## Mukhamedov, Farruh Maksutovich

Compute Distance To:
 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: 212 Publications since 1997, including 1 Book Reviewing Activity: 261 Reviews Co-Authors: 60 Co-Authors with 166 Joint Publications 712 Co-Co-Authors
all top 5

### Co-Authors

 45 single-authored 23 Saburov, Mansoor 18 Khakimov, Otabek N. 15 Rozikov, Utkir A. 14 Akin, Hasan 14 Ganikhodjaev, Nasir Nabievich 13 Embong, Ahmad Fadillah 10 Accardi, Luigi 10 Souissi, Abdessatar 8 Temir, Seyit 7 Ganiev, Inomjon 6 Abduganiev, Abduaziz 6 Qaralleh, Izzat 5 Ganikhodzhaev, Rasul N. 5 Mendes, José F. F. 4 El Gheteb, Soueidy 4 Erkurşun Özcan, Nazife 4 Fidaleo, Francesco 4 Kudaĭbergenov, Karimbergen Kadirbergenovich 4 Omirov, Bakhrom A. 4 Pah, Chin Hee 3 Al-Rawashdeh, Ahmad Saleh 3 Barhoumi, Abdessatar 3 Doğan, Mutlay 3 Karimov, Abdusalom 3 Khamraev, Murod 3 Saburov, Mansur Kh. 2 Bekbaev, Dilmurod 2 Dhahri, Ameur 2 Karimov, A. K. 2 Khrennikov, Andreĭ Yur’evich 2 Mukhamedov, M. A. 2 Pirnapasov, Abror T. 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 Hamdi, Tarek 1 Jamilov, Uygun U. 1 Khakimov, O. Kh. 1 Litvinov, Semyon N. 1 Masutova, K. K. 1 Mukhamedov, Maksut 1 Muminov, Kh. Kh. 1 Ohno, Hiromichi 1 Ostilli, Massimo 1 Rafeiro, Humberto 1 Rahmatullaev, Muzaffar 1 Rakhimov, Isamiddin Sattarovich 1 Rasulova, M. A. 1 Supar, Nurul Akma 1 Syam, Sondos M. 1 Taha, Muhammad Hafizuddin Bin Mohd 1 Watanabe, Noboru 1 Zakirov, B. S.
all top 5

### Serials

 8 Journal of Mathematical Analysis and Applications 8 Theoretical and Mathematical Physics 8 Infinite Dimensional Analysis, Quantum Probability and Related Topics 7 Mathematical Notes 7 Journal of Statistical Mechanics: Theory and Experiment 6 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 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 Chaos, Solitons and Fractals 2 Functional Analysis and its Applications 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 Physica A 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 Results in Mathematics 1 Siberian Mathematical Journal 1 Studia Scientiarum Mathematicarum Hungarica 1 Southeast Asian Bulletin of Mathematics 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 Quantum Information Processing 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
all top 5

### Fields

 91 Functional analysis (46-XX) 91 Operator theory (47-XX) 63 Statistical mechanics, structure of matter (82-XX) 59 Probability theory and stochastic processes (60-XX) 38 Quantum theory (81-XX) 37 Dynamical systems and ergodic theory (37-XX) 21 Measure and integration (28-XX) 13 Number theory (11-XX) 12 Combinatorics (05-XX) 11 Difference and functional equations (39-XX) 10 Biology and other natural sciences (92-XX) 9 Nonassociative rings and algebras (17-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Field theory and polynomials (12-XX) 5 Integral equations (45-XX) 4 Information and communication theory, circuits (94-XX) 3 General topology (54-XX) 2 Group theory and generalizations (20-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-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) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

154 Publications have been cited 1,025 times in 292 Documents Cited by Year
Quadratic stochastic operators and processes: results and open problems. Zbl 1242.60067
Ganikhodzhaev, Rasul; Mukhamedov, Farrukh; Rozikov, Utkir
2011
On Gibbs measures of $$p$$-adic Potts model on the Cayley tree. Zbl 1161.82311
Mukhamedov, Farruh M.; Rozikov, Utkir A.
2004
Quantum quadratic operators and processes. Zbl 1335.60002
Mukhamedov, Farrukh; Ganikhodjaev, Nasir
2015
On inhomogeneous $$p$$-adic Potts model on a Cayley tree. Zbl 1096.82007
Mukhamedov, Farrukh; Rozikov, Utkir
2005
On $$p$$-adic Gibbs measures of the countable state Potts model on the Cayley tree. Zbl 1139.46050
Khrennikov, A. Yu; Mukhamedov, F. M.; Mendes, J. F. F.
