Rozikov, Utkir A.
4
2023
A HC model with countable set of spin values: uncountable set of Gibbs measures. Zbl 1509.82030
Rozikov, U. A.; Haydarov, F. H.
1
2023
Periodic Gibbs measures for the Potts model in translation-invariant and periodic external fields on the Cayley tree. Zbl 1489.82019
Rozikov, U. A.; Rakhmatullaev, M. M.; Khakimov, R. M.
2
2022
Gibbs measures for the HC Blume-Capel model with countably many states on a Cayley tree. Zbl 1516.82020
Ganikhodzhaev, N. N.; Rozikov, U. A.; Khatamov, N. M.
2
2022
Gradient Gibbs measures of an SOS model on Cayley trees: 4-periodic boundary laws. Zbl 1495.82005
Haydarov, F. H.; Rozikov, U. A.
2
2022
Quadratic non-stochastic operators: examples of splitted chaos. Zbl 1493.37066
Rozikov, U. A.; Xudayarov, S. S.
2
2022
Mirror symmetry of height-periodic gradient Gibbs measures of an SOS model on Cayley trees. Zbl 1500.82008
Rozikov, U. A.
2
2022
Dynamical system of a quadratic stochastic operator with two discontinuity points. Zbl 1494.92092
Abdurakhimova, Sh. B.; Rozikov, U. A.
1
2022
Invariance property on group representations of the Cayley tree and its applications. Zbl 1512.20005
Haydarov, Farhod; Rozikov, Utkir
1
2022
Gibbs measures of Potts model on Cayley trees: a survey and applications. Zbl 1478.82004
Rozikov, U. A.
6
2021
Thermodynamics of interacting systems of DNA molecules. Zbl 1467.81100
Rozikov, U. A.
1
2021
Dynamical system of a mosquito population with distinct birth-death rates. Zbl 1478.92150
Boxonov, Z. S.; Rozikov, U. A.
1
2021
Dynamics of quadratic stochastic operators generated by China’s five element philosophy. Zbl 1482.37045
Ganikhodjaev, N. N.; Pah, C. H.; Rozikov, U.
1
2021
Dynamical systems of the \(p\)-adic (2, 2)-rational functions with two fixed points. Zbl 1445.37077
Rozikov, U. A.; Sattarov, I. A.
5
2020
Leslie’s prey-predator model in discrete time. Zbl 1464.92233
Rozikov, U. A.; Shoyimardonov, S. K.
3
2020
Quadratic stochastic processes of type \((\sigma|\mu)\). Zbl 1497.37057
Mamurov, B. J.; Rozikov, U. A.; Xudayarov, S. S.
3
2020
\(p\)-adic boundary laws and Markov chains on trees. Zbl 1462.82015
Ny, A. Le; Liao, L.; Rozikov, U. A.
3
2020
Dynamics of a population with two equal dominated species. Zbl 1448.37123
Rozikov, U. A.; Usmonov, J. B.
2
2020
Approximation of an algebra by evolution algebras. Zbl 1488.13067
Imomkulov, A. N.; Rozikov, U. A.
1
2020
The dynamics of gonosomal evolution operators. Zbl 1485.37073
Absalamov, Akmal T.; Rozikov, Utkir A.
1
2020
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.
17
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.
15
2019
An introduction to mathematical billiards. Zbl 1417.37028
Rozikov, Utkir A.
14
2019
Ocean ecosystem discrete time dynamics generated by \(\ell\)-Volterra operators. Zbl 1490.92131
Rozikov, U. A.; Shoyimardonov, S. K.
10
2019
A discrete-time dynamical system and an evolution algebra of mosquito population. Zbl 1409.92210
Rozikov, U. A.; Velasco, M. V.
7
2019
A quasi-strictly non-Volterra quadratic stochastic operator. Zbl 1434.37033
Hardin, A. J. M.; Rozikov, U. A.
5
2019
\(p\)-adic dynamical systems of the function \(\frac{ax}{x^2+a}\). Zbl 1441.37105
Rozikov, U. A.; Sattarov, I. A.; Yam, S.
5
2019
Markov processes of cubic stochastic matrices: quadratic stochastic processes. Zbl 1481.60143
Casas, J. M.; Ladra, M.; Rozikov, U. A.
