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: 162 Publications since 1996, including 3 Books 1 Contribution as Editor Reviewing Activity: 408 Reviews Co-Authors: 75 Co-Authors with 136 Joint Publications 1,071 Co-Co-Authors all top 5 Co-Authors 25 single-authored 15 Ganikhodjaev, Nasir Nabievich 15 Mukhamedov, Farruh Maksutovich 11 Ladra González, Manuel 11 Omirov, Bakhrom A. 9 Haydarov, Farhod Halimjonovich 8 Sattarov, Iskandar A. 7 Khakimov, Rustam M. 7 Rahmatullaev, Muzaffar 5 Casas Miras, José Manuel 5 Gandolfo, Daniel 4 Botirov, Golibjon I. 4 Külske, Christof 4 Ruiz, Jean 3 Eshkabilov, Yusup Khalbaevich 3 Suhov, Yurii Mikhailovich 3 Zada, Akbar 3 Zhamilov, U. U. 2 Akin, Hasan 2 Albeverio, Sergio A. 2 Boxonov, Zafar Saydimahmudovich 2 Dzhumadil’daev, Askar Serkulovich 2 Ishankulov, Farruh T. 2 Jamilov, Uygun U. 2 Khakimov, Otabek N. 2 Khamraev, A. Yu. 2 Le Ny, Arnaud 2 Mendes, José F. F. 2 Murodov, Sherzod Normonovich 2 Shoyimardonov, Sobirjon K. 2 Shoyusupov, Sh. A. 2 Usmonov, J. B. 2 Velasco, Maria Victoria 2 Xudayarov, S. S. 1 Abdurakhimova, Sh. B. 1 Absalamov, Akmal T. 1 Bogachev, Leonid V. 1 Cassandro, Marzio 1 Castaños, Octavio 1 Diyorov, A. M. 1 Eshkobilov, Yusup Kh. 1 Ganikhodzhaev, Rasul N. 1 Hardin, A. J. M. 1 Henning, Florian 1 Ibragimov, Zair 1 Imomkulov, A. N. 1 Karimov, M. M. 1 Khaidarov, F. Kh. 1 Khamraev, Murod 1 Khatamov, Nosir Muĭdinovich 1 Labra, Alicia 1 Levenberg, Norman jun. 1 Liao, Lingmin 1 Luna, A. R. 1 Madgoziev, G. T. 1 Makhammadaliev, Mukhtorjon Tursunmukhammad o’g’li 1 Mamurov, B. J. 1 Martin, James Benedict 1 Merola, Immacolata 1 Narkuziyev, B. A. 1 Nazarov, Kh. A. 1 Normatov, É. P. 1 Olimov, U. R. 1 Pah, Chin Hee 1 Picco, Pierre 1 Rakhmatullaev, A. M. 1 Sadullaev, Azimbaĭ Sadullaevich 1 Sayitova, M. 1 Shamsiddinov, N. B. 1 Temir, Seyit 1 Tugyonov, Zohid T. 1 Tukhtabaev, A. M. 1 Tulenbaev, K. M. 1 Uǧuz, Selman 1 Varro, Richard 1 Yam, S. all top 5 Serials 27 Theoretical and Mathematical Physics 12 Journal of Statistical Physics 8 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 Markov Processes and Related Fields 4 Infinite Dimensional Analysis, Quantum Probability and Related Topics 3 Linear and Multilinear Algebra 3 Reviews in Mathematical Physics 3 Journal of Algebra 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 Reports on Mathematical Physics 2 Ukraïns’kyĭ Matematychnyĭ Zhurnal 2 Results in Mathematics 2 Queueing Systems 2 Algebra Colloquium 2 Sbornik: Mathematics 2 Doklady Akademii Nauk Respubliki Uzbekistan. 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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 all top 5 Fields 83 Statistical mechanics, structure of matter (82-XX) 53 Probability theory and stochastic processes (60-XX) 41 Dynamical systems and ergodic theory (37-XX) 34 Combinatorics (05-XX) 27 Biology and other natural sciences (92-XX) 20 Nonassociative rings and algebras (17-XX) 14 Functional analysis (46-XX) 10 Operator theory (47-XX) 8 Field theory and polynomials (12-XX) 6 Number theory (11-XX) 6 Group theory and generalizations (20-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Functions of a complex variable (30-XX) 3 Potential theory (31-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Associative rings and algebras (16-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-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 133 Publications have been cited 1,697 times in 450 Documents Cited by ▼ Year ▼ Gibbs measures on Cayley trees. Zbl 1278.82002Rozikov, Utkir A. 116 2013 Quadratic stochastic operators and processes: results and open problems. Zbl 1242.60067Ganikhodzhaev, Rasul; Mukhamedov, Farrukh; Rozikov, Utkir 