Edit Profile Rozikov, Utkir A. Compute Distance To: Compute Author ID: rozikov.utkir-a Published as: Rozikov, U. A.; Rozikov, Utkir; Rozikov, Utkir A. External Links: Math-Net.Ru Documents Indexed: 138 Publications since 1996, including 3 Books Reviewing Activity: 364 Reviews all top 5 Co-Authors 20 single-authored 15 Mukhamedov, Farruh Maksutovich 13 Ganikhodjaev, Nasir Nabievich 11 Ladra González, Manuel 11 Omirov, Bakhrom A. 7 Sattarov, Iskandar A. 6 Haydarov, Farhod Halimjonovich 6 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 Khakimov, Rustamjon M. 3 Suhov, Yurii Mikhailovich 3 Zada, Akbar 3 Zhamilov, U. U. 2 Akin, Hasan 2 Albeverio, Sergio A. 2 Dzhumadil’daev, Askar Serkulovich 2 Ishankulov, Farruh T. 2 Khakimov, Otabek N. 2 Khakimov, Rustam M. 2 Khamraev, A. Yu. 2 Le Ny, Arnaud 2 Mendes, José F. F. 2 Murodov, Sherzod Normonovich 2 Shoyusupov, Sh. A. 2 Usmonov, J. B. 2 Velasco, Maria Victoria 1 Bogachev, Leonid V. 1 Cassandro, Marzio 1 Eshkobilov, Yusup Kh. 1 Ganikhodzhaev, Rasul N. 1 Hardin, A. J. M. 1 Henning, Florian 1 Ibragimov, Zair 1 Jamilov, Uygun U. 1 Karimov, M. M. 1 Khaidarov, F. Kh. 1 Khamraev, Murod 1 Labra, Alicia 1 Levenberg, Norman jun. 1 Liao, Lingmin 1 Luna, A. R. 1 Madgoziev, G. T. 1 Mamurov, B. J. 1 Martin, James Benedict 1 Merola, Immacolata 1 Nazarov, Kh. A. 1 Nazir, Shah 1 Normatov, É. P. 1 Picco, Pierre 1 Rakhmatullaev, A. M. 1 Sadullaev, Azimbaĭ Sadullaevich 1 Shamsiddinov, N. B. 1 Shoyimardonov, S. K. 1 Temir, Seyit 1 Tian, Jianjun Paul 1 Tugyonov, Zohid T. 1 Tulenbaev, K. M. 1 Uǧuz, Selman 1 Varro, Richard 1 Xudayarov, S. S. 1 Yam, S. all top 5 Serials 23 Theoretical and Mathematical Physics 11 Journal of Statistical Physics 8 Lobachevskii Journal of Mathematics 6 Linear Algebra and its Applications 5 Mathematical Notes 4 Letters in Mathematical Physics 4 Mathematical Physics, Analysis and Geometry 4 Markov Processes and Related Fields 4 Infinite Dimensional Analysis, Quantum Probability and Related Topics 3 Journal of Algebra 3 Uzbekskiĭ Matematicheskiĭ Zhurnal 3 Qualitative Theory of Dynamical Systems 3 Journal of Statistical Mechanics: Theory and Experiment 3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 2 Journal of Mathematical Biology 2 Linear and Multilinear Algebra 2 Ukraïns’kyĭ Matematychnyĭ Zhurnal 2 Queueing Systems 2 Algebra Colloquium 2 Sbornik: Mathematics 2 Doklady Akademii Nauk Respubliki Uzbekistan. Matematika, Tekhnicheskie Nauki, Estestvoznanie 2 International Journal of Biomathematics 2 TWMS Journal of Pure and Applied Mathematics 2 Discontinuity, Nonlinearity, and Complexity 1 Communications in Algebra 1 Communications in Mathematical Physics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Reports on Mathematical Physics 1 Russian Mathematical Surveys 1 Ukrainian Mathematical Journal 1 Reviews in Mathematical Physics 1 Chaos, Solitons and Fractals 1 Osaka Journal of Mathematics 1 Results in Mathematics 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Stochastic Analysis and Applications 1 International Journal of Mathematics 1 Random Structures & Algorithms 1 Indagationes Mathematicae. New Series 1 NoDEA. Nonlinear Differential Equations and Applications 1 Electronic Journal of Probability 1 Izvestiya: Mathematics 1 Doklady Mathematics 1 Methods of Functional Analysis and Topology 1 Regular and Chaotic Dynamics 1 Journal of Nonlinear Mathematical Physics 1 Nonlinear Dynamics and Systems Theory 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Central European Journal of Mathematics 1 International Journal of Geometric Methods in Modern Physics 1 Springer Proceedings in Mathematics & Statistics 1 Journal of Applied Nonlinear Dynamics 