3
2019
A class of nilpotent evolution algebras. Zbl 1437.17017
Omirov, Bakhrom A.; Rozikov, Utkir A.; Velasco, M. Victoria
1
2019
Holliday junctions for the Potts model of DNA. Zbl 1403.05153
Rozikov, Utkir
6
2018
Extremality of the translation-invariant Gibbs measures for the Potts model on the Cayley tree. Zbl 1401.82009
Rozikov, U. A.; Khakimov, R. M.; Khaidarov, F. Kh.
6
2018
Nontranslation invariant Gibbs measures for models with uncountable set of spin values on a Cayley tree. Zbl 1398.82013
Rozikov, U. A.; Botirov, G. I.
1
2018
On Volterra quadratic stochastic operators of a two-sex population on \(S^1\times S^1\). Zbl 1474.37116
Castanos, O.; Jamilov, U. U.; Rozikov, U. A.
1
2018
Fuzzy transformations and extremality of Gibbs measures for the Potts model on a Cayley tree. Zbl 1368.05068
Külske, Christof; Rozikov, Utkir A.
19
2017
Flow of finite-dimensional algebras. Zbl 1406.17048
Ladra, M.; Rozikov, U. A.
8
2017
\(p\)-adic dynamical systems of (2,2)-rational functions with unique fixed point. Zbl 1380.37155
Rozikov, U. A.; Sattarov, I. A.
7
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.
7
2017
Tree-hierarchy of DNA and distribution of Holliday junctions. Zbl 1383.92060
Rozikov, U. A.
7
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.
6
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.
5
2017
Free energies of the Potts model on a Cayley tree. Zbl 1434.82027
Rozikov, U. A.; Rakhmatullaev, M. M.
4
2017
Construction of flows of finite-dimensional algebras. Zbl 1421.17007
Ladra, M.; Rozikov, U. A.
4
2017
On subalgebras of an evolution algebra of a “chicken” population. Zbl 1430.17105
Omirov, B. A.; Rozikov, U. A.
3
2017
Algebras of cubic matrices. Zbl 1369.16030
Ladra, M.; Rozikov, U. A.
3
2017
Construction of a set of \(p\)-adic distributions. Zbl 1387.82028
Rozikov, U. A.; Tugyonov, Z. T.
2
2017
Constrained evolution algebras and dynamical systems of a bisexual population. Zbl 1382.17022
Dzhumadil’daev, A.; Omirov, B. A.; Rozikov, U. A.
11
2016
Dynamical systems generated by a gonosomal evolution operator. Zbl 1349.37090
Rozikov, Utkir A.; Varro, Richard
8
2016
On real chains of evolution algebras. Zbl 1361.17030
Omirov, B. A.; Rozikov, U. A.; Tulenbayev, K. M.
13
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.
13
2015
Extremality of translation-invariant phases for a three-state SOS-model on the binary tree. Zbl 1357.82023
Kuelske, C.; Rozikov, U. A.
12
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.
9
2015
Gibbs measures for the fertile three-state hard-core models on a Cayley tree. Zbl 1369.82010
Rozikov, U. A.; Khakimov, R. M.
8
2015
On evolution algebras. Zbl 1367.17026
Casas, J. M.; Ladra, M.; Omirov, B. A.; Rozikov, U. A.
46
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.
37
2014
An evolution algebra in population genetics. Zbl 1292.17030
Labra, A.; Ladra, M.; Rozikov, U. A.
22
2014
On construction and a class of non-Volterra cubic stochastic operators. Zbl 1322.37018
Rozikov, U. A.; Khamraev, A. Yu.
15
2014
Chain of evolution algebras of “chicken” population. Zbl 1288.17023
Rozikov, U. A.; Murodov, Sh. N.
13
2014
On a nonlinear \(p\)-adic dynamical system. Zbl 1347.37148
Rozikov, U. A.; Sattarov, I. A.
12
2014
Dibaric and evolution algebras in biology. Zbl 1370.17034
Ladra, M.; Omirov, B. A.; Rozikov, U. A.
11
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
9
2014
On a class of evolution algebras of “chicken” population. Zbl 1339.17022
Dzhumadil’daev, A.; Omirov, B. A.; Rozikov, U. A.
6
2014
Exact solution of a generalized ANNNI model on a Cayley tree. Zbl 1304.82016
Rozikov, U. A.; Akin, H.; Uğuz, S.
6
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.
6
2014
Normal subgroups of finite index for the group representation of the Cayley tree. Zbl 1317.20028
Rozikov, U. A.; Haydarov, F. H.
5
2014
Gibbs measures on Cayley trees. Zbl 1278.82002
Rozikov, Utkir A.