2007
On Gibbs measures of models with competing ternary and binary interactions and corresponding von Neumann algebras. Zbl 1061.82007
Mukhamedov, Farruh; Rozikov, Utkir
2004
On dynamical systems and phase transitions for $$q + 1$$-state $$p$$-adic Potts model on the Cayley tree. Zbl 1280.46047
Mukhamedov, Farrukh
2013
On a class of rational $$p$$-adic dynamical systems. Zbl 1085.37040
Khamraev, Murod; Mukhamedov, Farrukh
2006
Markov states and chains on the CAR algebra. Zbl 1125.46050
Accardi, Luigi; Fidaleo, Francesco; Mukhamedov, Farruh
2007
A dynamical system approach to phase transitions for $$p$$-adic Potts model on the Cayley tree of order two. Zbl 1271.82018
Mukhamedov, Farrukh
2012
On rational $$p$$-adic dynamical systems. Zbl 1053.37022
Mukhamedov, Farruh; Rozikov, Utkir
2004
On $$p$$-adic $$\lambda$$-model on the Cayley tree. Zbl 1064.82006
Khamraev, Murod; Mukhamedov, Farruh
2004
On Gibbs measures of models with competing ternary and binary interactions and corresponding von Neumann algebras. II. Zbl 1071.82017
Mukhamedov, Farruh; Rozikov, Utkir
2005
On $$p$$-adic quasi Gibbs measures for $$q+1$$-state Potts model on the Cayley tree. Zbl 1268.82007
Mukhamedov, Farrukh
2010
Quantum Markov fields on graphs. Zbl 1211.46072
Accardi, Luigi; Ohno, Hiromichi; Mukhamedov, Farrukh
2010
On a factor associated with the unordered phase of $$\lambda$$-model on a Cayley tree. Zbl 1135.82305
Mukhamedov, Farruh
2004
On the existence of generalized Gibbs measures for the one-dimensional $$p$$-adic countable state Potts model. Zbl 1187.82027
Mukhamedov, Farrukh
2009
On $$L_1$$-weak ergodicity of nonhomogeneous discrete Markov processes and its applications. Zbl 1334.60145
Mukhamedov, Farrukh
2013
Existence of a phase transition for the Potts $$p$$-adic model on the set $$\mathbb{Z}$$. Zbl 1031.82013
Ganikhodzhaev, N. N.; Mukhamedov, F. M.; Rozikov, U. A.
2002
The Dobrushin ergodicity coefficient and the ergodicity of noncommutative Markov chains. Zbl 1312.46054
Mukhamedov, Farrukh
2013
On infinite dimensional quadratic Volterra operators. Zbl 1121.47065
Mukhamedov, Farruh; Akin, Hasan; Temir, Seyit
2005
Strict weak mixing of some $$C^{*}$$-dynamical systems based on free shifts. Zbl 1126.46044
Fidaleo, Francesco; Mukhamedov, Farrukh
2007
On quantum Markov chains on Cayley tree I: Uniqueness of the associated chain with $$XY$$-model on the Cayley tree of order two. Zbl 1239.46044
Accardi, Luigi; Mukhamedov, Farrukh; Saburov, Mansoor
2011
On the decomposition of quantum quadratic stochastic processes into layer-Markov processes defined on von Neumann algebras. Zbl 1074.46046
Mukhamedov, F. M.
2004
The $$p$$-adic Potts model on the Cayley tree of order three. Zbl 1286.82004
Mukhamedov, F.; Akin, H.
2013
On the uniqueness of Gibbs measures for $$p$$-adic nonhomogeneous $${\lambda}$$-model on the Cayley tree. Zbl 1065.46057
Khamraev, Murod; Mukhamedov, Farruh; Rozikov, Utkir
2004
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 1237.82009
Accardi, Luigi; Mukhamedov, Farrukh; Saburov, Mansoor
2011
On the ergodic principle for Markov and quadratic stochastic processes and its relations. Zbl 1096.60038
Ganikhodjaev, Nasir; Akin, Hasan; Mukhamedov, Farrukh
2006
Ergodic properties of nonhomogeneous Markov chains defined on ordered Banach spaces with a base. Zbl 1363.47016
Mukhamedov, F.
2015
Ergodic properties of discrete quadratic stochastic processes defined on von Neumann algebras. Zbl 0977.60040
Ganikhodzhaev, N. N.; Mukhamedov, F. M.
2000
Phase transitions for quantum Markov chains associated with Ising type models on a Cayley tree. Zbl 1348.82034
Mukhamedov, Farrukh; Barhoumi, Abdessatar; Souissi, Abdessatar
2016
On quantum Markov chains on Cayley tree. III: Ising model. Zbl 1316.46046
Accardi, Luigi; Mukhamedov, Farrukh; Saburov, Mansoor
2014
Uniform stability and weak ergodicity of nonhomogeneous Markov chains defined on ordered Banach spaces with a base. Zbl 1338.60185
Mukhamedov, Farrukh
2016
Phase transition and chaos: $$p$$-adic Potts model on a Cayley tree. Zbl 1355.37106
Mukhamedov, Farrukh; Khakimov, Otabek
2016
Weak ergodicity of nonhomogeneous Markov chains on noncommutative $$L^1$$-spaces. Zbl 1276.47012
Mukhamedov, Farrukh
2013
Diagonalizability of non-homogeneous quantum Markov states and associated von Neumann algebras. Zbl 1088.46038
Fidaleo, Francesco; Mukhamedov, Farruh
2004
On an algebraic property of the disordered phase of the Ising model with competing interactions on a Cayley tree. Zbl 1413.46060
Mukhamedov, Farrukh; Barhoumi, Abdessatar; Souissi, Abdessatar
2016
Orthogonal-preserving and surjective cubic stochastic operators. Zbl 06841330
2017
On cubic equations over $$p$$-adic fields. Zbl 1307.11124
Mukhamedov, Farrukh; Omirov, Bakhrom; Saburov, Mansoor
2014
On equation $$x^q=a$$ over $$\mathbb Q_p$$. Zbl 1293.11062
Mukhamedov, Farrukh; Saburov, Mansoor
2013
On Volterra and orthogonality preserving quadratic stochastic operators. Zbl 1389.37030
Mukhamedov, Farrukh; Taha, Muhammad Hafizuddin Bin Mohd
2016
Infinite-dimensional quadratic Volterra operators. Zbl 1010.60061
Mukhamedov, F. M.