1 Journal of Algebra and Related Topics all top 5 Fields 72 Statistical mechanics, structure of matter (82-XX) 47 Probability theory and stochastic processes (60-XX) 30 Dynamical systems and ergodic theory (37-XX) 28 Combinatorics (05-XX) 19 Nonassociative rings and algebras (17-XX) 19 Biology and other natural sciences (92-XX) 11 Functional analysis (46-XX) 8 Operator theory (47-XX) 6 Field theory and polynomials (12-XX) 5 Number theory (11-XX) 5 Group theory and generalizations (20-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Functions of a complex variable (30-XX) 3 Potential theory (31-XX) 2 Associative rings and algebras (16-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Measure and integration (28-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 113 Publications have been cited 1,086 times in 309 Documents Cited by ▼ Year ▼ Gibbs measures on Cayley trees. Zbl 1278.82002Rozikov, Utkir A. 68 2013 Quadratic stochastic operators and processes: results and open problems. Zbl 1242.60067Ganikhodzhaev, Rasul; Mukhamedov, Farrukh; Rozikov, Utkir 61 2011 Description of periodic extreme Gibbs measures of some lattice models on the Cayley tree. Zbl 0964.82504Ganikhodzhaev, N. N.; Rozikov, U. A. 52 1997 On Gibbs measures of \(p\)-adic Potts model on the Cayley tree. Zbl 1161.82311Mukhamedov, Farruh M.; Rozikov, Utkir A. 35 2004 A hard-core model on a Cayley tree: an example of a loss network. Zbl 1139.90338Suhov, Y.; Rozikov, U. A. 31 2004 Partition structures of the group representation of the Cayley tree into cosets by finite-index normal subgroups and their applications to the description of periodic Gibbs distributions. Zbl 0978.82506Rozikov, U. A. 30 1997 On evolution algebras. Zbl 1367.17026Casas, J. M.; Ladra, M.; Omirov, B. A.; Rozikov, U. A. 29 2014 The Potts model with countable set of spin values on a Cayley tree. Zbl 1101.82003Ganikhodjaev, N. N.; Rozikov, U. A. 26 2006 On inhomogeneous \(p\)-adic Potts model on a Cayley tree. Zbl 1096.82007Mukhamedov, Farrukh; Rozikov, Utkir 26 2005 On Gibbs measures of models with competing ternary and binary interactions and corresponding von Neumann algebras. Zbl 1061.82007Mukhamedov, Farruh; Rozikov, Utkir 23 2004 A chain of evolution algebras. Zbl 1220.17026Casas, J. M.; Ladra, M.; Rozikov, U. A. 21 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. 19 2014 \(F\)-quadratic stochastic operators. Zbl 1167.92023Rozikov, U. A.; Zhamilov, U. U. 19 2008 Evolution algebra of a bisexual population. Zbl 1293.17041Ladra, M.; Rozikov, U. A. 17 2013 Gibbs measures for SOS models on a Cayley tree. Zbl 1106.60081Rozikov, U. A.; Suhov, Y. M. 17 2006 On rational \(p\)-adic dynamical systems. Zbl 1053.37022Mukhamedov, Farruh; Rozikov, Utkir 17 2004 The dynamics of strictly non-Volterra quadratic stochastic operators on the 2-simplex. Zbl 1194.47077Zhamilov, U. U.; Rozikov, U. A. 16 2009 A three state hard-core model on a Cayley tree. Zbl 1171.82308Martin, James; Rozikov, Utkir; Suhov, Yuri 16 2005 On Gibbs measures of models with competing ternary and binary interactions and corresponding von Neumann algebras. II. Zbl 1071.82017Mukhamedov, Farruh; Rozikov, Utkir 16 2005 An evolution algebra in population genetics. Zbl 1292.17030Labra, A.; Ladra, M.; Rozikov, U. A. 15 2014 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. 