Edit Profile (opens in new tab) Rozikov, Utkir A. Co-Author Distance Author ID: rozikov.utkir-a Published as: Rozikov, U. A.; Rozikov, Utkir A.; Rozikov, Utkir; Rozikov, U. more...less External Links: Math-Net.Ru Documents Indexed: 196 Publications since 1996, including 3 Books and 29 Additional arXiv Preprints 1 Contribution as Editor Reviewing Activity: 415 Reviews Co-Authors: 82 Co-Authors with 167 Joint Publications 1,219 Co-Co-Authors all top 5 Co-Authors 29 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 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 Jahnel, Benedikt 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 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 International Journal of Geometric Methods in Modern Physics 1 Annals of Functional Analysis 1 Springer Proceedings in Mathematics & Statistics 1 Journal of Algebra and Related Topics 1 Russian Journal of Nonlinear Dynamics all top 5 Fields 98 Statistical mechanics, structure of matter (82-XX) 65 Probability theory and stochastic processes (60-XX) 47 Dynamical systems and ergodic theory (37-XX) 35 Combinatorics (05-XX) 34 Biology and other natural sciences (92-XX) 23 Nonassociative rings and algebras (17-XX) 15 Functional analysis (46-XX) 11 Operator theory (47-XX) 10 Field theory and polynomials (12-XX) 7 Number theory (11-XX) 6 Group theory and generalizations (20-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Functions of a complex variable (30-XX) 4 Ordinary differential equations (34-XX) 3 Potential theory (31-XX) 3 General topology (54-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Associative rings and algebras (16-XX) 2 Difference and functional equations (39-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Partial differential equations (35-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 139 Publications have been cited 1,856 times in 487 Documents Cited by ▼ Year ▼ Gibbs measures on Cayley trees. Zbl 1278.82002 Rozikov, Utkir A. 135 2013 Quadratic stochastic operators and processes: results and open problems. Zbl 1242.60067 Ganikhodzhaev, Rasul; Mukhamedov, Farrukh; Rozikov, Utkir 116 2011 Description of periodic extreme Gibbs measures of some lattice models on the Cayley tree. Zbl 0964.82504 Ganikhodzhaev, N. N.; Rozikov, U. A. 62 1997 On evolution algebras. Zbl 1367.17026 Casas, J. M.; Ladra, M.; Omirov, B. A.; Rozikov, U. A. 46 2014 On Gibbs measures of \(p\)-adic Potts model on the Cayley tree. Zbl 1161.82311 Mukhamedov, Farruh M.; Rozikov, Utkir A. 42 2004 The dynamics of strictly non-Volterra quadratic stochastic operators on the 2-simplex. Zbl 1194.47077 Zhamilov, U. U.; Rozikov, U. A. 41 2009 A hard-core model on a Cayley tree: an example of a loss network. Zbl 1139.90338 Suhov, Y.; Rozikov, U. A. 39 2004 \(F\)-quadratic stochastic operators. Zbl 1167.92023 Rozikov, U. A.; Zhamilov, U. U. 39 2008 The Potts model with countable set of spin values on a Cayley tree. Zbl 1101.82003 Ganikhodjaev, N. N.; Rozikov, U. A. 38 2006 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 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 On inhomogeneous \(p\)-adic Potts model on a Cayley tree. Zbl 1096.82007 Mukhamedov, Farrukh; Rozikov, Utkir 34 2005 A chain of evolution algebras. Zbl 1220.17026 Casas, J. M.; Ladra, M.; Rozikov, U. A. 34 2011 Evolution algebra of a bisexual population. Zbl 1293.17041 Ladra, M.; Rozikov, U. A. 31 2013 Gibbs measures for SOS models on a Cayley tree. Zbl 1106.60081 Rozikov, U. A.; Suhov, Y. M. 26 2006 Volterra quadratic stochastic operators of a two-sex population. Zbl 1232.47060 Rozikov, U. A.; Zhamilov, U. U. 26 2011 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. 26 2009 Description of weakly periodic Gibbs measures for the Ising model on a Cayley tree. Zbl 1157.82311 Rozikov, U. A.; Rakhmatullaev, M. M. 24 2008 A three state hard-core model on a Cayley tree. Zbl 1171.82308 Martin, James; Rozikov, Utkir; Suhov, Yuri 23 2005 An evolution algebra in population genetics. Zbl 1292.17030 Labra, A.; Ladra, M.; Rozikov, U. A. 22 2014 Periodic Gibbs measures for the Potts model on the Cayley tree. Zbl 1286.82006 Rozikov, U. A.; Khakimov, R. M. 21 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 Evolution algebras generated by Gibbs measures. Zbl 1260.46031 Rozikov, U. A.; Tian, J. P. 21 2011 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 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 On rational \(p\)-adic dynamical systems. Zbl 1053.37022 Mukhamedov, Farruh; Rozikov, Utkir 19 2004 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. 