## Ganikhodjaev, Nasir Nabievich

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 Author ID: ganikhodjaev.nasir-n Published as: Ganikhodzhaev, N. N.; Ganikhodjaev, Nasir; Ganikhodjaev, N. N.; Ganihodzaev, N. N.; Ganikhodjaev, Nasir N.; Ganikkodzhaev, N. N.; Ganikodhjaev, Nasir; Ganikhodjaev, N. Further Spellings: Ганиходжаев Насир Набиевич Homepage: http://www.iium.edu.my/kos-1 External Links: MGP · ResearchGate · Math-Net.Ru
 Documents Indexed: 77 Publications since 1972, including 1 Book Reviewing Activity: 393 Reviews Co-Authors: 30 Co-Authors with 57 Joint Publications 304 Co-Co-Authors
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### Co-Authors

 20 single-authored 14 Mukhamedov, Farruh Maksutovich 14 Rozikov, Utkir A. 6 Akin, Hasan 5 Pah, Chin Hee 5 Temir, Seyit 4 Vinokurov, Vladimir Grigorievich 3 Sarymsakov, Tashmukhamed Alievich 2 Uǧuz, Selman 2 Wahiddin, M. R. B. 1 Anorov, O. U. 1 Azizova, S. R. 1 Blekher, P. M. 1 Formanov, Shakir Kasimovich 1 Ganikhodjaev, Rasul N. 1 Hamzah, Nur Zatul Akmar 1 Ibrahim, Huda Husna Binti 1 Islamov, K. A. 1 Jamilov, Uygun U. 1 Messikh, Azeddine 1 Meyliev, H. J. 1 Muhitdinov, Ramazon 1 Mukhamedkhanova, R. I. 1 Mukhitdinov, R. T. 1 Normatov, I. Kh. 1 Rahmatullaev, Muzaffar 1 Razak, Fatimah Abdul 1 Rodzhan, Mohd Hirzie Bin Mohd 1 Usmanova, M. D. 1 Zanin, Dmitriy V. 1 Zhamilov, U. U.
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### Serials

 5 Doklady Akademii Nauk UzSSR 5 Uzbekskiĭ Matematicheskiĭ Zhurnal 4 Theoretical and Mathematical Physics 4 Izvestiya Akademii Nauk UzSSR. Seriya Fiziko-Matematicheskikh Nauk 4 Doklady Akademii Nauk Respubliki Uzbekistan. Matematika, Tekhnicheskie Nauki, Estestvoznanie 3 Mathematical Physics, Analysis and Geometry 3 Journal of Concrete and Applicable Mathematics 2 Journal of Mathematical Physics 2 Russian Mathematical Surveys 2 Soviet Mathematics. Doklady 2 Journal of Theoretical Probability 2 Izvestiya: Mathematics 2 Doklady Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Menemui Matematik 1 Physics Letters. A 1 Ukrainian Mathematical Journal 1 Theory of Probability and its Applications 1 Mathematics of the USSR. Izvestiya 1 Osaka Journal of Mathematics 1 Ergodic Theory and Dynamical Systems 1 Bulletin of the Korean Mathematical Society 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Journal of Physics A: Mathematical and General 1 Linear Algebra and its Applications 1 Turkish Journal of Mathematics 1 Journal of Difference Equations and Applications 1 Sbornik: Mathematics 1 Regular and Chaotic Dynamics 1 International Journal of Geometric Methods in Modern Physics 1 Cubo 1 Journal of Applied Functional Analysis 1 Lecture Notes in Mathematics 1 Applied Mathematics & Information Sciences 1 The Scientific World Journal. Probability and Statistics 1 Uzbek Mathematical Journal
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### Fields

 28 Statistical mechanics, structure of matter (82-XX) 25 Probability theory and stochastic processes (60-XX) 15 Measure and integration (28-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Functional analysis (46-XX) 10 Operator theory (47-XX) 6 Quantum theory (81-XX) 6 Biology and other natural sciences (92-XX) 5 Combinatorics (05-XX) 3 Nonassociative rings and algebras (17-XX) 2 Group theory and generalizations (20-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 General topology (54-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

35 Publications have been cited 388 times in 198 Documents Cited by Year
Description of periodic extreme Gibbs measures of some lattice models on the Cayley tree. Zbl 0964.82504
Ganikhodzhaev, N. N.; Rozikov, U. A.