107 2011 Description of periodic extreme Gibbs measures of some lattice models on the Cayley tree. Zbl 0964.82504Ganikhodzhaev, N. N.; Rozikov, U. A. 59 1997 On evolution algebras. Zbl 1367.17026Casas, J. M.; Ladra, M.; Omirov, B. A.; Rozikov, U. A. 41 2014 On Gibbs measures of \(p\)-adic Potts model on the Cayley tree. Zbl 1161.82311Mukhamedov, Farruh M.; Rozikov, Utkir A. 40 2004 The dynamics of strictly non-Volterra quadratic stochastic operators on the 2-simplex. Zbl 1194.47077Zhamilov, U. U.; Rozikov, U. A. 39 2009 \(F\)-quadratic stochastic operators. Zbl 1167.92023Rozikov, U. A.; Zhamilov, U. U. 37 2008 A hard-core model on a Cayley tree: an example of a loss network. Zbl 1139.90338Suhov, Y.; Rozikov, U. A. 36 2004 The Potts model with countable set of spin values on a Cayley tree. Zbl 1101.82003Ganikhodjaev, N. N.; Rozikov, U. A. 34 2006 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 0978.82506Rozikov, U. A. 34 1997 On Gibbs measures of models with competing ternary and binary interactions and corresponding von Neumann algebras. Zbl 1061.82007Mukhamedov, Farruh; Rozikov, Utkir 33 2004 On inhomogeneous \(p\)-adic Potts model on a Cayley tree. Zbl 1096.82007Mukhamedov, Farrukh; Rozikov, Utkir 32 2005 A chain of evolution algebras. Zbl 1220.17026Casas, J. M.; Ladra, M.; Rozikov, U. A. 32 2011 Description of the translation-invariant splitting Gibbs measures for the Potts model on a Cayley tree. Zbl 1298.82022Külske, C.; Rozikov, U. A.; Khakimov, R. M. 31 2014 Evolution algebra of a bisexual population. Zbl 1293.17041Ladra, M.; Rozikov, U. A. 29 2013 Gibbs measures for SOS models on a Cayley tree. Zbl 1106.60081Rozikov, U. A.; Suhov, Y. M. 25 2006 Volterra quadratic stochastic operators of a two-sex population. Zbl 1232.47060Rozikov, U. A.; Zhamilov, U. U. 25 2011 Weakly periodic ground states and Gibbs measures for the Ising model with competing interactions on the Cayley tree. Zbl 1180.82034Rozikov, U. A.; Rakhmatullaev, M. M. 24 2009 Description of weakly periodic Gibbs measures for the Ising model on a Cayley tree. Zbl 1157.82311Rozikov, U. A.; Rakhmatullaev, M. M. 22 2008 A three state hard-core model on a Cayley tree. Zbl 1171.82308Martin, James; Rozikov, Utkir; Suhov, Yuri 22 2005 On nilpotent index and dibaricity of evolution algebras. Zbl 1343.17021Casas, J. M.; Ladra, Manuel; Omirov, B. A.; Rozikov, U. A. 21 2013 An evolution algebra in population genetics. Zbl 1292.17030Labra, A.; Ladra, M.; Rozikov, U. A. 21 2014 Periodic Gibbs measures for the Potts model on the Cayley tree. Zbl 1286.82006Rozikov, U. A.; Khakimov, R. M. 20 2013 Evolution algebras generated by Gibbs measures. Zbl 1260.46031Rozikov, U. A.; Tian, J. P. 20 2011 On Gibbs measures of models with competing ternary and binary interactions and corresponding von Neumann algebras. II. Zbl 1071.82017Mukhamedov, Farruh; Rozikov, Utkir 19 2005 On rational \(p\)-adic dynamical systems. Zbl 1053.37022Mukhamedov, Farruh; Rozikov, Utkir 19 2004 Dynamics of two-dimensional evolution algebras. Zbl 1297.37011Rozikov, U. A.; Murodov, Sh. N. 18 2013 Construction of an uncountable number of limiting Gibbs measures in the inhomogeneous Ising model. Zbl 0957.82007Rozikov, U. A. 18 1999 On dynamics of \(\ell\)-Volterra quadratic stochastic operators. Zbl 1342.92199Rozikov, U. A.; Zada, A. 18 2010 On Ising model with four competing interactions on Cayley tree. Zbl 1185.60112Ganikhodjaev, N. N.; Rozikov, U. A. 17 2009 Non-uniqueness of Gibbs measure for models with uncountable set of spin values on a Cayley tree. Zbl 1252.82026Eshkabilov, Y. K.; Haydarov, F. H.; Rozikov, U. A. 17 2012 A constructive description of ground states