19 2002 On dynamics of \(\ell\)-Volterra quadratic stochastic operators. Zbl 1342.92199 Rozikov, U. A.; Zada, A. 18 2010 Construction of an uncountable number of limiting Gibbs measures in the inhomogeneous Ising model. Zbl 0957.82007 Rozikov, U. A. 18 1999 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 cubic operators defined on finite-dimensional simplexes. Zbl 1075.37540 Rozikov, U. A.; Khamraev, A. Yu. 17 2004 On \(q\)-component models on Cayley tree: contour method. Zbl 1076.82509 Rozikov, U. A. 17 2005 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 On Ising model with four competing interactions on Cayley tree. Zbl 1185.60112 Ganikhodjaev, N. N.; Rozikov, U. A. 17 2009 \(p\)-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 A contour method on Cayley trees. Zbl 1214.82020 Rozikov, U. A. 16 2008 On construction and a class of non-Volterra cubic stochastic operators. Zbl 1322.37018 Rozikov, U. A.; Khamraev, A. Yu. 15 2014 On \(p\)-adic Gibbs measures for hard core model on a Cayley tree. Zbl 1281.82006 Gandolfo, Daniel; Rozikov, Utkir A.; Ruiz, Jean 15 2012 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 \(p\)-adic Gibbs measures and Markov random fields on countable graphs. Zbl 1286.82013 Rozikov, U. A.; Khakimov, O. N. 14 2013 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 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. 14 2011 Chain of evolution algebras of “chicken” population. Zbl 1288.17023 Rozikov, U. A.; Murodov, Sh. N. 13 2014 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 On non-Volterra quadratic stochastic operators generated by a product measure. Zbl 1161.37365 Rozikov, U. A.; Shamsiddinov, N. B. 13 2009 Potts model with competing interactions on the Cayley tree: The contour method. Zbl 1157.82308 Botirov, G. I.; Rozikov, U. A. 13 2007 On a nonlinear \(p\)-adic dynamical system. Zbl 1347.37148 Rozikov, U. A.; Sattarov, I. A. 12 2014 An introduction to mathematical billiards. Zbl 1417.37028 Rozikov, Utkir A. 12 2019 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 On real chains of evolution algebras. Zbl 1361.17030 Omirov, B. A.; Rozikov, U. A.; Tulenbayev, K. M. 12 2015 Gibbs measures for the SOS model with four states on a Cayley tree. Zbl 1177.82031 Rozikov, U. A.; Shoyusupov, Sh. A. 12 2006 On quadratic stochastic operators generated by Gibbs distributions. Zbl 1164.37309 Ganikhodzhaev, N. N.; Rozikov, U. A. 12 2006 Dibaric and evolution algebras in biology. Zbl 1370.17034 Ladra, M.; Omirov, B. A.; Rozikov, U. A. 11 2014 On free energies of the Ising model on the Cayley tree. Zbl 1273.82013 Gandolfo, D.; Rakhmatullaev, M. M.; Rozikov, U. A.; Ruiz, J. 11 2013 Ocean ecosystem discrete time dynamics generated by \(\ell\)-Volterra operators. Zbl 1490.92131 Rozikov, U. A.; Shoyimardonov, S. K. 10 2019 Constrained evolution algebras and dynamical systems of a bisexual population. Zbl 1382.17022 Dzhumadil’daev, A.; Omirov, B. A.; Rozikov, U. A. 10 2016 Gibbs measures on Cayley trees: results and open problems. Zbl 1268.60122 Rozikov, Utkir A. 10 2013 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 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 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 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 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 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 \(p\)-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 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 A discrete-time dynamical system and an evolution algebra of mosquito population. Zbl 1409.92210 Rozikov, U. A.; Velasco, M. V. 7 2019 New phase transitions of the Ising model on Cayley trees. Zbl 1292.82005 Gandolfo, D.; Haydarov, F. H.; Rozikov, U. A.; Ruiz, J. 7 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 Description of limit Gibbs measures for \(\lambda\)-models on Bethe lattices. Zbl 1071.82523 Rozikov, U. A. 6 1998 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 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 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 Description of periodic \(p\)-harmonic functions on Cayley tree. Zbl 1188.31004 Rozikov, Utkir A.; Ishankulov, Farruh T. 6 2010 Representability of trees and some of their applications. Zbl 1028.82008 Rozikov, U. A. 6 2002 On a class of separable quadratic stochastic operators. Zbl 1267.37057 Rozikov, U. A.; Zada, A. 6 2011 Tree-hierarchy of DNA and distribution of Holliday junctions. Zbl 1383.92060 Rozikov, U. A. 5 2017 Normal subgroups of finite index for the group representation of the Cayley tree. Zbl 1317.20028 Rozikov, U. A.; Haydarov, F. H. 5 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. 