1997
On pure phases of the Ising model on the Bethe lattices. Zbl 0715.60122
Blekher, P. M.; Ganikhodzhaev, N. N.
1990
Quadratic stochastic operators and zero-sum game dynamics. Zbl 1352.37026
Ganikhodjaev, Nasir N.; Ganikhodjaev, Rasul N.; Jamilov, U. U.
2015
The Potts model with countable set of spin values on a Cayley tree. Zbl 1101.82003
Ganikhodjaev, N. N.; Rozikov, U. A.
2006
Quantum quadratic operators and processes. Zbl 1335.60002
Mukhamedov, Farrukh; Ganikhodjaev, Nasir
2015
On a necessary condition for the ergodicity of quadratic operators defined on a two-dimensional simplex. Zbl 1160.37307
Ganikhodzhaev, N. N.; Zanin, D. V.
2004
On Ising model with four competing interactions on Cayley tree. Zbl 1185.60112
Ganikhodjaev, N. N.; Rozikov, U. A.
2009
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
On stochastic processes generated by quadric operators. Zbl 0744.60075
Ganikhodzhaev, N. N.
1991
Analytic methods in the theory of quadric stochastic operators. Zbl 0696.60062
Sarymsakov, T. A.; Ganikhodzhaev, N. N.
1990
On quadratic stochastic operators generated by Gibbs distributions. Zbl 1164.37309
Ganikhodzhaev, N. N.; Rozikov, U. A.
2006
The Potts model on $${\mathbb Z}^ d$$ with countable set of spin values. Zbl 1070.82007
Ganikhodjaev, Nasir
2004
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 discrete quadratic stochastic processes defined on von Neumann algebras. Zbl 0977.60040
Ganikhodzhaev, N. N.; Mukhamedov, F. M.
2000
Exact solution of an Ising model with competing interactions on a Cayley tree. Zbl 1168.82316
Ganikhodjaev, N. N.; Pah, C. H.; Wahiddin, M. R. B.
2003
An Ising model with three competing interactions on a Cayley tree. Zbl 1071.82015
Ganikhodjaev, N. N.; Pah, C. H.; Wahiddin, M. R. B.
2004
On disordered phase in the ferromagnetic Potts model on the Bethe lattice. Zbl 0980.82006
Ganikodhjaev, Nasir; Rozikov, Utkir
2000
Exact solution of the Ising model on the Cayley tree with competing ternary and binary interactions. Zbl 1031.82012
Ganikhodzhaev, N. N.
2002
On an application of the theory of Gibbs distributions in mathematical genetics. Zbl 1052.92040
Ganikhodzhaev, N. N.
2000
Nonergodic quadratic operators for a two-sex population. Zbl 1331.37136
Ganikhodzhaev, N. N.; Zhamilov, U. U.; Mukhitdinov, R. T.
2014
On the quantum quadratic stochastic processes and ergodic theorems for these processes. Zbl 0930.60023
Ganikhodzhaev, N. N.; Mukhamedov, F. M.
1997
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 the ergodic principle for quadratic processes. Zbl 0765.60076
Sarymsakov, T. A.; Ganikhodzhaev, N. N.
1991
A group representation of the Cayley forest and some of its applications. Zbl 1065.82005
Ganikhodzhaev, N. N.; Rozikov, U. A.
2003
Ergodic properties of quantum quadratic stochastic processes defined on von Neumann algebras. Zbl 0934.46071
Ganikhodzhaev, N. N.; Mukhamedov, F. M.
1998
On some properties of a class of diagonalizable states of von Neumann algebras. Zbl 1085.46040
Ganikhodzhaev, N. N.; Mukhamedov, F. M.
2004
Conditional functions in the trajectory theory of dynamical systems. Zbl 0428.28013
Vinokurov, V. G.; Ganikhodzhaev, N. N.
1979
Analytic methods in the theory of quantum quadratic stochastic processes. Zbl 1165.81336
Ganikhodjaev, N. N.; Mukhamedov, F. M.; Rozikov, U. A.
2000
On Poisson nonlinear transformations. Zbl 1328.60156
Ganikhodjaev, Nasir; Hamzah, Nur Zatul Akmar
2014
Modulated phase of a Potts model with competing binary interactions on a Cayley tree. Zbl 1198.82014
Ganikhodjaev, N.; Temir, S.; Akin, H.