and Gibbs measures for Ising model with two-step interactions on Cayley tree. Zbl 1149.82008Rozikov, U. A. 17 2006 Existence of a phase transition for the Potts \(p\)-adic model on the set \(\mathbb{Z}\). Zbl 1031.82013Ganikhodzhaev, N. N.; Mukhamedov, F. M.; Rozikov, U. A. 17 2002 On \(q\)-component models on Cayley tree: contour method. Zbl 1076.82509Rozikov, U. A. 17 2005 A contour method on Cayley trees. Zbl 1214.82020Rozikov, U. A. 16 2008 Fertile HC models with three states on a Cayley tree. Zbl 1157.82312Rozikov, U. A.; Shoyusupov, Sh. A. 16 2008 \(p\)-adic \((2,1)\)-rational dynamical systems. Zbl 1302.37056Albeverio, S.; Rozikov, U. A.; Sattarov, I. A. 16 2013 Fuzzy transformations and extremality of Gibbs measures for the Potts model on a Cayley tree. Zbl 1368.05068Külske, Christof; Rozikov, Utkir A. 16 2017 On \(p\)-adic Gibbs measures for hard core model on a Cayley tree. Zbl 1281.82006Gandolfo, Daniel; Rozikov, Utkir A.; Ruiz, Jean 15 2012 On models with uncountable set of spin values on a Cayley tree: integral equations. Zbl 1252.82034Rozikov, Utkir A.; Eshkobilov, Yusup Kh. 14 2010 On non-Volterra quadratic stochastic operators generated by a product measure. Zbl 1161.37365Rozikov, U. A.; Shamsiddinov, N. B. 13 2009 On construction and a class of non-Volterra cubic stochastic operators. Zbl 1322.37018Rozikov, U. A.; Khamraev, A. Yu. 13 2014 Uniqueness of Gibbs measure for models with uncountable set of spin values on a Cayley tree. Zbl 1277.82008Eshkabilov, Yu. Kh.; Haydarov, F. H.; Rozikov, U. A. 13 2013 On the uniqueness of Gibbs measures for \(p\)-adic nonhomogeneous \({\lambda}\)-model on the Cayley tree. Zbl 1065.46057Khamraev, Murod; Mukhamedov, Farruh; Rozikov, Utkir 13 2004 On cubic operators defined on finite-dimensional simplexes. Zbl 1075.37540Rozikov, U. A.; Khamraev, A. Yu. 13 2004 On quadratic stochastic operators generated by Gibbs distributions. Zbl 1164.37309Ganikhodzhaev, N. N.; Rozikov, U. A. 12 2006 Description of all translation-invariant \(p\)-adic Gibbs measures for the Potts model on a Cayley tree. Zbl 1332.82018Rozikov, U. A.; Khakimov, O. N. 12 2015 On real chains of evolution algebras. Zbl 1361.17030Omirov, B. A.; Rozikov, U. A.; Tulenbayev, K. M. 12 2015 \(p\)-adic Gibbs measures and Markov random fields on countable graphs. Zbl 1286.82013Rozikov, U. A.; Khakimov, O. N. 12 2013 Chain of evolution algebras of “chicken” population. Zbl 1288.17023Rozikov, U. A.; Murodov, Sh. N. 12 2014 On the uniqueness of Gibbs measure in the Potts model on a Cayley tree with external field. Zbl 1457.82114Bogachev, Leonid V.; Rozikov, Utkir A. 12 2019 Gibbs measures for the SOS model with four states on a Cayley tree. Zbl 1177.82031Rozikov, U. A.; Shoyusupov, Sh. A. 12 2006 Potts model with competing interactions on the Cayley tree: The contour method. Zbl 1157.82308Botirov, G. I.; Rozikov, U. A. 11 2007 Dibaric and evolution algebras in biology. Zbl 1370.17034Ladra, M.; Omirov, B. A.; Rozikov, U. A. 11 2014 On a nonlinear \(p\)-adic dynamical system. Zbl 1347.37148Rozikov, U. A.; Sattarov, I. A. 11 2014 An introduction to mathematical billiards. Zbl 1417.37028Rozikov, Utkir A. 11 2019 Gradient Gibbs measures for the SOS model with countable values on a Cayley tree. Zbl 1431.82014Henning, Florian; Külske, Christof; Le Ny, Arnaud; Rozikov, Utkir A. 11 2019 Extremality of translation-invariant phases for a three-state SOS-model on the binary tree. Zbl 1357.82023Kuelske, C.; Rozikov, U. A. 10 2015 A new set of limiting Gibbs measures for the Ising model on a Cayley tree. Zbl 1211.82010Akin, H.; Rozikov, U. A.; Temir, S. 10 2011 One-dimensional Ising models with long range