143
2013
Evolution algebra of a bisexual population. Zbl 1293.17041
Ladra, M.; Rozikov, U. A.
32
2013
On nilpotent index and dibaricity of evolution algebras. Zbl 1343.17021
Casas, J. M.; Ladra, Manuel; Omirov, B. A.; Rozikov, U. A.
21
2013
Periodic Gibbs measures for the Potts model on the Cayley tree. Zbl 1286.82006
Rozikov, U. A.; Khakimov, R. M.
21
2013
Dynamics of two-dimensional evolution algebras. Zbl 1297.37011
Rozikov, U. A.; Murodov, Sh. N.
19
2013
\(p\)-adic \((2,1)\)-rational dynamical systems. Zbl 1302.37056
Albeverio, S.; Rozikov, U. A.; Sattarov, I. A.
17
2013
\(p\)-adic Gibbs measures and Markov random fields on countable graphs. Zbl 1286.82013
Rozikov, U. A.; Khakimov, O. N.
16
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.
14
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.
13
2013
Gibbs measures on Cayley trees: results and open problems. Zbl 1268.60122
Rozikov, Utkir A.
10
2013
New phase transitions of the Ising model on Cayley trees. Zbl 1292.82005
Gandolfo, D.; Haydarov, F. H.; Rozikov, U. A.; Ruiz, J.
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.
8
2013
Dynamics of linear maps of idempotent measures. Zbl 1305.37007
Rozikov, U. A.; Karimov, M. M.
2
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
On \(p\)-adic Gibbs measures for hard core model on a Cayley tree. Zbl 1281.82006
Gandolfo, Daniel; Rozikov, Utkir A.; Ruiz, Jean
18
2012
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.
17
2012
A polynomial \(p\)-adic dynamical system. Zbl 1294.37033
Mukhamedov, F. M.; Rozikov, U. A.
6
2012
The uniqueness condition for a weakly periodic Gibbs measure for the hard-core model. Zbl 1282.82017
Rozikov, U. A.; Khakimov, R. M.
6
2012
Quadratic stochastic operators and processes: results and open problems. Zbl 1242.60067
Ganikhodzhaev, Rasul; Mukhamedov, Farrukh; Rozikov, Utkir
121
2011
A chain of evolution algebras. Zbl 1220.17026
Casas, J. M.; Ladra, M.; Rozikov, U. A.
34
2011
Volterra quadratic stochastic operators of a two-sex population. Zbl 1232.47060
Rozikov, U. A.; Zhamilov, U. U.
27
2011
Evolution algebras generated by Gibbs measures. Zbl 1260.46031
Rozikov, U. A.; Tian, J. P.
21
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.
17
2011
On a class of separable quadratic stochastic operators. Zbl 1267.37057
Rozikov, U. A.; Zada, A.
6
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 dynamics of \(\ell\)-Volterra quadratic stochastic operators. Zbl 1342.92199
Rozikov, U. A.; Zada, A.
18
2010
On models with uncountable set of spin values on a Cayley tree: integral equations. Zbl 1252.82034
Rozikov, Utkir A.; Eshkobilov, Yusup Kh.
14
2010
Description of periodic \(p\)-harmonic functions on Cayley tree. Zbl 1188.31004
Rozikov, Utkir A.; Ishankulov, Farruh T.
7
2010
Separable quadratic stochastic operators. Zbl 1304.37033
Rozikov, U. A.; Nazir, S.
3
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.
44
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.
29
2009
On Ising model with four competing interactions on Cayley tree. Zbl 1185.60112
Ganikhodjaev, N. N.; Rozikov, U. A.
18
2009
On non-Volterra quadratic stochastic operators generated by a product measure. Zbl 1161.37365
Rozikov, U. A.; Shamsiddinov, N. B.
13
2009
On \(l\)-Volterra quadratic stochastic operators. Zbl 1263.47073
Rozikov, U. A.; Zada, A.