15 2009 On Ising model with four competing interactions on Cayley tree. Zbl 1185.60112Ganikhodjaev, N. N.; Rozikov, U. A. 15 2009 Description of weakly periodic Gibbs measures for the Ising model on a Cayley tree. Zbl 1157.82311Rozikov, U. A.; Rakhmatullaev, M. M. 15 2008 Construction of an uncountable number of limiting Gibbs measures in the inhomogeneous Ising model. Zbl 0957.82007Rozikov, U. A. 15 1999 On nilpotent index and dibaricity of evolution algebras. Zbl 1343.17021Casas, J. M.; Ladra, Manuel; Omirov, B. A.; Rozikov, U. A. 14 2013 Evolution algebras generated by Gibbs measures. Zbl 1260.46031Rozikov, U. A.; Tian, J. P. 14 2011 \(p\)-adic \((2,1)\)-rational dynamical systems. Zbl 1302.37056Albeverio, S.; Rozikov, U. A.; Sattarov, I. A. 13 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. 13 2012 On models with uncountable set of spin values on a Cayley tree: integral equations. Zbl 1252.82034Rozikov, Utkir A.; Eshkobilov, Yusup Kh. 12 2010 A constructive description of ground states and Gibbs measures for Ising model with two-step interactions on Cayley tree. Zbl 1149.82008Rozikov, U. A. 12 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. 12 2002 \(p\)-adic Gibbs measures and Markov random fields on countable graphs. Zbl 1286.82013Rozikov, U. A.; Khakimov, O. N. 11 2013 Dynamics of two-dimensional evolution algebras. Zbl 1297.37011Rozikov, U. A.; Murodov, Sh. N. 11 2013 On \(p\)-adic Gibbs measures for hard core model on a Cayley tree. Zbl 1281.82006Gandolfo, Daniel; Rozikov, Utkir A.; Ruiz, Jean 11 2012 On dynamics of \(\ell\)-Volterra quadratic stochastic operators. Zbl 1342.92199Rozikov, U. A.; Zada, A. 11 2010 On quadratic stochastic operators generated by Gibbs distributions. Zbl 1164.37309Ganikhodzhaev, N. N.; Rozikov, U. A. 11 2006 On \(q\)-component models on Cayley tree: contour method. Zbl 1076.82509Rozikov, U. A. 11 2005 On the uniqueness of Gibbs measures for \(p\)-adic nonhomogeneous \({\lambda}\)-model on the Cayley tree. Zbl 1065.46057Khamraev, Murod; Mukhamedov, Farruh; Rozikov, Utkir 11 2004 On a nonlinear \(p\)-adic dynamical system. Zbl 1347.37148Rozikov, U. A.; Sattarov, I. A. 10 2014 Dibaric and evolution algebras in biology. Zbl 1370.17034Ladra, M.; Omirov, B. A.; Rozikov, U. A. 10 2014 Periodic Gibbs measures for the Potts model on the Cayley tree. Zbl 1286.82006Rozikov, U. A.; Khakimov, R. M. 10 2013 Fertile HC models with three states on a Cayley tree. Zbl 1157.82312Rozikov, U. A.; Shoyusupov, Sh. A. 10 2008 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. 9 2015 On non-Volterra quadratic stochastic operators generated by a product measure. Zbl 1161.37365Rozikov, U. A.; Shamsiddinov, N. B. 9 2009 A contour method on Cayley trees. Zbl 1214.82020Rozikov, U. A. 9 2008 On real chains of evolution algebras. Zbl 1361.17030Omirov, B. A.; Rozikov, U. A.; Tulenbayev, K. M. 8 2015 One-dimensional Ising models with long range interactions: cluster expansion, phase-separating point. Zbl 1297.82006Cassandro, Marzio; Merola, Immacolata; Picco, Pierre; Rozikov, Utkir 8 2014 Chain of evolution algebras of “chicken” population. Zbl 1288.17023Rozikov, U. A.; Murodov, Sh. N. 8 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. 8 2013 Volterra quadratic stochastic operators of a two-sex population. Zbl 1232.47060Rozikov, U. A.; Zhamilov, U. U. 8 2011 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. 7 2013 On free energies of the Ising model on the Cayley tree. Zbl 1273.82013Gandolfo, D.; Rakhmatullaev, M. M.; Rozikov, U. A.; Ruiz, J. 7 2013 Gibbs measures for the SOS model with four states on a Cayley tree. Zbl 1177.82031Rozikov, U. A.; Shoyusupov, Sh. A. 7 2006 A description of harmonic functions via properties of the group representation of the Cayley tree. Zbl 1187.43005Normatov, É. P.; Rozikov, U. A. 7 2006 On cubic operators defined on finite-dimensional simplexes. Zbl 1075.37540Rozikov, U. A.; Khamraev, A. Yu. 7 2004 On disordered phase in the ferromagnetic Potts model on the Bethe lattice. Zbl 