interactions: cluster expansion, phase-separating point. Zbl 1297.82006Cassandro, 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 1311.82005Rozikov, U. A.; Haydarov, F. H. 9 2015 Constrained evolution algebras and dynamical systems of a bisexual population. Zbl 1382.17022Dzhumadil’daev, A.; Omirov, B. A.; Rozikov, U. A. 9 2016 Gibbs measures on Cayley trees: results and open problems. Zbl 1268.60122Rozikov, Utkir A. 9 2013 On free energies of the Ising model on the Cayley tree. Zbl 1273.82013Gandolfo, D.; Rakhmatullaev, M. M.; Rozikov, U. A.; Ruiz, J. 9 2013 A description of harmonic functions via properties of the group representation of the Cayley tree. Zbl 1187.43005Normatov, É. P.; Rozikov, U. A. 9 2006 Ocean ecosystem discrete time dynamics generated by \(\ell\)-Volterra operators. Zbl 1490.92131Rozikov, U. A.; Shoyimardonov, S. K. 9 2019 On phase transitions for \(p\)-adic Potts model with competing interactions on a Cayley tree. Zbl 1152.82309Mukhamedov, 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 1276.05060Eshkabilov, Yu. Kh.; Rozikov, U. A.; Botirov, G. I. 8 2013 Four competing interactions for models with an uncountable set of spin values on a Cayley tree. Zbl 1387.82015Rozikov, U. A.; Haydarov, F. H. 7 2017 Flow of finite-dimensional algebras. Zbl 1406.17048Ladra, M.; Rozikov, U. A. 7 2017 Dynamical systems generated by a gonosomal evolution operator. Zbl 1349.37090Rozikov, Utkir A.; Varro, Richard 7 2016 Gibbs measures for the fertile three-state hard-core models on a Cayley tree. Zbl 1369.82010Rozikov, U. A.; Khakimov, R. M. 7 2015 On disordered phase in the ferromagnetic Potts model on the Bethe lattice. Zbl 0980.82006Ganikodhjaev, Nasir; Rozikov, Utkir 7 2000 Random walks in random media on a Cayley tree. Zbl 0998.60044Rozikov, U. A. 7 2001 On contour arguments for the three state Potts model with competing interactions on a semi-infinite Cayley tree. Zbl 1121.82014Mukhamedov, Farrukh; Rozikov, Utkir; Mendes, José F. F. 7 2007 Solvability criteria for the equation \(x^q=a\) in the field of \(p\)-adic numbers. Zbl 1296.11157Casas, J. M.; Omirov, B. A.; Rozikov, U. A. 6 2014 Description of limit Gibbs measures for \(\lambda\)-models on Bethe lattices. Zbl 1071.82523Rozikov, U. A. 6 1998 Representability of trees and some of their applications. Zbl 1028.82008Rozikov, U. A. 6 2002 \(p\)-adic dynamical systems of (2,2)-rational functions with unique fixed point. Zbl 1380.37155Rozikov, U. A.; Sattarov, I. A. 6 2017 A discrete-time dynamical system and an evolution algebra of mosquito population. Zbl 1409.92210Rozikov, U. A.; Velasco, M. V. 6 2019 Description of periodic \(p\)-harmonic functions on Cayley tree. Zbl 1188.31004Rozikov, Utkir A.; Ishankulov, Farruh T. 6 2010 Tree-hierarchy of DNA and distribution of Holliday junctions. Zbl 1383.92060Rozikov, U. A. 5 2017 On a class of evolution algebras of “chicken” population. Zbl 1339.17022Dzhumadil’daev, A.; Omirov, B. A.; Rozikov, U. A. 5 2014 The uniqueness condition for a weakly periodic Gibbs measure for the hard-core model. Zbl 1282.82017Rozikov, U. A.; Khakimov, R. M. 5 2012 New phase transitions of the Ising model on Cayley trees. Zbl 1292.82005Gandolfo, D.; Haydarov, F. H.; Rozikov, U. A.; Ruiz, J. 5 2013 On \(l\)-Volterra quadratic stochastic operators. Zbl 1263.47073Rozikov, U. A.; Zada, A. 5 2009 \(p\)-adic dynamical systems of the function \(\frac{ax}{x^2+a}\). Zbl 1441.37105Rozikov, U. A.; Sattarov, I. A.; Yam, S. 5 2019 A quasi-strictly non-Volterra quadratic stochastic operator. Zbl 1434.37033Hardin, A. J. M.; Rozikov, U. A. 5 2019 Normal subgroups of finite index for the group representation of the Cayley tree. Zbl 