2000
Uniqueness of quantum Markov chain associated with XY-Ising model on Cayley tree of order two. Zbl 1376.82019
Mukhamedov, Farrukh; El Gheteb, Soueidy
2017
On non-Archimedean recurrence equations and their applications. Zbl 1303.39011
Mukhamedov, Farrukh; Akın, Hasan
2015
Solvability of cubic equations in $$p$$-adic integers $$(p>3)$$. Zbl 1294.11205
Mukhamedov, F. M.; Omirov, B. A.; Saburov, M. Kh.; Masutova, K. K.
2013
On dynamics of Lotka-Volterra type operators. Zbl 1303.47079
Mukhamedov, Farrukh; Saburov, Mansoor
2014
On phase transitions for $$p$$-adic Potts model with competing interactions on a Cayley tree. Zbl 1152.82309
Mukhamedov, F. M.; Rozikov, U. A.; Mendes, J. F. F.
2006
On homotopy of Volterrian quadratic stochastic operators. Zbl 1217.47102
Mukhamedov, Farrukh; Saburov, Mansoor
2010
On surjective second order non-linear Markov operators and associated nonlinear integral equations. Zbl 06979807
2018
On uniqueness of Gibbs measure for $$p$$-adic countable state Potts model on the Cayley tree. Zbl 1185.46051
Khrennikov, Andrei; Mukhamedov, Farrukh
2009
Chaotic behavior of the $$p$$-adic Potts-Bethe mapping. Zbl 1372.37022
Mukhamedov, Farrukh; Khakimov, Otabek
2018
On periodic Gibbs measures of $$p$$-adic Potts model on a Cayley tree. Zbl 1356.82022
Mukhamedov, F.; Khakimov, O.
2016
On individual subsequential ergodic theorem in von Neumann algebras. Zbl 0973.46052
Litvinov, Semyon; Mukhamedov, Farrukh
2001
On a recursive equation over a $$p$$-adic field. Zbl 1154.39001
Mukhamedov, Farrukh
2007
On quantum quadratic operators of $$\mathbb M_2(\mathbb C)$$ and their dynamics. Zbl 1210.47081
Mukhamedov, Farrukh; Akın, Hasan; Temir, Seyit; Abduganiev, Abduaziz
2011
A few remarks on mixing properties of $$C^*$$-dynamical systems. Zbl 1155.46031
Mukhamedov, Farrukh; Temir, Seyit
2007
On non-ergodic Volterra cubic stochastic operators. Zbl 1443.37005
Mukhamedov, Farrukh; Pah, Chin Hee; Rosli, Azizi
2019
Recurrence equations over trees in a non-Archimedean context. Zbl 1420.47027
Mukhamedov, F.
2014
Clustering property of quantum Markov chain associated to XY-model with competing Ising interactions on the Cayley tree of order two. Zbl 1421.46044
Mukhamedov, Farrukh; El Gheteb, Soueidy
2019
Quantum Markov states on Cayley trees. Zbl 1418.46029
Mukhamedov, Farrukh; Souissi, Abdessatar
2019
On $$P$$-adic $$\lambda$$-model on the Cayley tree. II: Phase transitions. Zbl 1321.82020
Mukhamedov, Farrukh; Dogan, Mutlay
2015
On nonergodic uniform Lotka-Volterra operators. Zbl 07083189
Mukhamedov, F. M.; Jamilov, U. U.; Pirnapasov, A. T.
2019
On non-linear Markov operators: surjectivity vs orthogonal preserving property. Zbl 06949020
2018
Uniform ergodicities and perturbation bounds of Markov chains on base norm spaces. Zbl 06959331
Erkurşun-Özcan, Nazife; Mukhamedov, Farrukh
2018
Strong convergence of an explicit iteration process for a totally asymptotically $$I$$-nonexpansive mapping in Banach spaces. Zbl 1201.47064
Mukhamedov, Farrukh; Saburov, Mansoor
2010
Ergodic properties of Bogoliubov automorphisms in free probability. Zbl 1202.37007
Fidaleo, Francesco; Mukhamedov, Farrukh
2010
Stability and monotonicity of Lotka-Volterra type operators. Zbl 1383.92072
Mukhamedov, Farrukh; Saburov, Mansoor
2017
Renormalization method in $$p$$-adic $$\lambda$$-model on the Cayley tree. Zbl 1334.82046
Mukhamedov, Farrukh
2015
Uniform ergodicity of Lotz-Räbiger nets of Markov operators on abstract state spaces. Zbl 06859348
Erkurşun Özcan, Nazife; Mukhamedov, Farrukh
2018
Translation-invariant $$p$$-adic quasi-Gibbs measures for the Ising-Vannimenus model on a Cayley tree. Zbl 1342.82041
Mukhamedov, F. M.; Saburov, M. Kh.; Khakimov, O. Kh.