0980.82006Ganikodhjaev, Nasir; Rozikov, Utkir 7 2000 Fuzzy transformations and extremality of Gibbs measures for the Potts model on a Cayley tree. Zbl 1368.05068Külske, Christof; Rozikov, Utkir A. 6 2017 New phase transitions of the Ising model on Cayley trees. Zbl 1292.82005Gandolfo, D.; Haydarov, F. H.; Rozikov, U. A.; Ruiz, J. 6 2013 Gibbs measures on Cayley trees: results and open problems. Zbl 1268.60122Rozikov, Utkir A. 6 2013 Representability of trees and some of their applications. Zbl 1028.82008Rozikov, U. A. 6 2002 Random walks in random media on a Cayley tree. Zbl 0998.60044Rozikov, U. A. 6 2001 Extremality of translation-invariant phases for a three-state SOS-model on the binary tree. Zbl 1357.82023Kuelske, C.; Rozikov, U. A. 5 2015 Periodic Gibbs measures for models with uncountable set of spin values on a Cayley tree. Zbl 1311.82005Rozikov, U. A.; Haydarov, F. H. 5 2015 On construction and a class of non-Volterra cubic stochastic operators. Zbl 1322.37018Rozikov, U. A.; Khamraev, A. Yu. 5 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. 5 2014 A new set of limiting Gibbs measures for the Ising model on a Cayley tree. Zbl 1211.82010Akin, H.; Rozikov, U. A.; Temir, S. 5 2011 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. 5 2006 Constrained evolution algebras and dynamical systems of a bisexual population. Zbl 1382.17022Dzhumadil’daev, A.; Omirov, B. A.; Rozikov, U. A. 4 2016 On a class of evolution algebras of “chicken” population. Zbl 1339.17022Dzhumadil’daev, A.; Omirov, B. A.; Rozikov, U. A. 4 2014 The uniqueness condition for a weakly periodic Gibbs measure for the hard-core model. Zbl 1282.82017Rozikov, U. A.; Khakimov, R. M. 4 2012 On \(l\)-Volterra quadratic stochastic operators. Zbl 1263.47073Rozikov, U. A.; Zada, A. 4 2009 Potts model with competing interactions on the Cayley tree: The contour method. Zbl 1157.82308Botirov, G. I.; Rozikov, U. A. 4 2007 Countably periodic Gibbs measures of the Ising model on the Cayley tree. Zbl 1031.82016Rozikov, U. A. 4 2002 \(p\)-adic dynamical systems of (2,2)-rational functions with unique fixed point. Zbl 1380.37155Rozikov, U. A.; Sattarov, I. A. 3 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. 3 2017 Flow of finite-dimensional algebras. Zbl 1406.17048Ladra, 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 polynomial \(p\)-adic dynamical system. Zbl 1294.37033Mukhamedov, F. M.; Rozikov, U. A. 3 2012 Description of periodic \(p\)-harmonic functions on Cayley tree. Zbl 1188.31004Rozikov, Utkir A.; Ishankulov, Farruh T. 3 2010 Description of limit Gibbs measures for \(\lambda\)-models on Bethe lattices. Zbl 1071.82523Rozikov, U. A. 3 1998 \(p\)-adic dynamical systems of the function \(\frac{ax}{x^2+a}\). Zbl 1441.37105Rozikov, U. A.; Sattarov, I. A.; Yam, S. 2 2019 Ocean ecosystem discrete time dynamics generated by \(\ell\)-Volterra operators. Zbl 07036869Rozikov, U. A.; Shoyimardonov, S. K. 2 2019 A discrete-time dynamical system and an evolution algebra of mosquito population. Zbl 1409.92210Rozikov, U. A.; Velasco, M. V. 2 2019 An introduction to mathematical billiards. Zbl 1417.37028Rozikov, Utkir A. 2 2019 Tree-hierarchy of DNA and distribution of Holliday junctions. Zbl 1383.92060Rozikov, U. A. 2 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. 2 2017 Algebras of cubic matrices. Zbl 1369.16030Ladra, M.; Rozikov, U. A. 2 2017 Gibbs measures for the fertile three-state hard-core models on a Cayley tree. Zbl 1369.82010Rozikov, U. A.; Khakimov, R. M. 2 2015 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 Nonuniqueness of a Gibbs measure for a model on the Cayley tree. Zbl 1274.82025Rozikov, U. A.; Madgoziev, G. T. 2 2011 On a class of separable quadratic stochastic operators. Zbl 1267.37057Rozikov, U. A.; Zada, A. 2 2011 Separable quadratic stochastic operators. Zbl 1304.37033Rozikov, U. A.; Nazir, S. 2 2010 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. 