Edit Profile (opens in new tab) Mukhamedov, Farruh Maksutovich Compute Distance To: Compute Author ID: mukhamedov.farruh-m Published as: Mukhamedov, Farrukh; Mukhamedov, F. M.; Mukhamedov, F.; Mukhamedov, Farruh; Mukhamedov, Farrukh M.; Mukhamedov, Farruh M. more...less Homepage: https://cos.uaeu.ac.ae/en/departments/mathematical/profile.shtml?email=Farrukh.M... External Links: MGP · Google Scholar · ResearchGate · Math-Net.Ru Documents Indexed: 221 Publications since 1997, including 1 Book 1 Contribution as Editor Reviewing Activity: 262 Reviews Co-Authors: 61 Co-Authors with 176 Joint Publications 751 Co-Co-Authors all top 5 Co-Authors 45 single-authored 23 Saburov, Mansoor 20 Khakimov, Otabek N. 15 Rozikov, Utkir A. 14 Akin, Hasan 14 Ganikhodjaev, Nasir Nabievich 13 Embong, Ahmad Fadillah 12 Souissi, Abdessatar 11 Accardi, Luigi 8 Temir, Seyit 7 Ganiev, Inomjon 6 Abduganiev, Abduaziz 6 Qaralleh, Izzat 5 El Gheteb, Soueidy 5 Ganikhodzhaev, Rasul N. 5 Mendes, José F. F. 5 Pah, Chin Hee 4 Al-Rawashdeh, Ahmad Saleh 4 Erkurşun Özcan, Nazife 4 Fidaleo, Francesco 4 Kudaĭbergenov, Karimbergen Kadirbergenovich 4 Omirov, Bakhrom A. 3 Barhoumi, Abdessatar 3 Doğan, Mutlay 3 Karimov, Abdusalom 3 Khamraev, Murod 3 Saburov, Mansur Kh. 3 Watanabe, Noboru 2 Bekbaev, Dilmurod 2 Dhahri, Ameur 2 Hamdi, Tarek 2 Jamil, Hakim 2 Jamilov, Uygun U. 2 Karimov, A. K. 2 Khrennikov, Andreĭ Yur’evich 2 Mukhamedov, M. A. 2 Ohmura, Kyouhei 2 Pirnapasov, Abror T. 2 Rahmatullaev, Muzaffar 2 Rosli, Azizi 1 Alimov, Akrom Akbarovich 1 Almazrouei, Shamma A. Y. 1 Artikbaev, A. 1 Ayupov, Shavkat Abdullaevich 1 Bekboev, U. 1 Chilin, Vladimir Ivanovich 1 Chruściński, Dariusz 1 Duvenhage, Rocco 1 Hajji, Mohamed Ali 1 Khakimov, O. Kh. 1 Litvinov, Semyon N. 1 Masutova, K. K. 1 Mukhamedov, Maksut 1 Ohno, Hiromichi 1 Ostilli, Massimo 1 Rafeiro, Humberto 1 Rakhimov, Isamiddin Sattarovich 1 Rasulova, M. A. 1 Supar, Nurul Akma 1 Syam, Sondos M. 1 Taha, Muhammad Hafizuddin Bin Mohd 1 Zakirov, B. S. all top 5 Serials 9 Infinite Dimensional Analysis, Quantum Probability and Related Topics 8 Journal of Mathematical Analysis and Applications 8 Theoretical and Mathematical Physics 8 Journal of Statistical Mechanics: Theory and Experiment 7 Mathematical Notes 7 Open Systems & Information Dynamics 5 Journal of Statistical Physics 5 Positivity 5 Doklady Akademii Nauk Respubliki Uzbekistan. Matematika, Tekhnicheskie Nauki, Estestvoznanie 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Linear and Multilinear Algebra 4 Mathematical Physics, Analysis and Geometry 4 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 3 Journal of Mathematical Physics 3 Reports on Mathematical Physics 3 Russian Mathematical Surveys 3 Linear Algebra and its Applications 3 Turkish Journal of Mathematics 3 Izvestiya: Mathematics 3 Methods of Functional Analysis and Topology 3 Uzbekskiĭ Matematicheskiĭ Zhurnal 3 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 3 Qualitative Theory of Dynamical Systems 3 Quantum Information Processing 3 Proceedings of the Steklov Institute of Mathematics 3 Banach Journal of Mathematical Analysis 2 Communications in Algebra 2 Mathematical Methods in the Applied Sciences 2 Nonlinearity 2 Physica A 2 Chaos, Solitons and Fractals 2 Functional Analysis and its Applications 2 Results in Mathematics 2 Bulletin of the Korean Mathematical Society 2 Probability and Mathematical Statistics 2 Acta Mathematica Hungarica 2 Applied Mathematics Letters 2 Sbornik: Mathematics 2 Doklady Mathematics 2 Abstract and Applied Analysis 2 Journal of Inequalities and Applications 2 Lobachevskii Journal of Mathematics 2 Annales Henri Poincaré 2 Mediterranean Journal of Mathematics 2 Applied Mathematics & Information Sciences 2 Malaysian Journal of Mathematical Sciences 2 Advances in Operator Theory 1 Bulletin of the Australian Mathematical Society 1 International Journal of Theoretical Physics 1 Letters in Mathematical Physics 1 Periodica Mathematica Hungarica 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Ukrainian Mathematical Journal 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Reviews in Mathematical Physics 1 Colloquium Mathematicum 1 Commentationes Mathematicae Universitatis Carolinae 1 Glasgow Mathematical Journal 1 Journal of Differential Equations 1 Journal of Number Theory 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Quaestiones Mathematicae 1 Siberian Mathematical Journal 1 Studia Scientiarum Mathematicarum Hungarica 1 Southeast Asian Bulletin of Mathematics 1 Ergodic Theory and Dynamical Systems 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Indagationes