2009
Potts model with two competing binary interactions. Zbl 1132.82005
Ganikhodjaev, Nasir; Akin, Hasan; Temir, Seyit
2007
On Lebesgue nonlinear transformations. Zbl 1370.47055
Ganikhodjaev, Nasir; Muhitdinov, Ramazon; Saburov, M.
2017
On unordered phases of certain models on a Cayley tree. Zbl 0932.60089
Ganikhodzhaev, N. N.; Rozikov, U. A.
1999
Analytic methods in the theory of quadratic stochastic operators. Zbl 0698.60042
Sarymsakov, T. A.; Ganikhodzhaev, N. N.
1989
Limiting Gibbs measures of Potts model with countable set of spin values. Zbl 1151.82006
Ganikhodjaev, N. N.
2007
On Lebesgue nonlinear transformations. Zbl 1370.47055
Ganikhodjaev, Nasir; Muhitdinov, Ramazon; Saburov, M.
2017
Quadratic stochastic operators and zero-sum game dynamics. Zbl 1352.37026
Ganikhodjaev, Nasir N.; Ganikhodjaev, Rasul N.; Jamilov, U. U.
2015
Quantum quadratic operators and processes. Zbl 1335.60002
Mukhamedov, Farrukh; Ganikhodjaev, Nasir
2015
Nonergodic quadratic operators for a two-sex population. Zbl 1331.37136
Ganikhodzhaev, N. N.; Zhamilov, U. U.; Mukhitdinov, R. T.
2014
On Poisson nonlinear transformations. Zbl 1328.60156
Ganikhodjaev, Nasir; Hamzah, Nur Zatul Akmar
2014
On Ising model with four competing interactions on Cayley tree. Zbl 1185.60112
Ganikhodjaev, N. N.; Rozikov, U. A.
2009
Modulated phase of a Potts model with competing binary interactions on a Cayley tree. Zbl 1198.82014
Ganikhodjaev, N.; Temir, S.; Akin, H.
2009
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
Potts model with two competing binary interactions. Zbl 1132.82005
Ganikhodjaev, Nasir; Akin, Hasan; Temir, Seyit
2007
Limiting Gibbs measures of Potts model with countable set of spin values. Zbl 1151.82006
Ganikhodjaev, N. N.
2007
The Potts model with countable set of spin values on a Cayley tree. Zbl 1101.82003
Ganikhodjaev, N. N.; Rozikov, U. A.
2006
On quadratic stochastic operators generated by Gibbs distributions. Zbl 1164.37309
Ganikhodzhaev, N. N.; Rozikov, U. A.
2006
On the ergodic principle for Markov and quadratic stochastic processes and its relations. Zbl 1096.60038
Ganikhodjaev, Nasir; Akin, Hasan; Mukhamedov, Farrukh
2006
On a necessary condition for the ergodicity of quadratic operators defined on a two-dimensional simplex. Zbl 1160.37307
Ganikhodzhaev, N. N.; Zanin, D. V.
2004
The Potts model on $${\mathbb Z}^ d$$ with countable set of spin values. Zbl 1070.82007
Ganikhodjaev, Nasir
2004
An Ising model with three competing interactions on a Cayley tree. Zbl 1071.82015
Ganikhodjaev, N. N.; Pah, C. H.; Wahiddin, M. R. B.
2004
On some properties of a class of diagonalizable states of von Neumann algebras. Zbl 1085.46040
Ganikhodzhaev, N. N.; Mukhamedov, F. M.
2004
Exact solution of an Ising model with competing interactions on a Cayley tree. Zbl 1168.82316
Ganikhodjaev, N. N.; Pah, C. H.; Wahiddin, M. R. B.
2003
A group representation of the Cayley forest and some of its applications. Zbl 1065.82005
Ganikhodzhaev, N. N.; Rozikov, U. A.
2003
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
Exact solution of the Ising model on the Cayley tree with competing ternary and binary interactions. Zbl 1031.82012
Ganikhodzhaev, N. N.
2002
Ergodic properties of discrete quadratic stochastic processes defined on von Neumann algebras. Zbl 0977.60040
Ganikhodzhaev, N. N.; Mukhamedov, F. M.
2000
On disordered phase in the ferromagnetic Potts model on the Bethe lattice. Zbl 0980.82006
Ganikodhjaev, Nasir; Rozikov, Utkir
2000
On an application of the theory of Gibbs distributions in mathematical genetics. Zbl 1052.92040
Ganikhodzhaev, N. N.