2 2007 Periodic Gibbs measures for the Ising model with competing interactions. Zbl 1178.82019Nazarov, Kh. A.; Rozikov, U. A. 2 2003 A group representation of the Cayley forest and some of its applications. Zbl 1065.82005Ganikhodzhaev, N. N.; Rozikov, U. A. 2 2003 Periodic Gibbs measures of the inhomogeneous Ising model on trees. Zbl 1002.82004Rozikov, U. A. 2 2001 Analytic methods in the theory of quantum quadratic stochastic processes. Zbl 1165.81336Ganikhodjaev, N. N.; Mukhamedov, F. M.; Rozikov, U. A. 2 2000 The disordered phase of the inhomogeneous Potts model in extremal on the Cayley tree. Zbl 1115.82321Mukhamedov, F. M.; Rozikov, U. A. 2 2000 Dynamics of a population with two equal dominated species. Zbl 1448.37123Rozikov, U. A.; Usmonov, J. B. 1 2020 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. 1 2019 Dynamics of a population with two equal dominated species. Zbl 1448.37123Rozikov, U. A.; Usmonov, J. B. 1 2020 \(p\)-adic dynamical systems of the function \(\frac{ax}{x^2+a}\). Zbl 1441.37105Rozikov, U. A.; Sattarov, I. A.; Yam, S. 2 2019 Ocean ecosystem discrete time dynamics generated by \(\ell\)-Volterra operators. Zbl 07036869Rozikov, U. A.; Shoyimardonov, S. K. 2 2019 A discrete-time dynamical system and an evolution algebra of mosquito population. Zbl 1409.92210Rozikov, U. A.; Velasco, M. V. 2 2019 An introduction to mathematical billiards. Zbl 1417.37028Rozikov, Utkir A. 2 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. 1 2019 Holliday junctions for the Potts model of DNA. Zbl 1403.05153Rozikov, Utkir 1 2018 Fuzzy transformations and extremality of Gibbs measures for the Potts model on a Cayley tree. Zbl 1368.05068Külske, Christof; Rozikov, Utkir A. 6 2017 \(p\)-adic dynamical systems of (2,2)-rational functions with unique fixed point. Zbl 1380.37155Rozikov, U. A.; Sattarov, I. A. 3 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. 3 2017 Flow of finite-dimensional algebras. Zbl 1406.17048Ladra, M.; Rozikov, U. A. 3 2017 Tree-hierarchy of DNA and distribution of Holliday junctions. Zbl 1383.92060Rozikov, U. A. 2 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. 2 2017 Algebras of cubic matrices. Zbl 1369.16030Ladra, M.; Rozikov, U. A. 2 2017 On subalgebras of an evolution algebra of a “chicken” population. Zbl 1430.17105Omirov, B. A.; Rozikov, U. A. 1 2017 Construction of a set of \(p\)-adic distributions. Zbl 1387.82028Rozikov, U. A.; Tugyonov, Z. T. 1 2017 Construction of flows of finite-dimensional algebras. Zbl 1421.17007Ladra, M.; Rozikov, U. A. 1 2017 Constrained evolution algebras and dynamical systems of a bisexual population. Zbl 1382.17022Dzhumadil’daev, A.; Omirov, B. A.; Rozikov, U. A. 4 2016 Dynamical systems generated by a gonosomal evolution operator. Zbl 1349.37090Rozikov, Utkir A.; Varro, Richard 1 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. 9 2015 On real chains of evolution algebras. Zbl 1361.17030Omirov, B. A.; Rozikov, U. A.; Tulenbayev, K. M. 8 2015 Extremality of translation-invariant phases for a three-state SOS-model on the binary tree. Zbl 1357.82023Kuelske, C.; Rozikov, U. A. 5 2015 Periodic Gibbs measures for models with uncountable set of spin values on a Cayley tree. Zbl 1311.82005Rozikov, U. A.; Haydarov, F. H. 5 2015 Gibbs measures for the fertile three-state hard-core models on a Cayley tree. Zbl 1369.82010Rozikov, U. A.; Khakimov, R. M. 2 2015 On evolution algebras. Zbl 1367.17026Casas, J. M.; Ladra, M.; Omirov, B. A.; Rozikov, U. A. 29 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. 