5 2018 On a class of evolution algebras of “chicken” population. Zbl 1339.17022 Dzhumadil’daev, A.; Omirov, B. A.; Rozikov, U. A. 5 2014 A polynomial \(p\)-adic dynamical system. Zbl 1294.37033 Mukhamedov, F. M.; Rozikov, U. A. 5 2012 Periodic Gibbs measures for the Ising model with competing interactions. Zbl 1178.82019 Nazarov, Kh. A.; Rozikov, U. A. 5 2003 \(p\)-adic dynamical systems of the function \(\frac{ax}{x^2+a}\). Zbl 1441.37105 Rozikov, U. A.; Sattarov, I. A.; Yam, S. 5 2019 A quasi-strictly non-Volterra quadratic stochastic operator. Zbl 1434.37033 Hardin, A. J. M.; Rozikov, U. A. 5 2019 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 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 Exact solution of a generalized ANNNI model on a Cayley tree. Zbl 1304.82016 Rozikov, U. A.; Akin, H.; Uğuz, S. 4 2014 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 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 Mirror symmetry of height-periodic gradient Gibbs measures of an SOS model on Cayley trees. Zbl 1500.82008 Rozikov, U. A. 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 Invariance property on group representations of the Cayley tree and its applications. Zbl 1512.20005 Haydarov, Farhod; Rozikov, Utkir 1 2022 Dynamical system of a quadratic stochastic operator with two discontinuity points. Zbl 1494.92092 Abdurakhimova, Sh. B.; Rozikov, U. A. 1 2022 Gibbs measures of Potts model on Cayley trees: a survey and applications. Zbl 1478.82004 Rozikov, U. A. 6 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 The dynamics of gonosomal evolution operators. Zbl 1485.37073 Absalamov, Akmal T.; Rozikov, Utkir A. 1 2020 Approximation of an algebra by evolution algebras. Zbl 1488.13067 Imomkulov, A. N.; Rozikov, U. 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. 12 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 \(p\)-adic dynamical systems of the function \(\frac{ax}{x^2+a}\). Zbl 1441.37105 Rozikov, U. A.; Sattarov, I. A.; Yam, S. 5 2019 A quasi-strictly non-Volterra quadratic stochastic operator. Zbl 1434.37033 Hardin, A. J. M.; Rozikov, U. A. 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 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. 5 2018 Holliday junctions for the Potts model of DNA. Zbl 1403.05153 Rozikov, Utkir 3 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 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 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 Tree-hierarchy of DNA and distribution of Holliday junctions. Zbl 1383.92060 Rozikov, U. A. 5 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 Construction of flows of finite-dimensional algebras. Zbl 1421.17007 Ladra, M.; Rozikov, U. A. 4 2017 Free energies of the Potts model on a Cayley tree. Zbl 1434.82027 Rozikov, U. A.; Rakhmatullaev, M. M. 3 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. 10 2016 Dynamical systems generated by a gonosomal evolution operator. Zbl 1349.37090 Rozikov, Utkir A.; Varro, Richard 8 2016 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 On real chains of evolution algebras. Zbl 1361.17030 Omirov, B. A.; Rozikov, U. A.; Tulenbayev, K. M. 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 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 On a class of evolution algebras of “chicken” population. Zbl 1339.17022 Dzhumadil’daev, A.; Omirov, B. A.; Rozikov, U. A. 5 2014 Exact solution of a generalized ANNNI model on a Cayley tree. Zbl 1304.82016 Rozikov, U. A.; Akin, H.; Uğuz, S. 4 2014 Gibbs measures on Cayley trees. Zbl 1278.82002 Rozikov, Utkir A. 135 2013 Evolution algebra of a bisexual population. Zbl 1293.17041 Ladra, M.; Rozikov, U. A. 31 2013 Periodic Gibbs measures for the Potts model on the Cayley tree. Zbl 1286.82006 Rozikov, U. A.; Khakimov, R. M. 21 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 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. 