1317.20028Rozikov, U. A.; Haydarov, F. H. 4 2014 A polynomial \(p\)-adic dynamical system. Zbl 1294.37033Mukhamedov, F. M.; Rozikov, U. A. 4 2012 On a class of separable quadratic stochastic operators. Zbl 1267.37057Rozikov, U. A.; Zada, A. 4 2011 Countably periodic Gibbs measures of the Ising model on the Cayley tree. Zbl 1031.82016Rozikov, U. A. 4 2002 Construction of flows of finite-dimensional algebras. Zbl 1421.17007Ladra, M.; Rozikov, U. A. 4 2017 Boundary conditions for translation-invariant Gibbs measures of the Potts model on Cayley trees. Zbl 1376.82027Gandolfo, D.; Rahmatullaev, M. M.; Rozikov, U. A. 4 2017 Extremality of the translation-invariant Gibbs measures for the Potts model on the Cayley tree. Zbl 1401.82009Rozikov, U. A.; Khakimov, R. M.; Khaidarov, F. Kh. 4 2018 Dynamical systems of the \(p\)-adic (2, 2)-rational functions with two fixed points. Zbl 1445.37077Rozikov, U. A.; Sattarov, I. A. 4 2020 Periodic Gibbs measures for the Ising model with competing interactions. Zbl 1178.82019Nazarov, Kh. A.; Rozikov, U. A. 4 2003 Algebras of cubic matrices. Zbl 1369.16030Ladra, M.; Rozikov, U. A. 3 2017 Exact solution of a generalized ANNNI model on a Cayley tree. Zbl 1304.82016Rozikov, U. A.; Akin, H.; Uğuz, S. 3 2014 A group representation of the Cayley forest and some of its applications. Zbl 1065.82005Ganikhodzhaev, N. N.; Rozikov, U. A. 3 2003 Gibbs measures in biology and physics. The Potts model. Zbl 07569550Rozikov, Utkir A. 1 2023 A HC model with countable set of spin values: uncountable set of Gibbs measures. Zbl 1509.82030Rozikov, 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 1489.82019Rozikov, U. A.; Rakhmatullaev, M. M.; Khakimov, R. M. 2 2022 Quadratic non-stochastic operators: examples of splitted chaos. Zbl 1493.37066Rozikov, U. A.; Xudayarov, S. S. 1 2022 Gibbs measures of Potts model on Cayley trees: a survey and applications. Zbl 1478.82004Rozikov, U. A. 3 2021 Dynamical systems of the \(p\)-adic (2, 2)-rational functions with two fixed points. Zbl 1445.37077Rozikov, U. A.; Sattarov, I. A. 4 2020 Leslie’s prey-predator model in discrete time. Zbl 1464.92233Rozikov, U. A.; Shoyimardonov, S. K. 3 2020 Quadratic stochastic processes of type \((\sigma|\mu)\). Zbl 1497.37057Mamurov, B. J.; Rozikov, U. A.; Xudayarov, S. S. 2 2020 \(p\)-adic boundary laws and Markov chains on trees. Zbl 1462.82015Ny, A. Le; Liao, L.; Rozikov, U. A. 2 2020 Dynamics of a population with two equal dominated species. Zbl 1448.37123Rozikov, U. A.; Usmonov, J. B. 2 2020 The dynamics of gonosomal evolution operators. Zbl 1485.37073Absalamov, Akmal T.; Rozikov, Utkir A. 1 2020 Approximation of an algebra by evolution algebras. Zbl 1488.13067Imomkulov, 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 1457.82114Bogachev, Leonid V.; Rozikov, Utkir A. 12 2019 An introduction to mathematical billiards. Zbl 1417.37028Rozikov, Utkir A. 11 2019 Gradient Gibbs measures for the SOS model with countable values on a Cayley tree. Zbl 1431.82014Henning, Florian; Külske, Christof; Le Ny, Arnaud; Rozikov, Utkir A. 11 2019 Ocean ecosystem discrete time dynamics generated by \(\ell\)-Volterra operators. Zbl 1490.92131Rozikov, U. A.; Shoyimardonov, S. K. 9 2019 A discrete-time dynamical system and an evolution algebra of mosquito population. Zbl 1409.92210Rozikov, U. A.; Velasco, M. V. 6 2019 \(p\)-adic dynamical systems of the function \(\frac{ax}{x^2+a}\). Zbl 1441.37105Rozikov, U. A.; Sattarov, I. A.; Yam, S. 5 2019 A quasi-strictly non-Volterra quadratic stochastic operator. Zbl 1434.37033Hardin, A. J. M.; Rozikov, U. A. 5 2019 Markov processes of cubic stochastic matrices: quadratic stochastic processes. Zbl 