19 2014 An evolution algebra in population genetics. Zbl 1292.17030Labra, A.; Ladra, M.; Rozikov, U. A. 15 2014 On a nonlinear \(p\)-adic dynamical system. Zbl 1347.37148Rozikov, U. A.; Sattarov, I. A. 10 2014 Dibaric and evolution algebras in biology. Zbl 1370.17034Ladra, M.; Omirov, B. A.; Rozikov, U. A. 10 2014 One-dimensional Ising models with long range interactions: cluster expansion, phase-separating point. Zbl 1297.82006Cassandro, Marzio; Merola, Immacolata; Picco, Pierre; Rozikov, Utkir 8 2014 Chain of evolution algebras of “chicken” population. Zbl 1288.17023Rozikov, U. A.; Murodov, Sh. N. 8 2014 On construction and a class of non-Volterra cubic stochastic operators. Zbl 1322.37018Rozikov, U. A.; Khamraev, A. Yu. 5 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. 5 2014 On a class of evolution algebras of “chicken” population. Zbl 1339.17022Dzhumadil’daev, A.; Omirov, B. A.; Rozikov, U. A. 4 2014 Exact solution of a generalized ANNNI model on a Cayley tree. Zbl 1304.82016Rozikov, U. A.; Akin, H.; Uğuz, S. 3 2014 Normal subgroups of finite index for the group representation of the Cayley tree. Zbl 1317.20028Rozikov, U. A.; Haydarov, F. H. 1 2014 Gibbs measures on Cayley trees. Zbl 1278.82002Rozikov, Utkir A. 68 2013 Evolution algebra of a bisexual population. Zbl 1293.17041Ladra, M.; Rozikov, U. A. 17 2013 On nilpotent index and dibaricity of evolution algebras. Zbl 1343.17021Casas, J. M.; Ladra, Manuel; Omirov, B. A.; Rozikov, U. A. 14 2013 \(p\)-adic \((2,1)\)-rational dynamical systems. Zbl 1302.37056Albeverio, S.; Rozikov, U. A.; Sattarov, I. A. 13 2013 \(p\)-adic Gibbs measures and Markov random fields on countable graphs. Zbl 1286.82013Rozikov, U. A.; Khakimov, O. N. 11 2013 Dynamics of two-dimensional evolution algebras. Zbl 1297.37011Rozikov, U. A.; Murodov, Sh. N. 11 2013 Periodic Gibbs measures for the Potts model on the Cayley tree. Zbl 1286.82006Rozikov, U. A.; Khakimov, R. M. 10 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. 8 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. 7 2013 On free energies of the Ising model on the Cayley tree. Zbl 1273.82013Gandolfo, D.; Rakhmatullaev, M. M.; Rozikov, U. A.; Ruiz, J. 7 2013 New phase transitions of the Ising model on Cayley trees. Zbl 1292.82005Gandolfo, D.; Haydarov, F. H.; Rozikov, U. A.; Ruiz, J. 6 2013 Gibbs measures on Cayley trees: results and open problems. Zbl 1268.60122Rozikov, Utkir A. 6 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. 13 2012 On \(p\)-adic Gibbs measures for hard core model on a Cayley tree. Zbl 1281.82006Gandolfo, Daniel; Rozikov, Utkir A.; Ruiz, Jean 11 2012 The uniqueness condition for a weakly periodic Gibbs measure for the hard-core model. Zbl 1282.82017Rozikov, U. A.; Khakimov, R. M. 4 2012 A polynomial \(p\)-adic dynamical system. Zbl 1294.37033Mukhamedov, F. M.; Rozikov, U. A. 3 2012 Quadratic stochastic operators and processes: results and open problems. Zbl 1242.60067Ganikhodzhaev, Rasul; Mukhamedov, Farrukh; Rozikov, Utkir 61 2011 A chain of evolution algebras. Zbl 1220.17026Casas, J. M.; Ladra, M.; Rozikov, U. A. 21 2011 Evolution algebras generated by Gibbs measures. Zbl 1260.46031Rozikov, U. A.; Tian, J. P. 14 2011 Volterra quadratic stochastic operators of a two-sex population. Zbl 1232.47060Rozikov, U. A.; Zhamilov, U. U. 8 2011 A new set of limiting Gibbs measures for the Ising model on a Cayley tree. Zbl 1211.82010Akin, H.; Rozikov, U. A.; Temir, S. 5 2011 Nonuniqueness of a Gibbs measure for a model on the Cayley tree. Zbl 1274.82025Rozikov, U. A.; Madgoziev, G. T. 