2000
Analytic methods in the theory of quantum quadratic stochastic processes. Zbl 1165.81336
Ganikhodjaev, N. N.; Mukhamedov, F. M.; Rozikov, U. A.
2000
On unordered phases of certain models on a Cayley tree. Zbl 0932.60089
Ganikhodzhaev, N. N.; Rozikov, U. A.
1999
Ergodic properties of quantum quadratic stochastic processes defined on von Neumann algebras. Zbl 0934.46071
Ganikhodzhaev, N. N.; Mukhamedov, F. M.
1998
Description of periodic extreme Gibbs measures of some lattice models on the Cayley tree. Zbl 0964.82504
Ganikhodzhaev, N. N.; Rozikov, U. A.
1997
On the quantum quadratic stochastic processes and ergodic theorems for these processes. Zbl 0930.60023
Ganikhodzhaev, N. N.; Mukhamedov, F. M.
1997
On stochastic processes generated by quadric operators. Zbl 0744.60075
Ganikhodzhaev, N. N.
1991
On the ergodic principle for quadratic processes. Zbl 0765.60076
Sarymsakov, T. A.; Ganikhodzhaev, N. N.
1991
On pure phases of the Ising model on the Bethe lattices. Zbl 0715.60122
Blekher, P. M.; Ganikhodzhaev, N. N.
1990
Analytic methods in the theory of quadric stochastic operators. Zbl 0696.60062
Sarymsakov, T. A.; Ganikhodzhaev, N. N.
1990
Analytic methods in the theory of quadratic stochastic operators. Zbl 0698.60042
Sarymsakov, T. A.; Ganikhodzhaev, N. N.
1989
Conditional functions in the trajectory theory of dynamical systems. Zbl 0428.28013
Vinokurov, V. G.; Ganikhodzhaev, N. N.
1979
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### Cited by 112 Authors

 35 Theoretical and Mathematical Physics 13 Journal of Statistical Physics 9 Lobachevskii Journal of Mathematics 8 Mathematical Notes 8 Mathematical Physics, Analysis and Geometry 8 Qualitative Theory of Dynamical Systems 6 Linear Algebra and its Applications 6 Journal of Difference Equations and Applications 6 Positivity 6 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 5 Journal of Mathematical Analysis and Applications 4 Linear and Multilinear Algebra 4 Ukrainian Mathematical Journal 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Journal of Mathematical Physics 3 Letters in Mathematical Physics 3 Siberian Mathematical Journal 3 Infinite Dimensional Analysis, Quantum Probability and Related Topics 3 Journal of Siberian Federal University. Mathematics & Physics 2 Nonlinearity 2 Reports on Mathematical Physics 2 Reviews in Mathematical Physics 2 Journal of Algebra 2 Ergodic Theory and Dynamical Systems 2 Stochastic Analysis and Applications 2 Abstract and Applied Analysis 2 Open Systems & Information Dynamics 2 Journal of Inequalities and Applications 2 Journal of Statistical Mechanics: Theory and Experiment 2 Proceedings of the Steklov Institute of Mathematics 1 Acta Mechanica 1 Communications in Algebra 1 Communications in Mathematical Physics 1 International Journal of Theoretical Physics 1 Physica A 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 The Annals of Probability 1 Journal of Soviet Mathematics 1 Results in Mathematics 1 Acta Applicandae Mathematicae 1 Journal of Theoretical Probability 1 Applied Mathematical Modelling 1 Indagationes Mathematicae. New Series 1 Russian Mathematics 1 Journal of Mathematical Sciences (New York) 1 Journal of Convex Analysis 1 Doklady Mathematics 1 Revista Matemática Complutense 1 Annales Henri Poincaré 1 Journal of Nonlinear Mathematical Physics 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Dynamical Systems 1 JP Journal of Algebra, Number Theory and Applications 1 Journal of Algebra and its Applications 1 Banach Journal of Mathematical Analysis 1 Journal of Nonlinear Science and Applications 1 Annals of Functional Analysis 1 Journal of Mathematics and Computer Science. JMCS 1 Bulletin of Mathematical Sciences 1 Journal of Applied Nonlinear Dynamics 1 The Scientific World Journal. Probability and Statistics