2016
On $$b$$-bistochastic quadratic stochastic operators. Zbl 1398.60082
2015
Genetic Volterra algebras and their derivations. Zbl 1417.17036
Ganikhodzhaev, Rasul; Mukhamedov, Farrukh; Pirnapasov, Abror; Qaralleh, Izzat
2018
Generalized Dobrushin ergodicity coefficient and uniform ergodicities of Markov operators. Zbl 07239379
Mukhamedov, Farrukh; Al-Rawashdeh, Ahmed
2020
On the chaotic behavior of a generalized logistic $$p$$-adic dynamical system. Zbl 1128.37031
Mukhamedov, Farrukh; Mendes, José F. F.
2007
On the quantum quadratic stochastic processes and ergodic theorems for these processes. Zbl 0930.60023
Ganikhodzhaev, N. N.; Mukhamedov, F. M.
1997
On $$L_1$$-weak ergodicity of nonhomogeneous continuous-time Markov processes. Zbl 1336.60152
Mukhamedov, F.
2014
On contour arguments for the three state Potts model with competing interactions on a semi-infinite Cayley tree. Zbl 1121.82014
Mukhamedov, Farrukh; Rozikov, Utkir; Mendes, José F. F.
2007
Phase diagram of the three states Potts model with next nearest neighbour interactions on the Bethe lattice. Zbl 1227.82044
Ganikhodjaev, Nasir; Mukhamedov, Farrukh; Pah, Chin Hee
2008
On multiparameter weighted ergodic theorem for noncommutative $$L_p$$-spaces. Zbl 1147.46039
Mukhamedov, Farrukh; Mukhamedov, Maksut; Temir, Seyit
2008
Weak and strong convergence of an implicit iteration process for an asymptotically quasi-I-nonexpansive mapping in Banach space. Zbl 1202.47080
Mukhamedov, Farrukh; Saburov, Mansoor
2010
On stability properties of positive contractions of $$L^1$$-spaces associated with finite von Neumann algebras. Zbl 1121.47004
Mukhamedov, Farrukh; Akin, Hasan; Temir, Seyit
2006
Open quantum random walks, quantum Markov chains and recurrence. Zbl 1431.81082
Dhahri, Ameur; Mukhamedov, Farrukh
2019
A note on noncommutative unique ergodicity and weighted means. Zbl 1155.47014
Accardi, Luigi; Mukhamedov, Farrukh
2009
Uniqueness of quantum Markov chains associated with an $$XY$$-model on a Cayley tree of order 2. Zbl 1245.82018
Accardi, L.; Mukhamedov, F. M.; Saburov, M. Kh.
2011
On $$\xi^{(s)}$$-quadratic stochastic operators on two-dimensional simplex and their behavior. Zbl 1470.47031
Mukhamedov, Farrukh; Saburov, Mansoor; Qaralleh, Izzat
2013
Derivations and automorphisms of nilpotent evolution algebras with maximal nilindex. Zbl 1456.17019
Mukhamedov, Farrukh; Khakimov, Otabek; Omirov, Bakhrom; Qaralleh, Izzat
2019
On pure quasi-quantum quadratic operators of $$\mathbb M_2(\mathbb C)$$. Zbl 1280.81012
Mukhamedov, Farrukh; Abduganiev, Abduaziz
2013
On omega limiting sets of infinite dimensional Volterra operators. Zbl 1457.37018
2020
Construction of a new class of quantum Markov fields. Zbl 1362.60065
Accardi, Luigi; Mukhamedov, Farrukh; Souissi, Abdessatar
2016
On the chaotic behavior of cubic $$p$$-adic dynamical systems. Zbl 1157.37015
Mukhamedov, F.
2008
On Julia set and chaos in $$p$$-adic Ising model on the Cayley tree. Zbl 1413.46067
Mukhamedov, Farrukh; Khakimov, Otabek
2017
On metric properties of unconventional limit sets of contractive non-Archimedean dynamical systems. Zbl 1392.37112
Mukhamedov, Farrukh; Khakimov, Otabek
2016
On stable $$b$$-bistochastic quadratic stochastic operators and associated non-homogenous Markov chains. Zbl 1388.60125
2018
Von Neumann algebras generated by translation-invariant Gibbs states of the Ising model on a Bethe lattice. Zbl 1066.82505
Mukhamedov, F. M.
2000
Ergodic properties of quadratic discrete dynamical systems on $$C^*$$-algebras. Zbl 0972.37007
Mukhamedov, F. M.
2001
On tensor products of weak mixing vector sequences and their applications to uniquely $$E$$-weak mixing $$C^{*}$$-dynamical systems. Zbl 1243.46055
Mukhamedov, Farrukh
2012
On the description of bistochastic Kadison-Schwarz operators on $$\mathbb M_2(\mathbb C)$$. Zbl 1207.81009
Mukhamedov, Farrukh; Abduganiev, Abduaziz
2010
A polynomial $$p$$-adic dynamical system. Zbl 1294.37033
Mukhamedov, F. M.; Rozikov, U. A.