Mathematicae. New Series 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Fractals 1 Journal of Difference Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Revista Matemática Complutense 1 Dynamical Systems 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Journal of Algebra and its Applications 1 Miskolc Mathematical Notes 1 Fixed Point Theory and Applications 1 The Australian Journal of Mathematical Analysis and Applications 1 International Journal of Number Theory 1 Journal of Applied Functional Analysis 1 Lecture Notes in Mathematics 1 JP Journal of Fixed Point Theory and Applications 1 Asian-European Journal of Mathematics 1 Annals of Functional Analysis 1 Eurasian Mathematical Journal 1 Bulletin of Mathematical Sciences 1 Springer Proceedings in Mathematics & Statistics all top 5 Fields 93 Functional analysis (46-XX) 93 Operator theory (47-XX) 69 Statistical mechanics, structure of matter (82-XX) 62 Probability theory and stochastic processes (60-XX) 41 Quantum theory (81-XX) 40 Dynamical systems and ergodic theory (37-XX) 20 Measure and integration (28-XX) 13 Combinatorics (05-XX) 13 Number theory (11-XX) 12 Difference and functional equations (39-XX) 10 Biology and other natural sciences (92-XX) 9 Nonassociative rings and algebras (17-XX) 8 Field theory and polynomials (12-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Information and communication theory, circuits (94-XX) 5 Integral equations (45-XX) 3 General topology (54-XX) 2 Group theory and generalizations (20-XX) 2 Functions of a complex variable (30-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 177 Publications have been cited 1,287 times in 346 Documents Cited by ▼ Year ▼ Quadratic stochastic operators and processes: results and open problems. Zbl 1242.60067Ganikhodzhaev, Rasul; Mukhamedov, Farrukh; Rozikov, Utkir 102 2011 On Gibbs measures of \(p\)-adic Potts model on the Cayley tree. Zbl 1161.82311Mukhamedov, Farruh M.; Rozikov, Utkir A. 39 2004 Quantum quadratic operators and processes. Zbl 1335.60002Mukhamedov, Farrukh; Ganikhodjaev, Nasir 35 2015 On inhomogeneous \(p\)-adic Potts model on a Cayley tree. Zbl 1096.82007Mukhamedov, Farrukh; Rozikov, Utkir 31 2005 On \(p\)-adic Gibbs measures of the countable state Potts model on the Cayley tree. Zbl 1139.46050Khrennikov, A. Yu; Mukhamedov, F. M.; Mendes, J. F. F. 30 2007 On Gibbs measures of models with competing ternary and binary interactions and corresponding von Neumann algebras. Zbl 1061.82007Mukhamedov, Farruh; Rozikov, Utkir 29 2004 On dynamical systems and phase transitions for \(q + 1\)-state \(p\)-adic Potts model on the Cayley tree. Zbl 1280.46047Mukhamedov, Farrukh 27 2013 Markov states and chains on the CAR algebra. Zbl 1125.46050Accardi, Luigi; Fidaleo, Francesco; Mukhamedov, Farruh 22 2007 A dynamical system approach to phase transitions for \(p\)-adic Potts model on the Cayley tree of order two. Zbl 1271.82018Mukhamedov, Farrukh 21 2012 On \(p\)-adic quasi Gibbs measures for \(q+1\)-state Potts model on the Cayley tree. Zbl 1268.82007Mukhamedov, Farrukh 20 2010 On a class of rational \(p\)-adic dynamical systems. Zbl 1085.37040Khamraev, Murod; Mukhamedov, Farrukh 20 2006 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 Quantum Markov fields on graphs. Zbl 1211.46072Accardi, Luigi; Ohno, Hiromichi; Mukhamedov, Farrukh 19 2010 On \(p\)-adic \(\lambda\)-model on the Cayley tree. Zbl 1064.82006Khamraev, Murod; Mukhamedov, Farruh 18 2004 On rational \(p\)-adic dynamical systems. Zbl 1053.37022Mukhamedov, Farruh; Rozikov, Utkir 18 2004 On a factor associated with the unordered phase of \(\lambda\)-model on a Cayley tree. Zbl 1135.82305Mukhamedov, Farruh 17 2004 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 the existence of generalized Gibbs measures for the one-dimensional \(p\)-adic countable state Potts model. Zbl 1187.82027Mukhamedov, Farrukh 17 2009 The Dobrushin ergodicity coefficient and the ergodicity of noncommutative Markov chains. Zbl 1312.46054Mukhamedov, Farrukh 16 2013 On quantum Markov chains on Cayley tree I: Uniqueness of the associated chain with \(XY\)-model on the Cayley tree of order two. Zbl 1239.46044Accardi, Luigi; Mukhamedov, Farrukh; Saburov, Mansoor 15 2011 On \(L_1\)-weak ergodicity of nonhomogeneous discrete Markov processes and its applications. Zbl 1334.60145Mukhamedov, Farrukh 15 2013 On infinite dimensional quadratic Volterra operators. Zbl 1121.47065Mukhamedov, Farruh; Akin, Hasan; Temir, Seyit 14 2005 Strict weak mixing of some \(C^{*}\)-dynamical systems based on free shifts. Zbl 1126.46044Fidaleo, Francesco; Mukhamedov, Farrukh 14 2007 The \(p\)-adic Potts model on the Cayley tree of order three. Zbl 1286.82004Mukhamedov, F.; Akin, H. 14 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 Phase transitions for quantum Markov chains associated with Ising type models on a Cayley tree. Zbl 1348.82034Mukhamedov, Farrukh; Barhoumi, Abdessatar; Souissi, Abdessatar 13 2016 On nonergodic uniform Lotka-Volterra operators. Zbl 1503.47014Mukhamedov, F. M.; Jamilov, U. U.; Pirnapasov, A. T. 13 2019 On quantum Markov chains on Cayley tree. II: Phase transitions for the associated chain with \(XY\)-model on the Cayley tree of order three. Zbl 1237.82009Accardi, Luigi; Mukhamedov, Farrukh; Saburov, Mansoor 13 2011 On the decomposition of quantum quadratic stochastic processes into layer-Markov processes defined on von Neumann algebras. Zbl 1074.46046Mukhamedov, F. M. 12 2004 Phase transition and chaos: \(p\)-adic Potts model on a Cayley tree. Zbl 1355.37106Mukhamedov, Farrukh; Khakimov, Otabek 12 2016 Ergodic properties of nonhomogeneous Markov chains defined on ordered Banach spaces with a base. Zbl 1363.47016Mukhamedov, F. 11 2015 On quantum Markov chains on Cayley tree. III: Ising model. Zbl 1316.46046Accardi, Luigi; Mukhamedov, Farrukh; Saburov, Mansoor 11 2014 Diagonalizability of non-homogeneous quantum Markov states and associated von Neumann algebras. Zbl 1088.46038Fidaleo, Francesco; Mukhamedov, Farruh 11 2004 On equation \(x^q=a\) over \(\mathbb Q_p\). Zbl 1293.11062Mukhamedov, Farrukh; Saburov, Mansoor 11 2013 Stability and monotonicity of Lotka-Volterra type operators. Zbl 1383.92072Mukhamedov, Farrukh; Saburov, Mansoor 11 2017 Orthogonal-preserving and surjective cubic stochastic operators. Zbl 1489.47085Mukhamedov, Farrukh; Embong, Ahmad Fadillah; Rosli, Azizi 11 2017 On non-ergodic Volterra cubic stochastic operators. Zbl 1443.37005Mukhamedov, Farrukh; Pah, Chin Hee; Rosli, Azizi 11 2019 On the ergodic principle for Markov and quadratic stochastic processes and its relations. Zbl 1096.60038Ganikhodjaev, Nasir; Akin, Hasan; Mukhamedov, Farrukh 11 2006 On dynamics of Lotka-Volterra type operators. Zbl 1303.47079Mukhamedov, Farrukh; Saburov, Mansoor 11 2014 On cubic equations over \(p\)-adic fields. Zbl 1307.11124Mukhamedov, Farrukh; Omirov, Bakhrom; Saburov, Mansoor 11 2014 Uniform stability and weak ergodicity of nonhomogeneous Markov chains defined on ordered Banach spaces with a base. Zbl 1338.60185Mukhamedov, Farrukh 11 2016 On an algebraic property of the disordered phase of the Ising model with competing interactions on a Cayley tree. Zbl 1413.46060Mukhamedov, Farrukh; Barhoumi, Abdessatar; Souissi, Abdessatar 10 2016 Quantum Markov states on Cayley trees. Zbl 1418.46029Mukhamedov, Farrukh; Souissi, Abdessatar 10 2019 Chaotic behavior of the \(p\)-adic Potts-Bethe mapping. Zbl 1372.37022Mukhamedov, Farrukh; Khakimov, Otabek 10 2018 Ergodic properties of discrete quadratic stochastic processes defined on von Neumann algebras. Zbl 0977.60040Ganikhodzhaev, N. N.; Mukhamedov, F. M. 10 2000 Weak ergodicity of nonhomogeneous Markov chains on noncommutative \(L^1\)-spaces. Zbl 1276.47012Mukhamedov, Farrukh 10 2013 On periodic Gibbs measures of \(p\)-adic Potts model on a Cayley tree. Zbl 1356.82022Mukhamedov, F.; Khakimov, O. 9 2016 On non-Archimedean recurrence equations and their applications. Zbl 1303.39011Mukhamedov, Farrukh; Akın, Hasan 9 2015 On \(\xi^{(s)}\)-quadratic stochastic operators on two-dimensional simplex and their behavior. Zbl 1470.47031Mukhamedov, Farrukh; Saburov, Mansoor; Qaralleh, Izzat 9 2013 Generalized Dobrushin ergodicity coefficient and uniform ergodicities of Markov operators. Zbl 1497.47020Mukhamedov, Farrukh; Al-Rawashdeh, Ahmed 9 2020 On Volterra and orthogonality preserving quadratic stochastic operators. Zbl 1389.37030Mukhamedov, Farrukh; Taha, Muhammad Hafizuddin Bin Mohd 8 2016 On homotopy of Volterrian quadratic stochastic operators. Zbl 1217.47102Mukhamedov, Farrukh; Saburov, Mansoor 8 2010 Clustering property of quantum Markov chain associated to XY-model with competing Ising interactions on the Cayley tree of order two. Zbl 1421.46044Mukhamedov, Farrukh; El Gheteb, Soueidy 8 2019 Renormalization method in \(p\)-adic \(\lambda\)-model on the Cayley tree. Zbl 1334.82046Mukhamedov, Farrukh 8 2015 On a recursive equation over a \(p\)-adic field. Zbl 1154.39001Mukhamedov, Farrukh 8 2007 Solvability of cubic equations in \(p\)-adic integers \((p>3)\). Zbl 1294.11205Mukhamedov, F. M.; Omirov, B. A.; Saburov, M. Kh.; Masutova, K. K. 8 2013 On uniqueness of Gibbs measure for \(p\)-adic countable state Potts model on the Cayley tree. Zbl 