6
2009
...and 42 more Documents
all top 5

Cited by 322 Authors

117 Rozikov, Utkir A.
99 Mukhamedov, Farruh Maksutovich
34 Jamilov, Uygun U.
33 Rahmatullaev, Muzaffar
27 Khakimov, Otabek N.
22 Khakimov, Rustam M.
22 Ladra González, Manuel
21 Haydarov, Farhod Halimjonovich
18 Ganikhodjaev, Nasir Nabievich
18 Saburov, Mansoor
18 Souissi, Abdessatar
16 Omirov, Bakhrom A.
15 Botirov, Golibjon I.
12 Akin, Hasan
11 Khatamov, Nosir Muĭdinovich
11 Külske, Christof
11 Paniello, Irene
11 Qaralleh, Izzat
10 Embong, Ahmad Fadillah
10 Pah, Chin Hee
8 Sattarov, Iskandar A.
7 Cabrera Casado, Yolanda
7 Rasulova, Muhayyo A.
7 Saburov, Mansur Kh.
7 Velasco, Maria Victoria
6 Barhoumi, Abdessatar
6 Eshkabilov, Yusup Khalbaevich
6 Ganikhodzhaev, Rasul N.
6 Liao, Lingmin
6 Makhammadaliev, Mukhtorjon Tursunmukhammad o’g’li
6 Núñez-Valdés, Juan
5 Endo, Eric Ossami
5 Gandolfo, Daniel
5 Le Ny, Arnaud
5 Saburov, Khikmat Khazhibaevich
5 Siles Molina, Mercedes
5 van Enter, Aernout C. D.