2012
Existence of $$p$$-adic quasi Gibbs measure for countable state Potts model on the Cayley tree. Zbl 1281.46062
Mukhamedov, Farrukh
2012
A note on dominant contractions of Jordan algebras. Zbl 1185.47011
Mukhamedov, Farrukh; Temir, Seyit; Akın, Hasan
2010
Generalized Dobrushin ergodicity coefficient and ergodicities of non-homogeneous Markov chains. Zbl 07465461
Mukhamedov, Farrukh; Al-Rawashdeh, Ahmed
2022
Spectral conditions for uniform $$P$$-ergodicities of Markov operators on abstract states spaces. Zbl 07384200
Erkurşun-Özcan, Nazife; Mukhamedov, Farrukh
2021
Infinite dimensional orthogonality preserving nonlinear Markov operators. Zbl 07318843
2021
Diagonalizability of quantum Markov states on trees. Zbl 1473.46073
Mukhamedov, Farrukh; Souissi, Abdessatar
2021
Generalized Dobrushin ergodicity coefficient and uniform ergodicities of Markov operators. Zbl 07239379
Mukhamedov, Farrukh; Al-Rawashdeh, Ahmed
2020
On omega limiting sets of infinite dimensional Volterra operators. Zbl 1457.37018
2020
Factors generated by XY-model with competing Ising interactions on the Cayley tree. Zbl 1453.46057
Mukhamedov, Farrukh; El Gheteb, Soueidy
2020
Ergodicities of infinite dimensional nonlinear stochastic operators. Zbl 07259346
2020
Few remarks on quasi quantum quadratic operators on $$\mathbb{M}_2(\mathbb{C})$$. Zbl 1453.81028
Mukhamedov, Farrukh; Syam, Sondos M.; Almazrouei, Shamma A. Y.
2020
A quantum Markov chain approach to phase transitions for quantum Ising model with competing XY-interactions on a Cayley tree. Zbl 1454.82012
Mukhamedov, Farrukh; Barhoumi, Abdessatar; Souissi, Abdessatar; El Gheteb, Soueidy
2020
On Kadison-Schwarz approximation to positive maps. Zbl 1480.81015
Chruściński, Dariusz; Mukhamedov, Farrukh; Hajji, Mohamed Ali
2020
$$p$$-adic monomial equations and their perturbations. Zbl 1457.11162
Mukhamedov, Farrukh M.; Khakimov, Otabek N.
2020
Types of factors generated by quantum Markov states of Ising model with competing interactions on the Cayley tree. Zbl 1461.46063
Mukhamedov, Farrukh; Souissi, Abdessatar
2020
Weighted strong laws of large numbers on variable exponent vector-valued Lebesgue spaces. Zbl 07367169
Mukhamedov, Farrukh; Rafeiro, Humberto
2020
Solvability of nonlinear integral equations and surjectivity of nonlinear Markov operators. Zbl 1452.45004
2020
On non-ergodic Volterra cubic stochastic operators. Zbl 1443.37005
Mukhamedov, Farrukh; Pah, Chin Hee; Rosli, Azizi
2019
Clustering property of quantum Markov chain associated to XY-model with competing Ising interactions on the Cayley tree of order two. Zbl 1421.46044
Mukhamedov, Farrukh; El Gheteb, Soueidy
2019
Quantum Markov states on Cayley trees. Zbl 1418.46029
Mukhamedov, Farrukh; Souissi, Abdessatar
2019
On nonergodic uniform Lotka-Volterra operators. Zbl 07083189
Mukhamedov, F. M.; Jamilov, U. U.; Pirnapasov, A. T.
2019
Open quantum random walks, quantum Markov chains and recurrence. Zbl 1431.81082
Dhahri, Ameur; Mukhamedov, Farrukh
2019
Derivations and automorphisms of nilpotent evolution algebras with maximal nilindex. Zbl 1456.17019
Mukhamedov, Farrukh; Khakimov, Otabek; Omirov, Bakhrom; Qaralleh, Izzat
2019
Open quantum random walks and quantum Markov chains. Zbl 1447.46050
Dhahri, A.; Mukhamedov, F.