1185.46051Khrennikov, Andrei; Mukhamedov, Farrukh 8 2009 Phase transitions for \(p\)-adic Potts model on the Cayley tree of order three. Zbl 1456.82825Mukhamedov, Farrukh; Akın, Hasan 7 2013 On \(b\)-bistochastic quadratic stochastic operators. Zbl 1398.60082Mukhamedov, Farrukh; Embong, Ahmad Fadillah 7 2015 Translation-invariant \(p\)-adic quasi-Gibbs measures for the Ising-Vannimenus model on a Cayley tree. Zbl 1342.82041Mukhamedov, F. M.; Saburov, M. Kh.; Khakimov, O. Kh. 7 2016 Uniqueness of quantum Markov chain associated with XY-Ising model on Cayley tree of order two. Zbl 1376.82019Mukhamedov, Farrukh; El Gheteb, Soueidy 7 2017 Infinite-dimensional quadratic Volterra operators. Zbl 1010.60061Mukhamedov, F. M. 7 2000 Derivations and automorphisms of nilpotent evolution algebras with maximal nilindex. Zbl 1456.17019Mukhamedov, Farrukh; Khakimov, Otabek; Omirov, Bakhrom; Qaralleh, Izzat 7 2019 Strong convergence of an explicit iteration process for a totally asymptotically \(I\)-nonexpansive mapping in Banach spaces. Zbl 1201.47064Mukhamedov, Farrukh; Saburov, Mansoor 7 2010 On surjective second order non-linear Markov operators and associated nonlinear integral equations. Zbl 1503.47085Mukhamedov, Farrukh; Khakimov, Otabek; Embong, Ahmad Fadillah 7 2018 Recurrence equations over trees in a non-Archimedean context. Zbl 1420.47027Mukhamedov, F. 7 2014 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. 7 2006 On \(P\)-adic \(\lambda\)-model on the Cayley tree. II: Phase transitions. Zbl 1321.82020Mukhamedov, Farrukh; Dogan, Mutlay 7 2015 On quantum quadratic operators of \(\mathbb M_2(\mathbb C)\) and their dynamics. Zbl 1210.47081Mukhamedov, Farrukh; Akın, Hasan; Temir, Seyit; Abduganiev, Abduaziz 6 2011 On metric properties of unconventional limit sets of contractive non-Archimedean dynamical systems. Zbl 1392.37112Mukhamedov, Farrukh; Khakimov, Otabek 6 2016 On Julia set and chaos in \(p\)-adic Ising model on the Cayley tree. Zbl 1413.46067Mukhamedov, Farrukh; Khakimov, Otabek 6 2017 On non-linear Markov operators: surjectivity vs orthogonal preserving property. Zbl 1500.47085Mukhamedov, Farrukh; Embong, Ahmad Fadillah 6 2018 Uniform ergodicities and perturbation bounds of Markov chains on base norm spaces. Zbl 1503.47013Erkurşun-Özcan, Nazife; Mukhamedov, Farrukh 6 2018 A few remarks on mixing properties of \(C^*\)-dynamical systems. Zbl 1155.46031Mukhamedov, Farrukh; Temir, Seyit 6 2007 On individual subsequential ergodic theorem in von Neumann algebras. Zbl 0973.46052Litvinov, Semyon; Mukhamedov, Farrukh 6 2001 Open quantum random walks, quantum Markov chains and recurrence. Zbl 1431.81082Dhahri, Ameur; Mukhamedov, Farrukh 6 2019 Genetic Volterra algebras and their derivations. Zbl 1417.17036Ganikhodzhaev, Rasul; Mukhamedov, Farrukh; Pirnapasov, Abror; Qaralleh, Izzat 6 2018 Ergodic properties of Bogoliubov automorphisms in free probability. Zbl 1202.37007Fidaleo, Francesco; Mukhamedov, Farrukh 6 2010 On stability properties of positive contractions of \(L^1\)-spaces associated with finite von Neumann algebras. Zbl 1121.47004Mukhamedov, Farrukh; Akin, Hasan; Temir, Seyit 6 2006 On \(p\)-adic Ising-Vannimenus model on an arbitrary order Cayley tree. Zbl 1456.82708Mukhamedov, Farrukh; Saburov, Mansoor; Khakimov, Otabek 5 2015 Phase diagram of the three states Potts model with next nearest neighbour interactions on the Bethe lattice. Zbl 1227.82044Ganikhodjaev, Nasir; Mukhamedov, Farrukh; Pah, Chin Hee 5 2008 A quantum Markov chain approach to phase transitions for quantum Ising model with competing XY-interactions on a Cayley tree. Zbl 1454.82012Mukhamedov, Farrukh; Barhoumi, Abdessatar; Souissi, Abdessatar; El Gheteb, Soueidy 5 2020 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. 5 2007 Uniform ergodicity of Lotz-Räbiger nets of Markov operators on abstract state spaces. Zbl 1503.47012Erkurşun Özcan, Nazife; Mukhamedov, Farrukh 5 2018 Open quantum random walks and quantum Markov chains. Zbl 1447.46050Dhahri, A.; Mukhamedov, F. 5 2019 On omega limiting sets of infinite dimensional Volterra operators. Zbl 1457.37018Mukhamedov, Farrukh; Khakimov, Otabek; Embong, Ahmad Fadillah 5 2020 Construction of a new class of quantum Markov fields. Zbl 1362.60065Accardi, Luigi; Mukhamedov, Farrukh; Souissi, Abdessatar 5 2016 Diagonalizability of quantum Markov states on trees. Zbl 1473.46073Mukhamedov, Farrukh; Souissi, Abdessatar 5 2021 On the chaotic behavior of a generalized logistic \(p\)-adic dynamical system. Zbl 1128.37031Mukhamedov, Farrukh; Mendes, José F. F. 5 2007 On the quantum quadratic stochastic processes and ergodic theorems