2 2011 On a class of separable quadratic stochastic operators. Zbl 1267.37057Rozikov, U. A.; Zada, A. 2 2011 System of recursive equations for the partition functions of 1D models. Zbl 1257.82030Rozikov, U. A. 1 2011 On models with uncountable set of spin values on a Cayley tree: integral equations. Zbl 1252.82034Rozikov, Utkir A.; Eshkobilov, Yusup Kh. 12 2010 On dynamics of \(\ell\)-Volterra quadratic stochastic operators. Zbl 1342.92199Rozikov, U. A.; Zada, A. 11 2010 Description of periodic \(p\)-harmonic functions on Cayley tree. Zbl 1188.31004Rozikov, Utkir A.; Ishankulov, Farruh T. 3 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. 16 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. 15 2009 On Ising model with four competing interactions on Cayley tree. Zbl 1185.60112Ganikhodjaev, N. N.; Rozikov, U. A. 15 2009 On non-Volterra quadratic stochastic operators generated by a product measure. Zbl 1161.37365Rozikov, U. A.; Shamsiddinov, N. B. 9 2009 On \(l\)-Volterra quadratic stochastic operators. Zbl 1263.47073Rozikov, U. A.; Zada, A. 4 2009 \(F\)-quadratic stochastic operators. Zbl 1167.92023Rozikov, U. A.; Zhamilov, U. U. 19 2008 Description of weakly periodic Gibbs measures for the Ising model on a Cayley tree. Zbl 1157.82311Rozikov, U. A.; Rakhmatullaev, M. M. 15 2008 Fertile HC models with three states on a Cayley tree. Zbl 1157.82312Rozikov, U. A.; Shoyusupov, Sh. A. 10 2008 A contour method on Cayley trees. Zbl 1214.82020Rozikov, U. A. 9 2008 Potts model with competing interactions on the Cayley tree: The contour method. Zbl 1157.82308Botirov, G. I.; Rozikov, U. A. 4 2007 On contour arguments for the three state Potts model with competing interactions on a semi-infinite Cayley tree. Zbl 1121.82014Mukhamedov, Farrukh; Rozikov, Utkir; Mendes, José F. F. 2 2007 The Potts model with countable set of spin values on a Cayley tree. Zbl 1101.82003Ganikhodjaev, N. N.; Rozikov, U. A. 26 2006 Gibbs measures for SOS models on a Cayley tree. Zbl 1106.60081Rozikov, U. A.; Suhov, Y. M. 17 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. 12 2006 On quadratic stochastic operators generated by Gibbs distributions. Zbl 1164.37309Ganikhodzhaev, N. N.; Rozikov, U. A. 11 2006 Gibbs measures for the SOS model with four states on a Cayley tree. Zbl 1177.82031Rozikov, U. A.; Shoyusupov, Sh. A. 7 2006 A description of harmonic functions via properties of the group representation of the Cayley tree. Zbl 1187.43005Normatov, É. P.; Rozikov, U. A. 7 2006 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. 5 2006 On \(q\)-component models on the Cayley tree: the general case. Zbl 1456.82096Botirov, G. I.; Rozikov, U. A. 1 2006 On inhomogeneous \(p\)-adic Potts model on a Cayley tree. Zbl 1096.82007Mukhamedov, Farrukh; Rozikov, Utkir 26 2005 A three state hard-core model on a Cayley tree. Zbl 1171.82308Martin, James; Rozikov, Utkir; Suhov, Yuri 16 2005 On Gibbs measures of models with competing ternary and binary interactions and corresponding von Neumann algebras. II. Zbl 1071.82017Mukhamedov, Farruh; Rozikov, Utkir 16 2005 On \(q\)-component models on Cayley tree: contour method. Zbl 1076.82509Rozikov, U. A. 11 2005 On Gibbs measures of \(p\)-adic Potts model on the Cayley tree. Zbl 1161.82311Mukhamedov, Farruh M.; Rozikov, Utkir A. 35 2004 A hard-core model on a Cayley tree: an example of a loss network. Zbl 1139.90338Suhov, Y.; Rozikov, U. A. 31 2004 On Gibbs measures of models with competing ternary and binary interactions and corresponding von Neumann algebras. Zbl 1061.82007Mukhamedov, Farruh; Rozikov, Utkir 23 2004 On rational \(p\)-adic dynamical systems. Zbl 1053.37022Mukhamedov, Farruh; Rozikov, Utkir 