1481.60143Casas, J. M.; Ladra, M.; Rozikov, U. A. 3 2019 A class of nilpotent evolution algebras. Zbl 1437.17017Omirov, 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 1401.82009Rozikov, U. A.; Khakimov, R. M.; Khaidarov, F. Kh. 4 2018 Holliday junctions for the Potts model of DNA. Zbl 1403.05153Rozikov, Utkir 3 2018 Nontranslation invariant Gibbs measures for models with uncountable set of spin values on a Cayley tree. Zbl 1398.82013Rozikov, U. A.; Botirov, G. I. 1 2018 Fuzzy transformations and extremality of Gibbs measures for the Potts model on a Cayley tree. Zbl 1368.05068Külske, Christof; Rozikov, Utkir A. 16 2017 Four competing interactions for models with an uncountable set of spin values on a Cayley tree. Zbl 1387.82015Rozikov, U. A.; Haydarov, F. H. 7 2017 Flow of finite-dimensional algebras. Zbl 1406.17048Ladra, M.; Rozikov, U. A. 7 2017 \(p\)-adic dynamical systems of (2,2)-rational functions with unique fixed point. Zbl 1380.37155Rozikov, U. A.; Sattarov, I. A. 6 2017 Tree-hierarchy of DNA and distribution of Holliday junctions. Zbl 1383.92060Rozikov, U. A. 5 2017 Construction of flows of finite-dimensional algebras. Zbl 1421.17007Ladra, M.; Rozikov, U. A. 4 2017 Boundary conditions for translation-invariant Gibbs measures of the Potts model on Cayley trees. Zbl 1376.82027Gandolfo, D.; Rahmatullaev, M. M.; Rozikov, U. A. 4 2017 Algebras of cubic matrices. Zbl 1369.16030Ladra, M.; Rozikov, U. A. 3 2017 Free energies of the Potts model on a Cayley tree. Zbl 1434.82027Rozikov, U. A.; Rakhmatullaev, M. M. 3 2017 On subalgebras of an evolution algebra of a “chicken” population. Zbl 1430.17105Omirov, B. A.; Rozikov, U. A. 3 2017 Ising model on Cayley trees: a new class of Gibbs measures and their comparison with known ones. Zbl 1457.82087Rahmatullaev, M. M.; Rozikov, U. A. 3 2017 Construction of a set of \(p\)-adic distributions. Zbl 1387.82028Rozikov, U. A.; Tugyonov, Z. T. 2 2017 Constrained evolution algebras and dynamical systems of a bisexual population. Zbl 1382.17022Dzhumadil’daev, A.; Omirov, B. A.; Rozikov, U. A. 9 2016 Dynamical systems generated by a gonosomal evolution operator. Zbl 1349.37090Rozikov, Utkir A.; Varro, Richard 7 2016 Description of all translation-invariant \(p\)-adic Gibbs measures for the Potts model on a Cayley tree. Zbl 1332.82018Rozikov, U. A.; Khakimov, O. N. 12 2015 On real chains of evolution algebras. Zbl 1361.17030Omirov, B. A.; Rozikov, U. A.; Tulenbayev, K. M. 12 2015 Extremality of translation-invariant phases for a three-state SOS-model on the binary tree. Zbl 1357.82023Kuelske, C.; Rozikov, U. A. 10 2015 Periodic Gibbs measures for models with uncountable set of spin values on a Cayley tree. Zbl 1311.82005Rozikov, U. A.; Haydarov, F. H. 9 2015 Gibbs measures for the fertile three-state hard-core models on a Cayley tree. Zbl 1369.82010Rozikov, U. A.; Khakimov, R. M. 7 2015 On evolution algebras. Zbl 1367.17026Casas, J. M.; Ladra, M.; Omirov, B. A.; Rozikov, U. A. 41 2014 Description of the translation-invariant splitting Gibbs measures for the Potts model on a Cayley tree. Zbl 1298.82022Külske, C.; Rozikov, U. A.; Khakimov, R. M. 31 2014 An evolution algebra in population genetics. Zbl 1292.17030Labra, A.; Ladra, M.; Rozikov, U. A. 21 2014 On construction and a class of non-Volterra cubic stochastic operators. Zbl 1322.37018Rozikov, U. A.; Khamraev, A. Yu. 13 2014 Chain of evolution algebras of “chicken” population. Zbl 1288.17023Rozikov, U. A.; Murodov, Sh. N. 12 2014 Dibaric and evolution algebras in biology. Zbl 1370.17034Ladra, M.; Omirov, B. A.; Rozikov, U. A. 11 2014 On a nonlinear \(p\)-adic dynamical system. Zbl 1347.37148Rozikov, U. A.; Sattarov, I. A. 