for these processes. Zbl 0930.60023Ganikhodzhaev, N. N.; Mukhamedov, F. M. 4 1997 Uniqueness of quantum Markov chains associated with an \(XY\)-model on a Cayley tree of order 2. Zbl 1245.82018Accardi, L.; Mukhamedov, F. M.; Saburov, M. Kh. 4 2011 Weak and strong convergence of an implicit iteration process for an asymptotically quasi-I-nonexpansive mapping in Banach space. Zbl 1202.47080Mukhamedov, Farrukh; Saburov, Mansoor 4 2010 \(p\)-adic monomial equations and their perturbations. Zbl 1457.11162Mukhamedov, Farrukh M.; Khakimov, Otabek N. 4 2020 On \(L_1\)-weak ergodicity of nonhomogeneous continuous-time Markov processes. Zbl 1336.60152Mukhamedov, F. 4 2014 On multiparameter weighted ergodic theorem for noncommutative \(L_p\)-spaces. Zbl 1147.46039Mukhamedov, Farrukh; Mukhamedov, Maksut; Temir, Seyit 4 2008 On stable \(b\)-bistochastic quadratic stochastic operators and associated non-homogenous Markov chains. Zbl 1388.60125Mukhamedov, Farrukh; Embong, Ahmad Fadillah 4 2018 Existence of \(p\)-adic quasi Gibbs measure for countable state Potts model on the Cayley tree. Zbl 1281.46062Mukhamedov, Farrukh 4 2012 On pure quasi-quantum quadratic operators of \(\mathbb M_2(\mathbb C)\). Zbl 1280.81012Mukhamedov, Farrukh; Abduganiev, Abduaziz 4 2013 Types of factors generated by quantum Markov states of Ising model with competing interactions on the Cayley tree. Zbl 1461.46063Mukhamedov, Farrukh; Souissi, Abdessatar 4 2020 A note on noncommutative unique ergodicity and weighted means. Zbl 1155.47014Accardi, Luigi; Mukhamedov, Farrukh 4 2009 Generalized Dobrushin ergodicity coefficient and ergodicities of non-homogeneous Markov chains. Zbl 1489.47019Mukhamedov, Farrukh; Al-Rawashdeh, Ahmed 1 2022 Phase transition for the Ising model with mixed spins on a Cayley tree. Zbl 07531158Akin, Hasan; Mukhamedov, Farrukh 1 2022 Open quantum random walks and quantum Markov chains on trees. I: Phase transitions. Zbl 07597031Mukhamedov, Farrukh; Souissi, Abdessatar; Hamdi, Tarek 1 2022 Entropy of quantum Markov states on Cayley trees. Zbl 07604520Mukhamedov, Farrukh; Souissi, Abdessatar 1 2022 Diagonalizability of quantum Markov states on trees. Zbl 1473.46073Mukhamedov, Farrukh; Souissi, Abdessatar 5 2021 Volterra evolution algebras and their graphs. Zbl 1500.17028Qaralleh, Izzat; Mukhamedov, Farrukh 3 2021 Spectral conditions for uniform \(P\)-ergodicities of Markov operators on abstract states spaces. Zbl 07384200Erkurşun-Özcan, Nazife; Mukhamedov, Farrukh 2 2021 Refinement of quantum Markov states on trees. Zbl 07400651Mukhamedov, Farrukh; Souissi, Abdessatar 2 2021 Infinite dimensional orthogonality preserving nonlinear Markov operators. Zbl 07318843Mukhamedov, Farrukh; Embong, Ahmad Fadillah 2 2021 Translation-invariant generalized \(p\)-adic Gibbs measures for the Ising model on Cayley trees. Zbl 1477.82009Mukhamedov, Farrukh; Khakimov, Otabek 2 2021 Quantum Markov chains on comb graphs: Ising model. Zbl 1469.82011Mukhamedov, Farrukh; Souissi, Abdessatar; Hamdi, Tarek 1 2021 Approximations of non-homogeneous Markov chains on abstract states spaces. Zbl 07468893Mukhamedov, Farrukh; Al-Rawashdeh, Ahmed 1 2021 Projective surjectivity of quadratic stochastic operators on \(L^1\) and its application. Zbl 1491.47050Mukhamedov, Farrukh; Khakimov, O.; Embong, A. Fadillah 1 2021 Generalized Dobrushin ergodicity coefficient and uniform ergodicities of Markov operators. Zbl 1497.47020Mukhamedov, Farrukh; Al-Rawashdeh, Ahmed 9 2020 A quantum Markov chain approach to phase transitions for quantum Ising model with competing XY-interactions on a Cayley tree. Zbl 1454.82012Mukhamedov, Farrukh; Barhoumi, Abdessatar; Souissi, Abdessatar; El Gheteb, Soueidy 5 2020 On omega limiting sets of infinite dimensional Volterra operators. Zbl 1457.37018Mukhamedov, Farrukh; Khakimov, Otabek; Embong, Ahmad Fadillah 5 2020 \(p\)-adic monomial equations and their perturbations. Zbl 1457.11162Mukhamedov, Farrukh M.; Khakimov, Otabek N. 4 2020 Types of factors generated by quantum Markov states of Ising model with competing interactions on the Cayley tree. Zbl 1461.46063Mukhamedov, Farrukh; Souissi, Abdessatar 4 2020 Ergodicities of infinite dimensional nonlinear stochastic operators. Zbl 07259346Mukhamedov, Farrukh; Khakimov, Otabek; Embong, Ahmad Fadillah 3 2020 Factors generated by XY-model with competing Ising interactions on the Cayley tree. Zbl 1453.46057Mukhamedov, Farrukh; El Gheteb, Soueidy 3 2020 Few remarks on quasi quantum quadratic operators on \(\mathbb{M}_2(\mathbb{C})\). Zbl 1453.81028Mukhamedov, Farrukh; Syam, Sondos M.; Almazrouei, Shamma A. Y. 2 2020 On Kadison-Schwarz