2019
Elliptic quadratic operator equations. Zbl 1477.15008
Ganikhodzhaev, Rasul; Mukhamedov, Farrukh; Saburov, Mansoor
2019
On surjective second order non-linear Markov operators and associated nonlinear integral equations. Zbl 06979807
2018
Chaotic behavior of the $$p$$-adic Potts-Bethe mapping. Zbl 1372.37022
Mukhamedov, Farrukh; Khakimov, Otabek
2018
On non-linear Markov operators: surjectivity vs orthogonal preserving property. Zbl 06949020
2018
Uniform ergodicities and perturbation bounds of Markov chains on base norm spaces. Zbl 06959331
Erkurşun-Özcan, Nazife; Mukhamedov, Farrukh
2018
Uniform ergodicity of Lotz-Räbiger nets of Markov operators on abstract state spaces. Zbl 06859348
Erkurşun Özcan, Nazife; Mukhamedov, Farrukh
2018
Genetic Volterra algebras and their derivations. Zbl 1417.17036
Ganikhodzhaev, Rasul; Mukhamedov, Farrukh; Pirnapasov, Abror; Qaralleh, Izzat
2018
On stable $$b$$-bistochastic quadratic stochastic operators and associated non-homogenous Markov chains. Zbl 1388.60125
2018
Dynamics of linear operators on non-Archimedean vector spaces. Zbl 1462.47007
Mukhamedov, Farrukh; Khakimov, Otabek
2018
Orthogonal-preserving and surjective cubic stochastic operators. Zbl 06841330
2017
Uniqueness of quantum Markov chain associated with XY-Ising model on Cayley tree of order two. Zbl 1376.82019
Mukhamedov, Farrukh; El Gheteb, Soueidy
2017
Stability and monotonicity of Lotka-Volterra type operators. Zbl 1383.92072
Mukhamedov, Farrukh; Saburov, Mansoor
2017
On Julia set and chaos in $$p$$-adic Ising model on the Cayley tree. Zbl 1413.46067
Mukhamedov, Farrukh; Khakimov, Otabek
2017
On circle preserving quadratic operators. Zbl 1370.46044
Mukhamedov, Farrukh
2017
Conditional expectations and martingales in noncommutative $${L_p}$$-spaces associated with center-valued traces. Zbl 1399.46095
Ganiev, Inomjon; Mukhamedov, Farrukh
2017
Phase transitions for quantum Markov chains associated with Ising type models on a Cayley tree. Zbl 1348.82034
Mukhamedov, Farrukh; Barhoumi, Abdessatar; Souissi, Abdessatar
2016
Uniform stability and weak ergodicity of nonhomogeneous Markov chains defined on ordered Banach spaces with a base. Zbl 1338.60185
Mukhamedov, Farrukh
2016
Phase transition and chaos: $$p$$-adic Potts model on a Cayley tree. Zbl 1355.37106
Mukhamedov, Farrukh; Khakimov, Otabek
2016
On an algebraic property of the disordered phase of the Ising model with competing interactions on a Cayley tree. Zbl 1413.46060
Mukhamedov, Farrukh; Barhoumi, Abdessatar; Souissi, Abdessatar
2016
On Volterra and orthogonality preserving quadratic stochastic operators. Zbl 1389.37030
Mukhamedov, Farrukh; Taha, Muhammad Hafizuddin Bin Mohd
2016
On periodic Gibbs measures of $$p$$-adic Potts model on a Cayley tree. Zbl 1356.82022
Mukhamedov, F.; Khakimov, O.
2016
Translation-invariant $$p$$-adic quasi-Gibbs measures for the Ising-Vannimenus model on a Cayley tree. Zbl 1342.82041
Mukhamedov, F. M.; Saburov, M. Kh.; Khakimov, O. Kh.
2016
Construction of a new class of quantum Markov fields. Zbl 1362.60065
Accardi, Luigi; Mukhamedov, Farrukh; Souissi, Abdessatar
2016
On metric properties of unconventional limit sets of contractive non-Archimedean dynamical systems. Zbl 1392.37112
Mukhamedov, Farrukh; Khakimov, Otabek
2016
Spectral decomposition of selfadjoint cyclically compact operators and partial integral equations. Zbl 1399.47074
Kudaybergenov, K.; Mukhamedov, F.
2016
On a generalized self-similarity in the $$p$$-adic field. Zbl 1357.28012
Mukhamedov, Farrukh; Khakimov, Otabek
2016
Quantum quadratic operators and processes. Zbl 1335.60002
Mukhamedov, Farrukh; Ganikhodjaev, Nasir
2015
Ergodic properties of nonhomogeneous Markov chains defined on ordered Banach spaces with a base. Zbl 1363.47016
Mukhamedov, F.
2015
On non-Archimedean recurrence equations and their applications. Zbl 1303.39011
Mukhamedov, Farrukh; Akın, Hasan
2015
On $$P$$-adic $$\lambda$$-model on the Cayley tree. II: Phase transitions. Zbl 1321.82020
Mukhamedov, Farrukh; Dogan, Mutlay
2015
Renormalization method in $$p$$-adic $$\lambda$$-model on the Cayley tree. Zbl 1334.82046
Mukhamedov, Farrukh
2015
On $$b$$-bistochastic quadratic stochastic operators. Zbl 1398.60082
2015
On a multi-parametric generalization of the uniform zero-two law in $$L^1$$-spaces. Zbl 1331.47059
Mukhamedov, Farrukh
2015
On the existence of phase transition for the 1D $$p$$-adic countable state Potts model. Zbl 1331.82016
Mukhamedov, F. M.
2015
On pure quasi-quantum quadratic operators of $$\mathbb{M}_2(\mathbb{C})$$. II. Zbl 1331.81070
Mukhamedov, Farrukh
2015
On marginal processes of quadratic stochastic processes. Zbl 1318.60101
Mukhamedov, Farrukh; Supar, Nurul Akma
2015
On quantum Markov chains on Cayley tree. III: Ising model. Zbl 1316.46046
Accardi, Luigi; Mukhamedov, Farrukh; Saburov, Mansoor
2014
On cubic equations over $$p$$-adic fields. Zbl 1307.11124
Mukhamedov, Farrukh; Omirov, Bakhrom; Saburov, Mansoor
2014
On dynamics of Lotka-Volterra type operators. Zbl 1303.47079
Mukhamedov, Farrukh; Saburov, Mansoor
2014
Recurrence equations over trees in a non-Archimedean context. Zbl 1420.47027
Mukhamedov, F.