4 Bissacot, Rodrigo
4 Cadavid, Paula
4 Casas Miras, José Manuel
4 Fan, Shilei
4 Khrennikov, Andreĭ Yur’evich
4 Khudoyberdiev, Khayotjon O.
4 Murodov, Sherzod Normonovich
4 Pułka, Małgorzata
4 Rodríguez, Pablo M.
4 Rosli, Azizi
4 Ruiz, Jean
4 Scheutzow, Michael K. R.
4 Shoyimardonov, Sobirjon K.
4 Tukhtabaev, Akbarkhuja
3 Accardi, Luigi
3 Ahmad, Mohd Ali Khameini
3 Bartoszek, Krzysztof
3 Boxonov, Zafar Saydimahmudovich
3 Calderón Martín, Antonio Jesús
3 Doğan, Mutlay
3 Dragovich, Branko
3 El Gheteb, Soueidy
3 Falcón Ganfornina, Raúl Manuel
3 Garcia, Ronaldo A.
3 Henning, Florian
3 Karshiboev, Obid Sh.
3 Khamraev, Murod
3 Khudoyberdiyev, Abror Kh.
3 Labra, Alicia
3 Martín Barquero, Dolores
3 Martín González, Cándido
3 Mendes, José F. F.
3 Mukhitdinov, Ramazon T.
3 Ouattara, Moussa
3 Pirnapasov, Abror T.
3 Reinfelds, Andrejs
3 Reznik, Dan S.
3 Savadogo, Souleymane
3 Shahidi, Farruh
3 Tugyonov, Zohid T.
3 Zhamilov, U. U.
2 Abraev, Bunyod U.
2 Absalamov, Akmal T.
2 Ahmad, Muhammad Zaini
2 Al-Shutnawi, Basma M.
2 Alp, Murat
2 Alsarayreh, Abdelwahab
2 Athreya, Siva R.
2 Ban, Jungchao
2 Bandyopadhyay, Antar
2 Bartoszek, Wojciech
2 Buys, Pjotr
2 Camacho, Luisa Maria
2 Ceballos, Manuel
2 Chang, Chih-Hung
2 Dasgupta, Amites
2 De Boer, David
2 Dzhumadil’daev, Askar Serkulovich
2 Egamov, Dilshodbek O.
2 Falcón Ganfornina, Óscar Jesús
2 Fan, Ai Hua
2 Fernández-Ternero, Desamparados
2 Gómez-Sousa, Víctor M.
...and 222 more Authors
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Cited in 127 Serials

59 Theoretical and Mathematical Physics
25 Journal of Statistical Physics
21 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
20 Lobachevskii Journal of Mathematics
16 Mathematical Physics, Analysis and Geometry
15 Mathematical Notes
15 Linear Algebra and its Applications
13 Linear and Multilinear Algebra
13 Journal of Statistical Mechanics: Theory and Experiment
11 Reports on Mathematical Physics
10 Qualitative Theory of Dynamical Systems
9 Ukrainian Mathematical Journal
9 Positivity
9 Journal of Algebra and its Applications
8 Journal of Difference Equations and Applications
7 Infinite Dimensional Analysis, Quantum Probability and Related Topics
7 Journal of Applied Nonlinear Dynamics
7 Journal of Siberian Federal University. Mathematics & Physics
6 Journal of Mathematical Analysis and Applications
6 Journal of Mathematical Physics
6 Letters in Mathematical Physics
6 Journal of Algebra
6 Siberian Mathematical Journal
6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Communications in Algebra
4 Journal of Mathematical Biology
4 Mathematical Methods in the Applied Sciences
4 Chaos, Solitons and Fractals
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Results in Mathematics
4 Journal of Mathematical Sciences (New York)
4 International Journal of Biomathematics
3 Nonlinearity
3 Reviews in Mathematical Physics
3 Ergodic Theory and Dynamical Systems
3 The Annals of Applied Probability
3 Electronic Journal of Probability
3 Open Systems & Information Dynamics
3 Annales Henri Poincaré
3 Dynamical Systems
3 JP Journal of Algebra, Number Theory and Applications
3 Proceedings of the Steklov Institute of Mathematics
3 Discontinuity, Nonlinearity, and Complexity
2 Archive for Rational Mechanics and Analysis
2 Communications in Mathematical Physics
2 International Journal of Theoretical Physics
2 Physica A
2 Bulletin of Mathematical Biology
2 Stochastic Analysis and Applications
2 International Journal of Mathematics
2 Stochastic Processes and their Applications
2 Russian Mathematics
2 Journal of Algebraic Combinatorics
2 Algebra Colloquium
2 Computational and Applied Mathematics
2 Journal of Convex Analysis
2 Discrete and Continuous Dynamical Systems
2 Abstract and Applied Analysis
2 Journal of Inequalities and Applications
2 Algebras and Representation Theory
2 Journal of Nonlinear Mathematical Physics
2 International Journal of Geometric Methods in Modern Physics
2 Chinese Journal of Physics (Taipei)
1 International Journal of Modern Physics B
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Geometry and Physics
1 Beiträge zur Algebra und Geometrie
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 Journal of Pure and Applied Algebra
1 Le Matematiche
1 Mathematica Slovaca
1 Proceedings of the American Mathematical Society
1 Statistics & Probability Letters
1 Acta Applicandae Mathematicae
1 Probability Theory and Related Fields
1 Journal of Theoretical Probability
1 Applied Mathematics Letters
1 Queueing Systems
1 Random Structures & Algorithms
1 Expositiones Mathematicae
1 Indagationes Mathematicae. New Series
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Combinatorics, Probability and Computing
1 Turkish Journal of Mathematics
1 Fractals
1 Filomat
1 NoDEA. Nonlinear Differential Equations and Applications
1 Izvestiya: Mathematics
1 Doklady Mathematics
1 Journal for Geometry and Graphics
1 Revista Matemática Complutense
1 Matematicheskie Trudy
1 Probability in the Engineering and Informational Sciences
1 Journal of High Energy Physics
1 Mathematical Modelling and Analysis
...and 27 more Serials
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Cited in 41 Fields

228 Statistical mechanics, structure of matter (82-XX)
158 Probability theory and stochastic processes (60-XX)
125 Dynamical systems and ergodic theory (37-XX)
108 Combinatorics (05-XX)
83 Biology and other natural sciences (92-XX)
76 Nonassociative rings and algebras (17-XX)
70 Operator theory (47-XX)
40 Functional analysis (46-XX)
28 Number theory (11-XX)
20 Linear and multilinear algebra; matrix theory (15-XX)
18 Difference and functional equations (39-XX)
15 Field theory and polynomials (12-XX)
15 Quantum theory (81-XX)
9 Associative rings and algebras (16-XX)
9 Group theory and generalizations (20-XX)
6 Integral equations (45-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Ordinary differential equations (34-XX)
5 Computer science (68-XX)
4 Partial differential equations (35-XX)
3 Commutative algebra (13-XX)
3 Real functions (26-XX)
3 Measure and integration (28-XX)
3 Functions of a complex variable (30-XX)
3 Potential theory (31-XX)
3 Systems theory; control (93-XX)
3 Information and communication theory, circuits (94-XX)
2 Algebraic geometry (14-XX)
2 Integral transforms, operational calculus (44-XX)
2 General topology (54-XX)
2 Operations research, mathematical programming (90-XX)
1 General and overarching topics; collections (00-XX)
1 Approximations and expansions (41-XX)
1 Abstract harmonic analysis (43-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Geometry (51-XX)
1 Manifolds and cell complexes (57-XX)
1 Statistics (62-XX)
1 Numerical analysis (65-XX)
1 Mechanics of particles and systems (70-XX)
1 Relativity and gravitational theory (83-XX)

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