17 2004 On the uniqueness of Gibbs measures for \(p\)-adic nonhomogeneous \({\lambda}\)-model on the Cayley tree. Zbl 1065.46057Khamraev, Murod; Mukhamedov, Farruh; Rozikov, Utkir 11 2004 On cubic operators defined on finite-dimensional simplexes. Zbl 1075.37540Rozikov, U. A.; Khamraev, A. Yu. 7 2004 Periodic Gibbs measures for the Ising model with competing interactions. Zbl 1178.82019Nazarov, Kh. A.; Rozikov, U. A. 2 2003 A group representation of the Cayley forest and some of its applications. Zbl 1065.82005Ganikhodzhaev, N. N.; Rozikov, U. A. 2 2003 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. 12 2002 Representability of trees and some of their applications. Zbl 1028.82008Rozikov, U. A. 6 2002 Countably periodic Gibbs measures of the Ising model on the Cayley tree. Zbl 1031.82016Rozikov, U. A. 4 2002 ...and 13 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 212 Authors 89 Rozikov, Utkir A. 70 Mukhamedov, Farruh Maksutovich 20 Khakimov, Otabek N. 16 Ladra González, Manuel 16 Omirov, Bakhrom A. 16 Saburov, Mansoor 15 Rahmatullaev, Muzaffar 14 Jamilov, Uygun U. 12 Ganikhodjaev, Nasir Nabievich 10 Botirov, Golibjon I. 10 Haydarov, Farhod Halimjonovich 9 Khakimov, Rustamjon M. 7 Embong, Ahmad Fadillah 7 Paniello, Irene 7 Qaralleh, Izzat 6 Akin, Hasan 6 Khakimov, Rustam M. 6 Külske, Christof 6 Liao, Lingmin 6 Sattarov, Iskandar A. 6 Souissi, Abdessatar 6 Velasco, Maria Victoria 5 Cabrera Casado, Yolanda 5 Eshkabilov, Yusup Khalbaevich 5 Gandolfo, Daniel 5 Ganikhodzhaev, Rasul N. 4 Bissacot, Rodrigo 4 Casas Miras, José Manuel 4 Endo, Eric Ossami 4 Fan, Shilei 4 Khatamov, N. M. 4 Pah, Chin Hee 4 Pułka, Małgorzata 4 Ruiz, Jean 4 Saburov, Mansur Kh. 4 Siles Molina, Mercedes 4 van Enter, Aernout C. D. 3 Accardi, Luigi 3 Ahmad, Mohd Ali Khameini 3 Barhoumi, Abdessatar 3 Bartoszek, Krzysztof 3 El Gheteb, Soueidy 3 Khamraev, Murod 3 Khrennikov, Andreĭ Yur’evich 3 Khudoyberdiyev, Abror Kh. 3 Mendes, José F. F. 3 Murodov, Sherzod Normonovich 3 Pirnapasov, Abror T. 3 Rasulova, M. A. 3 Scheutzow, Michael K. R. 3 Shahidi, Farruh 3 Tugyonov, Zohid T. 2 Abdulghafor, Rawad 2 Cadavid, Paula 2 Camacho, Luisa Maria 2 Doğan, Mutlay 2 Dragovich, Branko 2 Dzhumadil’daev, Askar Serkulovich 2 Falcón Ganfornina, Óscar Jesús 2 Falcón Ganfornina, Raúl Manuel 2 Fan, Ai Hua 2 Hu, Yueyun 2 Ishankulov, Farruh T. 2 Jahnel, Benedikt 2 Kozyrev, Sergeĭ Vladimirovich 2 Labra, Alicia 2 Le Ny, Arnaud 2 Madgoziev, G. T. 2 Nodirov, Shohruh Dilmurodovich 2 Núñez-Valdés, Juan 2 Ouattara, Moussa 2 Picco, Pierre 2 Reinfelds, Andrejs 2 Rodiño Montoya, Mary Luz 2 Rodríguez, Pablo M. 2 Savadogo, Souleymane 2 Shi, Zhan 2 Shlosman, Senya B. 2 Shoyusupov, Sh. A. 2 Suhov, Yurii Mikhailovich 2 Temir, Seyit 2 Tian, Jianjun Paul 2 Turaev, Sherzod 2 Volovich, Igor’ Vasil’evich 2 Wang, Yuefei 2 Zada, Akbar 2 Zeki, Akram 2 Zhamilov, U. U. 1 Abdalrhman Mohammed, Sarra 1 Abdelwahab, Hani 1 Abduganiev, Abduaziz 1 Abraev, B. U. 1 Abu Osman, M. T. 1 Ahmad, Muhammad Zaini 1 Ahmed, Hussein S. 1 Akhtamaliyev, Shamshod A. 1 Al-Kaseasbeh, Saba 1 Al-shaikhli, Imad Fakhri 1 Al-Shutnawi, Basma 1 Albeverio, Sergio A. ...and 112 more Authors all top 5 Cited in 96 Serials 39 Theoretical and Mathematical Physics 21 Journal of Statistical Physics 15 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 14 Linear Algebra and its Applications 12 Lobachevskii Journal of Mathematics 11 Mathematical Physics, Analysis and Geometry 9 Mathematical Notes 9 Qualitative Theory of Dynamical Systems 8 Linear and Multilinear Algebra 6 Journal of Mathematical Physics 6 Bulletin of the Malaysian Mathematical Sciences Society. 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