approximation to positive maps. Zbl 1480.81015Chruściński, Dariusz; Mukhamedov, Farrukh; Hajji, Mohamed Ali 2 2020 Classification of nilpotent evolution algebras and extensions of their derivations. Zbl 1480.17010Mukhamedov, Farrukh; Khakimov, Otabek; Qaralleh, Izzat 2 2020 On ground states and phase transition for \(\lambda\)-model with the competing Potts interactions on Cayley trees. Zbl 07572677Mukhamedov, Farrukh; Pah, Chin Hee; Jamil, Hakim; Rahmatullaev, Muzaffar 2 2020 Weighted strong laws of large numbers on variable exponent vector-valued Lebesgue spaces. Zbl 07367169Mukhamedov, Farrukh; Rafeiro, Humberto 1 2020 Weakly periodic ground states for the \(\lambda \)-model. Zbl 1453.82014Mukhamedov, F. M.; Rakhmatullaev, M. M.; Rasulova, M. A. 1 2020 Solvability of nonlinear integral equations and surjectivity of nonlinear Markov operators. Zbl 1452.45004Mukhamedov, Farrukh; Khakimov, Otabek; Embong, Ahmad Fadillah 1 2020 Stability estimates of Markov semigroups on abstract states spaces. Zbl 1442.47031Erkurşun-Özcan, Nazife; Mukhamedov, Farrukh 1 2020 1D three-state mean-field Potts model with first- and second-order phase transitions. Zbl 1496.82004Ostilli, Massimo; Mukhamedov, Farrukh 1 2020 On nonergodic uniform Lotka-Volterra operators. Zbl 1503.47014Mukhamedov, F. M.; Jamilov, U. U.; Pirnapasov, A. T. 13 2019 On non-ergodic Volterra cubic stochastic operators. Zbl 1443.37005Mukhamedov, Farrukh; Pah, Chin Hee; Rosli, Azizi 11 2019 Quantum Markov states on Cayley trees. Zbl 1418.46029Mukhamedov, Farrukh; Souissi, Abdessatar 10 2019 Clustering property of quantum Markov chain associated to XY-model with competing Ising interactions on the Cayley tree of order two. Zbl 1421.46044Mukhamedov, Farrukh; El Gheteb, Soueidy 8 2019 Derivations and automorphisms of nilpotent evolution algebras with maximal nilindex. Zbl 1456.17019Mukhamedov, Farrukh; Khakimov, Otabek; Omirov, Bakhrom; Qaralleh, Izzat 7 2019 Open quantum random walks, quantum Markov chains and recurrence. Zbl 1431.81082Dhahri, Ameur; Mukhamedov, Farrukh 6 2019 Open quantum random walks and quantum Markov chains. Zbl 1447.46050Dhahri, A.; Mukhamedov, F. 5 2019 Elliptic quadratic operator equations. Zbl 1477.15008Ganikhodzhaev, Rasul; Mukhamedov, Farrukh; Saburov, Mansoor 2 2019 Linear Lyapunov functions of infinite dimensional Volterra operators. Zbl 1503.47084Mukhamedov, F.; Embong, A. F. 1 2019 A formulation of Rényi entropy on \(C^\ast\)-algebras. Zbl 1508.94046Mukhamedov, Farrukh; Ohmura, Kyouhei; Watanabe, Noboru 1 2019 Chaotic behavior of the \(p\)-adic Potts-Bethe mapping. Zbl 1372.37022Mukhamedov, Farrukh; Khakimov, Otabek 10 2018 On surjective second order non-linear Markov operators and associated nonlinear integral equations. Zbl 1503.47085Mukhamedov, Farrukh; Khakimov, Otabek; Embong, Ahmad Fadillah 7 2018 On non-linear Markov operators: surjectivity vs orthogonal preserving property. Zbl 1500.47085Mukhamedov, Farrukh; Embong, Ahmad Fadillah 6 2018 Uniform ergodicities and perturbation bounds of Markov chains on base norm spaces. Zbl 1503.47013Erkurşun-Özcan, Nazife; Mukhamedov, Farrukh 6 2018 Genetic Volterra algebras and their derivations. Zbl 1417.17036Ganikhodzhaev, Rasul; Mukhamedov, Farrukh; Pirnapasov, Abror; Qaralleh, Izzat 6 2018 Uniform ergodicity of Lotz-Räbiger nets of Markov operators on abstract state spaces. Zbl 1503.47012Erkurşun Özcan, Nazife; Mukhamedov, Farrukh 5 2018 On stable \(b\)-bistochastic quadratic stochastic operators and associated non-homogenous Markov chains. Zbl 1388.60125Mukhamedov, Farrukh; Embong, Ahmad Fadillah 4 2018 On \(S\)-mixing entropy of quantum channels. Zbl 1448.81184Mukhamedov, Farrukh; Watanabe, Noboru 2 2018 Ground states and phase transition of the \(\lambda\) model on the Cayley tree. Zbl 1401.82013Mukhamedov, F.; Pah, Chin Hee; Jamil, H. 1 2018 Dynamics of linear operators on non-Archimedean vector spaces. Zbl 1462.47007Mukhamedov, Farrukh; Khakimov, Otabek 1 2018 Stability and monotonicity of Lotka-Volterra type operators. Zbl 1383.92072Mukhamedov, Farrukh; Saburov, Mansoor 11 2017 Orthogonal-preserving and surjective cubic stochastic operators. Zbl 1489.47085Mukhamedov, Farrukh; Embong, Ahmad Fadillah; Rosli, Azizi 11 2017 Uniqueness of quantum Markov chain associated with XY-Ising model on Cayley tree of order two. Zbl 1376.82019Mukhamedov, Farrukh; El Gheteb, Soueidy 7 2017 On Julia set and chaos in \(p\)-adic Ising model on the Cayley tree. Zbl 1413.46067Mukhamedov, Farrukh; Khakimov, Otabek 6 2017 On chaotic behaviour of the \(p\)-adic generalized Ising mapping and its application. Zbl 