2014
On $$L_1$$-weak ergodicity of nonhomogeneous continuous-time Markov processes. Zbl 1336.60152
Mukhamedov, F.
2014
Relative ergodic properties of $$C^\ast$$-dynamical systems. Zbl 1297.46046
Duvenhage, Rocco; Mukhamedov, Farrukh
2014
Description of three dimensional solvable evaluation algebras. Zbl 1379.17003
Mukhamedov, Farrukh; Omirov, Bakhrom; Qaralleh, Izzat
2014
Measurable bundles of $$C^*$$-dynamical systems and its applications. Zbl 1322.47021
Ganiev, Inomjon; Mukhamedov, Farrukh
2014
On dynamical systems and phase transitions for $$q + 1$$-state $$p$$-adic Potts model on the Cayley tree. Zbl 1280.46047
Mukhamedov, Farrukh
2013
On $$L_1$$-weak ergodicity of nonhomogeneous discrete Markov processes and its applications. Zbl 1334.60145
Mukhamedov, Farrukh
2013
The Dobrushin ergodicity coefficient and the ergodicity of noncommutative Markov chains. Zbl 1312.46054
Mukhamedov, Farrukh
2013
The $$p$$-adic Potts model on the Cayley tree of order three. Zbl 1286.82004
Mukhamedov, F.; Akin, H.
2013
Weak ergodicity of nonhomogeneous Markov chains on noncommutative $$L^1$$-spaces. Zbl 1276.47012
Mukhamedov, Farrukh
2013
On equation $$x^q=a$$ over $$\mathbb Q_p$$. Zbl 1293.11062
Mukhamedov, Farrukh; Saburov, Mansoor
2013
Solvability of cubic equations in $$p$$-adic integers $$(p>3)$$. Zbl 1294.11205
Mukhamedov, F. M.; Omirov, B. A.; Saburov, M. Kh.; Masutova, K. K.
2013
On $$\xi^{(s)}$$-quadratic stochastic operators on two-dimensional simplex and their behavior. Zbl 1470.47031
Mukhamedov, Farrukh; Saburov, Mansoor; Qaralleh, Izzat
2013
On pure quasi-quantum quadratic operators of $$\mathbb M_2(\mathbb C)$$. Zbl 1280.81012
Mukhamedov, Farrukh; Abduganiev, Abduaziz
2013
On Kadison-Schwarz type quantum quadratic operators on $$\mathbb M_2(\mathbb C)$$. Zbl 1276.81056
Mukhamedov, Farrukh; Abduganiev, Abduaziz
2013
Weighted ergodic theorems for Banach-Kantorovich lattice $$L_p(\hat\nabla,\hat\mu)$$. Zbl 1316.37002
Ganiev, Inomjon; Mukhamedov, Farrukh
2013
Phase transitions for $$p$$-adic Potts model on the Cayley tree of order three. Zbl 1456.82825
Mukhamedov, Farrukh; Akın, Hasan
2013
A dynamical system approach to phase transitions for $$p$$-adic Potts model on the Cayley tree of order two. Zbl 1271.82018
Mukhamedov, Farrukh
2012
On tensor products of weak mixing vector sequences and their applications to uniquely $$E$$-weak mixing $$C^{*}$$-dynamical systems. Zbl 1243.46055
Mukhamedov, Farrukh
2012
A polynomial $$p$$-adic dynamical system. Zbl 1294.37033
Mukhamedov, F. M.; Rozikov, U. A.
2012
Existence of $$p$$-adic quasi Gibbs measure for countable state Potts model on the Cayley tree. Zbl 1281.46062
Mukhamedov, Farrukh
2012
$$G$$-decompositions of matrices and related problems. I. Zbl 1242.15033
Ganikhodzhaev, Rasul; Mukhamedov, Farrukh; Saburov, Mansoor
2012
On unification of the strong convergence theorems for a finite family of total asymptotically nonexpansive mappings in Banach spaces. Zbl 1318.47091
Mukhamedov, Farrukh; Saburov, Mansoor
2012
On convergence theorems of an implicit iterative process with errors for a finite family of asymptotically quasi $$I$$-nonexpansive mappings. Zbl 06121870
Mukhamedov, Farrukh; Saburov, Mansoor
2012
Quadratic stochastic operators and processes: results and open problems. Zbl 1242.60067
Ganikhodzhaev, Rasul; Mukhamedov, Farrukh; Rozikov, Utkir
2011
On quantum Markov chains on Cayley tree I: Uniqueness of the associated chain with $$XY$$-model on the Cayley tree of order two. Zbl 1239.46044
Accardi, Luigi; Mukhamedov, Farrukh; Saburov, Mansoor
2011
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 1237.82009
Accardi, Luigi; Mukhamedov, Farrukh; Saburov, Mansoor
2011
On quantum quadratic operators of $$\mathbb M_2(\mathbb C)$$ and their dynamics. Zbl 1210.47081
Mukhamedov, Farrukh; Akın, Hasan; Temir, Seyit; Abduganiev, Abduaziz
2011
Uniqueness of quantum Markov chains associated with an $$XY$$-model on a Cayley tree of order 2. Zbl 1245.82018
Accardi, L.; Mukhamedov, F. M.; Saburov, M. Kh.