11 2014 One-dimensional Ising models with long range interactions: cluster expansion, phase-separating point. Zbl 1297.82006Cassandro, 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 1296.11157Casas, J. M.; Omirov, B. A.; Rozikov, U. A. 6 2014 On a class of evolution algebras of “chicken” population. Zbl 1339.17022Dzhumadil’daev, A.; Omirov, B. A.; Rozikov, U. A. 5 2014 Normal subgroups of finite index for the group representation of the Cayley tree. Zbl 1317.20028Rozikov, U. A.; Haydarov, F. H. 4 2014 Exact solution of a generalized ANNNI model on a Cayley tree. Zbl 1304.82016Rozikov, U. A.; Akin, H.; Uğuz, S. 3 2014 Gibbs measures on Cayley trees. Zbl 1278.82002Rozikov, Utkir A. 116 2013 Evolution algebra of a bisexual population. Zbl 1293.17041Ladra, M.; Rozikov, U. A. 29 2013 On nilpotent index and dibaricity of evolution algebras. Zbl 1343.17021Casas, J. M.; Ladra, Manuel; Omirov, B. A.; Rozikov, U. A. 21 2013 Periodic Gibbs measures for the Potts model on the Cayley tree. Zbl 1286.82006Rozikov, U. A.; Khakimov, R. M. 20 2013 Dynamics of two-dimensional evolution algebras. Zbl 1297.37011Rozikov, U. A.; Murodov, Sh. N. 18 2013 \(p\)-adic \((2,1)\)-rational dynamical systems. Zbl 1302.37056Albeverio, S.; Rozikov, U. A.; Sattarov, I. A. 16 2013 Uniqueness of Gibbs measure for models with uncountable set of spin values on a Cayley tree. Zbl 1277.82008Eshkabilov, Yu. Kh.; Haydarov, F. H.; Rozikov, U. A. 13 2013 \(p\)-adic Gibbs measures and Markov random fields on countable graphs. Zbl 1286.82013Rozikov, U. A.; Khakimov, O. N. 12 2013 Gibbs measures on Cayley trees: results and open problems. Zbl 1268.60122Rozikov, Utkir A. 9 2013 On free energies of the Ising model on the Cayley tree. Zbl 1273.82013Gandolfo, D.; Rakhmatullaev, M. M.; Rozikov, U. A.; Ruiz, J. 9 2013 Phase transitions for a model with uncountable set of spin values on a Cayley tree. Zbl 1276.05060Eshkabilov, Yu. Kh.; Rozikov, U. A.; Botirov, G. I. 8 2013 New phase transitions of the Ising model on Cayley trees. Zbl 1292.82005Gandolfo, D.; Haydarov, F. H.; Rozikov, U. A.; Ruiz, J. 5 2013 Dynamics of linear maps of idempotent measures. Zbl 1305.37007Rozikov, U. A.; Karimov, M. M. 2 2013 Classification of \(p\)-adic 6-dimensional filiform Leibniz algebras by solutions of \(x^q=a\). Zbl 1272.17007Ladra, 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 1252.82026Eshkabilov, Y. K.; Haydarov, F. H.; Rozikov, U. A. 17 2012 On \(p\)-adic Gibbs measures for hard core model on a Cayley tree. Zbl 1281.82006Gandolfo, Daniel; Rozikov, Utkir A.; Ruiz, Jean 15 2012 The uniqueness condition for a weakly periodic Gibbs measure for the hard-core model. 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T. 2 2011 System of recursive equations for the partition functions of 1D models. Zbl 1257.82030Rozikov, U. A. 1 2011 On dynamics of \(\ell\)-Volterra quadratic stochastic operators. Zbl 1342.92199Rozikov, U. A.; Zada, A. 18 2010 On models with uncountable set of spin values on a Cayley tree: integral equations. Zbl 1252.82034Rozikov, Utkir A.; Eshkobilov, Yusup Kh. 14 2010 Description of periodic \(p\)-harmonic functions on Cayley tree. Zbl 1188.31004Rozikov, Utkir A.; Ishankulov, Farruh T. 6 2010 Separable quadratic stochastic operators. Zbl 1304.37033Rozikov, U. A.; Nazir, S. 2 2010 Description of \(p\)-harmonic functions on the Cayley tree. Zbl 1200.35310Rozikov, U. A.; Ishankulov, F. T. 1 2010 The dynamics of strictly non-Volterra quadratic stochastic operators on the 2-simplex. Zbl 1194.47077Zhamilov, U. U.; Rozikov, U. A. 39 2009 Weakly periodic ground states and Gibbs measures for the Ising model with competing