1388.37085Mukhamedov, Farrukh; Akın, Hasan; Dogan, Mutlay 3 2017 On circle preserving quadratic operators. Zbl 1370.46044Mukhamedov, Farrukh 2 2017 Gibbs measures and free energies of Ising – vannimenus model on the Cayley tree. Zbl 1457.82084Mukhamedov, Farrukh; Akin, Hasan; Khakimov, Otabek 1 2017 Conditional expectations and martingales in noncommutative \({L_p}\)-spaces associated with center-valued traces. Zbl 1399.46095Ganiev, Inomjon; Mukhamedov, Farrukh 1 2017 Phase transitions for quantum Markov chains associated with Ising type models on a Cayley tree. Zbl 1348.82034Mukhamedov, Farrukh; Barhoumi, Abdessatar; Souissi, Abdessatar 13 2016 Phase transition and chaos: \(p\)-adic Potts model on a Cayley tree. Zbl 1355.37106Mukhamedov, Farrukh; Khakimov, Otabek 12 2016 Uniform stability and weak ergodicity of nonhomogeneous Markov chains defined on ordered Banach spaces with a base. Zbl 1338.60185Mukhamedov, Farrukh 11 2016 On an algebraic property of the disordered phase of the Ising model with competing interactions on a Cayley tree. Zbl 1413.46060Mukhamedov, Farrukh; Barhoumi, Abdessatar; Souissi, Abdessatar 10 2016 On periodic Gibbs measures of \(p\)-adic Potts model on a Cayley tree. Zbl 1356.82022Mukhamedov, F.; Khakimov, O. 9 2016 On Volterra and orthogonality preserving quadratic stochastic operators. Zbl 1389.37030Mukhamedov, Farrukh; Taha, Muhammad Hafizuddin Bin Mohd 8 2016 Translation-invariant \(p\)-adic quasi-Gibbs measures for the Ising-Vannimenus model on a Cayley tree. Zbl 1342.82041Mukhamedov, F. M.; Saburov, M. Kh.; Khakimov, O. Kh. 7 2016 On metric properties of unconventional limit sets of contractive non-Archimedean dynamical systems. Zbl 1392.37112Mukhamedov, Farrukh; Khakimov, Otabek 6 2016 Construction of a new class of quantum Markov fields. Zbl 1362.60065Accardi, Luigi; Mukhamedov, Farrukh; Souissi, Abdessatar 5 2016 Spectral decomposition of selfadjoint cyclically compact operators and partial integral equations. Zbl 1399.47074Kudaybergenov, K.; Mukhamedov, F. 1 2016 On a generalized self-similarity in the \(p\)-adic field. Zbl 1357.28012Mukhamedov, Farrukh; Khakimov, Otabek 1 2016 Quantum quadratic operators and processes. Zbl 1335.60002Mukhamedov, Farrukh; Ganikhodjaev, Nasir 35 2015 Ergodic properties of nonhomogeneous Markov chains defined on ordered Banach spaces with a base. Zbl 1363.47016Mukhamedov, F. 11 2015 On non-Archimedean recurrence equations and their applications. Zbl 1303.39011Mukhamedov, Farrukh; Akın, Hasan 9 2015 Renormalization method in \(p\)-adic \(\lambda\)-model on the Cayley tree. Zbl 1334.82046Mukhamedov, Farrukh 8 2015 On \(b\)-bistochastic quadratic stochastic operators. Zbl 1398.60082Mukhamedov, Farrukh; Embong, Ahmad Fadillah 7 2015 On \(P\)-adic \(\lambda\)-model on the Cayley tree. II: Phase transitions. Zbl 1321.82020Mukhamedov, Farrukh; Dogan, Mutlay 7 2015 On \(p\)-adic Ising-Vannimenus model on an arbitrary order Cayley tree. Zbl 1456.82708Mukhamedov, Farrukh; Saburov, Mansoor; Khakimov, Otabek 5 2015 On a multi-parametric generalization of the uniform zero-two law in \(L^1\)-spaces. Zbl 1331.47059Mukhamedov, Farrukh 2 2015 On the existence of phase transition for the 1D \(p\)-adic countable state Potts model. Zbl 1331.82016Mukhamedov, F. M. 1 2015 On marginal processes of quadratic stochastic processes. Zbl 1318.60101Mukhamedov, Farrukh; Supar, Nurul Akma 1 2015 On pure quasi-quantum quadratic operators of \(\mathbb{M}_2(\mathbb{C})\). II. Zbl 1331.81070Mukhamedov, Farrukh 1 2015 On quantum Markov chains on Cayley tree. III: Ising model. Zbl 1316.46046Accardi, Luigi; Mukhamedov, Farrukh; Saburov, Mansoor 11 2014 On dynamics of Lotka-Volterra type operators. Zbl 1303.47079Mukhamedov, Farrukh; Saburov, Mansoor 11 2014 On cubic equations over \(p\)-adic fields. Zbl 1307.11124Mukhamedov, Farrukh; Omirov, Bakhrom; Saburov, Mansoor 11 2014 Recurrence equations over trees in a non-Archimedean context. Zbl 1420.47027Mukhamedov, F. 7 2014 On \(L_1\)-weak ergodicity of nonhomogeneous continuous-time Markov processes. Zbl 1336.60152Mukhamedov, F. 4 2014 On the strong phase transition for the one-dimensional countable state \(p\)-adic Potts model. Zbl 1456.82159Mukhamedov, Farrukh 2 2014 Relative ergodic properties of \(C^\ast\)-dynamical systems. Zbl 1297.46046Duvenhage, Rocco; Mukhamedov, Farrukh 2 2014 Description of three dimensional solvable evaluation algebras. Zbl 1379.17003Mukhamedov, Farrukh; Omirov, Bakhrom; Qaralleh, Izzat 1 2014 Measurable bundles of \(C^*\)-dynamical systems and its applications. Zbl 1322.47021Ganiev, Inomjon; Mukhamedov, Farrukh 1 2014 On dynamical systems and