2011
Phase transitions for $$XY$$-model on the Cayley tree of order three in quantum Markov chain scheme. Zbl 1220.81152
Mukhamedov, Farrukh; Saburov, Mansoor
2011
On dominant contractions and a generalization of the zero-two law. Zbl 1231.47034
Mukhamedov, Farrukh
2011
Weak convergence of an implicit iterative process with errors for an asymptotically quasi $$I$$-nonexpansive mapping in Banach spaces. Zbl 1368.47074
Mukhamedov, Farrukh; Saburov, Mansoor
2011
On $$p$$-adic quasi Gibbs measures for $$q+1$$-state Potts model on the Cayley tree. Zbl 1268.82007
Mukhamedov, Farrukh
2010
Quantum Markov fields on graphs. Zbl 1211.46072
Accardi, Luigi; Ohno, Hiromichi; Mukhamedov, Farrukh
2010
On homotopy of Volterrian quadratic stochastic operators. Zbl 1217.47102
Mukhamedov, Farrukh; Saburov, Mansoor
2010
Strong convergence of an explicit iteration process for a totally asymptotically $$I$$-nonexpansive mapping in Banach spaces. Zbl 1201.47064
Mukhamedov, Farrukh; Saburov, Mansoor
2010
Ergodic properties of Bogoliubov automorphisms in free probability. Zbl 1202.37007
Fidaleo, Francesco; Mukhamedov, Farrukh
2010
Weak and strong convergence of an implicit iteration process for an asymptotically quasi-I-nonexpansive mapping in Banach space. Zbl 1202.47080
Mukhamedov, Farrukh; Saburov, Mansoor
2010
On the description of bistochastic Kadison-Schwarz operators on $$\mathbb M_2(\mathbb C)$$. Zbl 1207.81009
Mukhamedov, Farrukh; Abduganiev, Abduaziz
2010
...and 54 more Documents
all top 5

### Cited by 204 Authors

 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 Linear Algebra and its Applications 10 Mathematical Notes 9 Positivity 8 Qualitative Theory of Dynamical Systems 7 Mathematical Physics, Analysis and Geometry 7 Lobachevskii Journal of Mathematics 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Journal of Mathematical Physics 5 Linear and Multilinear Algebra 5 Reports on Mathematical Physics 5 Journal of Difference Equations and Applications 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Ergodic Theory and Dynamical Systems 4 Abstract and Applied Analysis 4 JP Journal of Algebra, Number Theory and Applications 4 Journal of Applied Nonlinear Dynamics 3 Letters in Mathematical Physics 3 Ukrainian Mathematical Journal 3 Reviews in Mathematical Physics 3 Chaos, Solitons and Fractals 3 Results in Mathematics 3 Annales Henri Poincaré 3 Journal of Algebra and its Applications 3 Proceedings of the Steklov Institute of Mathematics 3 Banach Journal of Mathematical Analysis 2 Communications in Algebra 2 Journal of Algebra 2 Siberian Mathematical Journal 2 Applied Mathematics Letters 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Discrete and Continuous Dynamical Systems 2 Open Systems & Information Dynamics 2 Journal of Inequalities and Applications 2 Dynamical Systems 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Mediterranean Journal of Mathematics 2 Journal of Statistical Mechanics: Theory and Experiment 2 Discontinuity, Nonlinearity, and Complexity 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 International Journal of Theoretical Physics 1 Journal of Mathematical Biology 1 Nonlinearity 1 Periodica Mathematica Hungarica 1 Physica A 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Bulletin of Mathematical Biology 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Glasgow Mathematical Journal 1 Integral Equations and Operator Theory 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Quaestiones Mathematicae 1 Statistics & Probability Letters 1 Stochastic Analysis and Applications 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Journal of Theoretical Probability 1 Indagationes Mathematicae. New Series 1 Journal of Mathematical Sciences (New York) 1 Computational and Applied Mathematics 1 Turkish Journal of Mathematics 1 Fractals 1 Journal of Convex Analysis 1 Izvestiya: Mathematics 1 The Journal of Fourier Analysis and Applications 1 Revista Matemática Complutense 1 Matematicheskie Trudy 1 Acta Mathematica Sinica. English Series 1 Probability in the Engineering and Informational Sciences 1 Applied Sciences 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Journal of Applied Mathematics 1 Central European Journal of Mathematics 1 Fixed Point Theory and Applications 1 Advances in Difference Equations 1 Stochastics 1 International Journal of Number Theory 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Physics A: Mathematical and Theoretical 1 International Journal of Biomathematics 1 Journal of Nonlinear Science and Applications 1 São Paulo Journal of Mathematical Sciences 1 Set-Valued and Variational Analysis 1 Science China. Mathematics 1 Functional Analysis, Approximation and Computation 1 Annals of Functional Analysis 1 Eurasian Mathematical Journal 1 Journal of Mathematics and Computer Science. JMCS 1 Analysis and Mathematical Physics ...and 9 more Serials