interactions on the Cayley tree. Zbl 1180.82034Rozikov, U. A.; Rakhmatullaev, M. M. 24 2009 On Ising model with four competing interactions on Cayley tree. Zbl 1185.60112Ganikhodjaev, N. N.; Rozikov, U. A. 17 2009 On non-Volterra quadratic stochastic operators generated by a product measure. Zbl 1161.37365Rozikov, U. A.; Shamsiddinov, N. B. 13 2009 On \(l\)-Volterra quadratic stochastic operators. Zbl 1263.47073Rozikov, U. A.; Zada, A. 5 2009 \(F\)-quadratic stochastic operators. Zbl 1167.92023Rozikov, U. A.; Zhamilov, U. U. 37 2008 Description of weakly periodic Gibbs measures for the Ising model on a Cayley tree. Zbl 1157.82311Rozikov, U. A.; Rakhmatullaev, M. M. 22 2008 A contour method on Cayley trees. Zbl 1214.82020Rozikov, U. A. 16 2008 Fertile HC models with three states on a Cayley tree. Zbl 1157.82312Rozikov, U. A.; Shoyusupov, Sh. A. 16 2008 Potts model with competing interactions on the Cayley tree: The contour method. Zbl 1157.82308Botirov, G. I.; Rozikov, U. A. 11 2007 On contour arguments for the three state Potts model with competing interactions on a semi-infinite Cayley tree. Zbl 1121.82014Mukhamedov, Farrukh; Rozikov, Utkir; Mendes, José F. F. 7 2007 The Potts model with countable set of spin values on a Cayley tree. Zbl 1101.82003Ganikhodjaev, N. N.; Rozikov, U. A. 34 2006 Gibbs measures for SOS models on a Cayley tree. Zbl 1106.60081Rozikov, U. A.; Suhov, Y. M. 25 2006 A constructive description of ground states and Gibbs measures for Ising model with two-step interactions on Cayley tree. Zbl 1149.82008Rozikov, U. A. 17 2006 ...and 33 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 295 Authors 108 Rozikov, Utkir A. 87 Mukhamedov, Farruh Maksutovich 31 Jamilov, Uygun U. 30 Rahmatullaev, Muzaffar 24 Khakimov, Otabek N. 22 Ladra González, Manuel 20 Khakimov, Rustam M. 18 Haydarov, Farhod Halimjonovich 16 Ganikhodjaev, Nasir Nabievich 16 Omirov, Bakhrom A. 16 Saburov, Mansoor 16 Souissi, Abdessatar 14 Botirov, Golibjon I. 10 Külske, Christof 10 Qaralleh, Izzat 9 Khatamov, Nosir Muĭdinovich 9 Pah, Chin Hee 9 Paniello, Irene 8 Akin, Hasan 8 Embong, Ahmad Fadillah 8 Sattarov, Iskandar A. 7 Rasulova, Muhayyo A. 7 Velasco, Maria Victoria 6 Barhoumi, Abdessatar 6 Eshkabilov, Yusup Khalbaevich 6 Liao, Lingmin 6 Saburov, Mansur Kh. 5 Cabrera Casado, Yolanda 5 Endo, Eric Ossami 5 Gandolfo, Daniel 5 Ganikhodzhaev, Rasul N. 5 Le Ny, Arnaud 5 Núñez-Valdés, Juan 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 Makhammadaliev, Mukhtorjon Tursunmukhammad o’g’li 4 Murodov, Sherzod Normonovich 4 Pułka, Małgorzata 4 Rodríguez, Pablo M. 4 Ruiz, Jean 3 Accardi, Luigi 3 Ahmad, Mohd Ali Khameini 3 Bartoszek, Krzysztof 3 El Gheteb, Soueidy 3 Falcón Ganfornina, Raúl Manuel 3 Garcia, Ronaldo A. 3 Henning, Florian 3 Khamraev, Murod 3 Khrennikov, Andreĭ Yur’evich 3 Khudoyberdiyev, Abror Kh. 3 Mendes, José F. F. 3 Ouattara, Moussa 3 Pirnapasov, Abror T. 3 Reinfelds, Andrejs 3 Reznik, Dan S. 3 Rosli, Azizi 3 Savadogo, Souleymane 3 Scheutzow, Michael K. R. 3 Shahidi, Farruh 3 Shoyimardonov, Sobirjon K. 3 Tugyonov, Zohid T. 3 Tukhtabaev, Akbarkhuja 2 Abraev, Bunyod U. 2 Absalamov, Akmal T. 2 Ahmad, Muhammad Zaini 2 Al-Shutnawi, Basma M. 2 Alsarayreh, Abdelwahab 2 Athreya, Siva R. 2 Ban, Jungchao 2 Bandyopadhyay, Antar 2 Boxonov, Zafar Saydimahmudovich 2 Calderón Martín, Antonio Jesús 2 Camacho, Luisa Maria 2 Chang, Chih-Hung 2 Dasgupta, Amites 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. 2 Jahnel, Benedikt 2 Jamil, Hakim 2 Juraev, Ilhomjon T. 2 Karshiboev, Obid Sh. 2 Khaidarov, F. Kh. 2 Koiller, Jair 2 Kozyrev, Sergeĭ Vladimirovich 2 Kurganov, K. 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