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 On free energies of the Ising model on the Cayley tree. Zbl 1273.82013 Gandolfo, D.; Rakhmatullaev, M. M.; Rozikov, U. A.; Ruiz, J. 11 2013 Gibbs measures on Cayley trees: results and open problems. Zbl 1268.60122 Rozikov, Utkir A. 10 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 New phase transitions of the Ising model on Cayley trees. Zbl 1292.82005 Gandolfo, D.; Haydarov, F. H.; Rozikov, U. A.; Ruiz, J. 7 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 Dynamics of linear maps of idempotent measures. Zbl 1305.37007 Rozikov, U. A.; Karimov, M. M. 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. 17 2012 On \(p\)-adic Gibbs measures for hard core model on a Cayley tree. Zbl 1281.82006 Gandolfo, Daniel; Rozikov, Utkir A.; Ruiz, Jean 15 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 A polynomial \(p\)-adic dynamical system. Zbl 1294.37033 Mukhamedov, F. M.; Rozikov, U. A. 5 2012 Quadratic stochastic operators and processes: results and open problems. Zbl 1242.60067 Ganikhodzhaev, Rasul; Mukhamedov, Farrukh; Rozikov, Utkir 116 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. 26 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. 14 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. 6 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. 41 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. 26 2009 On Ising model with four competing interactions on Cayley tree. Zbl 1185.60112 Ganikhodjaev, N. N.; Rozikov, U. A. 17 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 \(F\)-quadratic stochastic operators. Zbl 1167.92023 Rozikov, U. A.; Zhamilov, U. U. 39 2008 Description of weakly periodic Gibbs measures for the Ising model on a Cayley tree. Zbl 1157.82311 Rozikov, U. A.; Rakhmatullaev, M. M. 24 2008 Fertile HC models with three states on a Cayley tree. Zbl 1157.82312 Rozikov, U. A.; Shoyusupov, Sh. A. 17 2008 ...and 39 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 317 Authors 115 Rozikov, Utkir A. 91 Mukhamedov, Farruh Maksutovich 34 Jamilov, Uygun U. 32 Rahmatullaev, Muzaffar 25 Khakimov, Otabek N. 22 Khakimov, Rustam M. 22 Ladra González, Manuel 21 Haydarov, Farhod Halimjonovich 17 Ganikhodjaev, Nasir Nabievich 17 Souissi, Abdessatar 16 Omirov, Bakhrom A. 16 Saburov, Mansoor 15 Botirov, Golibjon I. 11 Qaralleh, Izzat 10 Khatamov, Nosir Muĭdinovich 10 Külske, Christof 10 Pah, Chin Hee 10 Paniello, Irene 9 Akin, Hasan 9 Embong, Ahmad Fadillah 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 Siles Molina, Mercedes 5 van Enter, Aernout C. D. 4 Bissacot, Rodrigo 4 Cadavid, Paula 4 Casas Miras, José Manuel 4 Fan, Shilei 4 Khudoyberdiev, Khayotjon O. 4 Murodov, Sherzod Normonovich 4 Pułka, Małgorzata 4 Rodríguez, Pablo M. 4 Rosli, Azizi 4 Ruiz, Jean 4 Saburov, Khikmat Khazhibaevich 4 Scheutzow, Michael K. R. 4 Shoyimardonov, Sobirjon K. 4 Tukhtabaev, Akbarkhuja 3 Accardi, Luigi 3 Ahmad, Mohd Ali Khameini 3 Bartoszek, Krzysztof 3 Calderón Martín, Antonio Jesús 3 El Gheteb, Soueidy 3 Falcón Ganfornina, Raúl Manuel 3 Garcia, Ronaldo A. 3 Henning, Florian 3 Karshiboev, Obid Sh. 3 Khamraev, Murod 3 Khrennikov, Andreĭ Yur’evich 3 Khudoyberdiyev, Abror Kh. 3 Martín Barquero, Dolores 3 Martín González, Cándido 3 Mendes, José F. F. 3 Ouattara, Moussa 3 Pirnapasov, Abror T. 3 Reinfelds, Andrejs 3 Reznik, Dan S. 3 Savadogo, Souleymane 3 Shahidi, Farruh 3 Tugyonov, Zohid T. 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 Boxonov, Zafar Saydimahmudovich 2 Buys, Pjotr 2 Camacho, Luisa Maria 2 Ceballos, Manuel 2 Chang, Chih-Hung 2 Dasgupta, Amites 2 De Boer, David 2 Doğan, Mutlay 2 Dragovich, Branko 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. 2 Hamdi, Tarek 2 Hamzah, Nur Zatul Akmar 2 Hu, Yueyun 2 Ishankulov, Farruh T. ...and 217 more Authors all top 5 Cited in 127 Serials 58 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 Linear Algebra and its Applications 14 Mathematical Notes 13 Linear and Multilinear Algebra 10 Qualitative Theory of Dynamical Systems 9 Reports on Mathematical Physics 9 Journal of Algebra and its Applications 8 Ukrainian Mathematical Journal 8 Journal of Difference Equations and Applications 8 Positivity 7 Infinite Dimensional Analysis, Quantum Probability and Related Topics 7 Journal of Statistical Mechanics: Theory and Experiment 7 Journal of Applied Nonlinear Dynamics 7 Journal of Siberian Federal University. 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