phase transitions for \(q + 1\)-state \(p\)-adic Potts model on the Cayley tree. Zbl 1280.46047Mukhamedov, Farrukh 27 2013 The Dobrushin ergodicity coefficient and the ergodicity of noncommutative Markov chains. Zbl 1312.46054Mukhamedov, Farrukh 16 2013 On \(L_1\)-weak ergodicity of nonhomogeneous discrete Markov processes and its applications. Zbl 1334.60145Mukhamedov, Farrukh 15 2013 The \(p\)-adic Potts model on the Cayley tree of order three. Zbl 1286.82004Mukhamedov, F.; Akin, H. 14 2013 On equation \(x^q=a\) over \(\mathbb Q_p\). Zbl 1293.11062Mukhamedov, Farrukh; Saburov, Mansoor 11 2013 Weak ergodicity of nonhomogeneous Markov chains on noncommutative \(L^1\)-spaces. Zbl 1276.47012Mukhamedov, Farrukh 10 2013 On \(\xi^{(s)}\)-quadratic stochastic operators on two-dimensional simplex and their behavior. Zbl 1470.47031Mukhamedov, Farrukh; Saburov, Mansoor; Qaralleh, Izzat 9 2013 Solvability of cubic equations in \(p\)-adic integers \((p>3)\). Zbl 1294.11205Mukhamedov, F. M.; Omirov, B. A.; Saburov, M. Kh.; Masutova, K. K. 8 2013 Phase transitions for \(p\)-adic Potts model on the Cayley tree of order three. Zbl 1456.82825Mukhamedov, Farrukh; Akın, Hasan 7 2013 On pure quasi-quantum quadratic operators of \(\mathbb M_2(\mathbb C)\). Zbl 1280.81012Mukhamedov, Farrukh; Abduganiev, Abduaziz 4 2013 On Kadison-Schwarz type quantum quadratic operators on \(\mathbb M_2(\mathbb C)\). Zbl 1276.81056Mukhamedov, Farrukh; Abduganiev, Abduaziz 2 2013 Weighted ergodic theorems for Banach-Kantorovich lattice \(L_p(\hat\nabla,\hat\mu)\). Zbl 1316.37002Ganiev, Inomjon; Mukhamedov, Farrukh 1 2013 ...and 77 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 246 Authors 117 Mukhamedov, Farruh Maksutovich 48 Rozikov, Utkir A. 28 Jamilov, Uygun U. 23 Khakimov, Otabek N. 21 Saburov, Mansoor 18 Ladra González, Manuel 16 Souissi, Abdessatar 12 Fidaleo, Francesco 9 Akin, Hasan 9 Ganikhodjaev, Nasir Nabievich 9 Rahmatullaev, Muzaffar 8 Accardi, Luigi 8 Embong, Ahmad Fadillah 8 Qaralleh, Izzat 7 Omirov, Bakhrom A. 6 Ganikhodzhaev, Rasul N. 6 Liao, Lingmin 6 Pah, Chin Hee 5 Barhoumi, Abdessatar 5 Khrennikov, Andreĭ Yur’evich 5 Pułka, Małgorzata 5 Saburov, Mansur Kh. 5 Sattarov, Iskandar A. 4 Duvenhage, Rocco 4 Erkurşun Özcan, Nazife 4 Fan, Shilei 4 Litvinov, Semyon N. 4 Temir, Seyit 4 Zúñiga-Galindo, Wilson A. 3 Abduganiev, Abduaziz 3 Ahmad, Mohd Ali Khameini 3 Al-Rawashdeh, Ahmad Saleh 3 Al-Shutnawi, Basma M. 3 Bartoszek, Krzysztof 3 Bartoszek, Wojciech 3 Botirov, Golibjon I. 3 Cadavid, Paula 3 Crismale, Vitonofrio 3 Del Vecchio, Simone 3 Dhahri, Ameur 3 Dragovich, Branko 3 El Gheteb, Soueidy 3 Fagnola, Franco 3 Ganiev, Inomjon 3 Khakimov, Rustam M. 3 Khamraev, Murod 3 Khudoyberdiev, Khayotjon O. 3 Lindahl, Karl-Olof 3 Pirnapasov, Abror T. 3 Rosli, Azizi 3 Rossi, Stefano 3 Shahidi, Farruh 2 Absalamov, Akmal T. 2 Ahmad, Muhammad Zaini 2 Alsarayreh, Abdelwahab 2 Balooee, Javad 2 Carbone, Raffaella 2 Casas Miras, José Manuel 2 Chang, Shih-Sen 2 Çömez, Doḡan 2 Doğan, Mutlay 2 Fan, Ai Hua 2 Garcia, Claudia I. 2 Gunduz, Birol 2 Gutiérrez Fernández, Juan Carlos 2 Hamdi, Tarek 2 Hamzah, Nur Zatul Akmar 2 Haydarov, Farhod Halimjonovich 2 Jamil, Hakim 2 Jenčová, Anna 2 Juraev, Ilhomjon T. 2 Ko, Chul Ki 2 Kozyrev, Sergeĭ Vladimirovich 2 Kurganov, K. A. 2 Mendes, José F. F. 2 Mukhitdinov, R. T. 2 Rasulova, M. A. 2 Reinfelds, Andrejs 2 Rodiño Montoya, Mary Luz 2 Rodríguez, Pablo M. 2 Saburov, Khikmat Khazhibaevich 2 Scheutzow, Michael K. R. 2 Shi, Zhiyan 2 Shoyimardonov, Sobirjon K. 2 Soueidy, El Gheteb 2 Torba, Sergii M. 2 Tugyonov, Zohid T. 2 Tukhtabaev, Akbarkhuja 2 Viselter, Ami 2 Volovich, Igor’ Vasil’evich 2 Wang, Yuefei 2 Watanabe, Noboru 2 Yang, Weiguo 2 Yoo, Hyun Jae 1 Abdalrhman Mohammed, Sarra 1 Abdulghafor, Rawad 1 Abdurakhimova, Sh. B. 1 Akbulut, Sezgin 1 Al-Kaseasbeh, Saba 1 Anashin, Vladimir Sergeevich ...and 146 more Authors all top 5 Cited in 115 Serials 19 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 17 Theoretical and Mathematical Physics 12 Journal of Statistical Physics 12 Infinite Dimensional Analysis, Quantum Probability and Related Topics 11 Journal of Mathematical Analysis and Applications 11 Mathematical Notes 11 Linear Algebra and its Applications 10 Lobachevskii Journal of Mathematics 9 Positivity 8 Linear and Multilinear Algebra 8 Qualitative Theory of Dynamical Systems 7 Journal of Mathematical Physics 7 Mathematical Physics, Analysis and Geometry 6 Results in Mathematics 6 Journal of Difference Equations and Applications 6 Bulletin of the Malaysian Mathematical Sciences Society. 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