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Nasir Ganikhodjaev
Professor

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Professor Nasir Ganikhodjaev started his career as a Junior Research Associate at the Institute of Mathematics Academy Sciences of Uzbekistan in 1971. Since then, he has served in various capacities in the same Institute, namely, 1972-1975- Ph.D student, 1976-1990- Senior Research Associate and 1990-2002- Leading Research Associate. From 1997 till 2003 Prof. Nasir worked at the Tashkent State University (later renamed as National University of Uzbekistan) as Head of Chair of Functional Analysis. From 2003, Prof. Nasir has been working as a Professor at the International Islamic University ... show more

  • Rehabilitation Degree Doctor of Sciences in Physics and Mathematics - Doctor of Philosophy, Tashkent State University, Uzbekistan
  • Ph.D in Physics and Mathematics - Doctor of Philosophy, Tashkent State University, Uzbekistan
  • Scientific - Diploma, Tashkent State University
  • Master in Mathematics - Masters Degree, Tashkent State University, Uzbekistan
  • Natural Science ~ Mathematical Sciences ~ Applied Mathematics ~ Functional Analysis - Ergodic Theory;
  • Natural Science ~ Mathematical Sciences ~ Applied Statistics ~ Stochastic Analysis and Modelling - Stochastic Processes; Ergodic Theory I; Ergodic Theory III;
  • Natural Science ~ Mathematical Sciences ~ Mathematics and Statistics for Science and Engineering ~ Other Mathematics and Statistics for Science and Engineering n.e.c. - Ergodic Theory; Classification of non-measurable partitions and corresponding von Neumann algebras.
  • Natural Science ~ Physical Sciences ~ Theoretical and Computational Physics ~ Statistical Physics and Thermodynamics - Analytic Geometry; Advanced Analysis
  • Natural Science ~ Physical Sciences ~ Theoretical and Computational Physics ~ Statistical Physics and Thermodynamics - Courses: Introduction to Statistics; Theory of Probability;
  • 1976 - 2025 , American Mathematical Society
  • 2002 - 2025 , European Mathematical Society
  • 2018 - 2021 ,
  • 2018 - 2021 ,
  • 2018 - 2020 ,
ADVANCED ANALYSIS 2004/2005 2005/2006 2006/2007 2016/2017 2018/2019 2019/2020
ALGEBRA 2003/2004 2004/2005
ALGEBRA AND NUMBER THEORY 2004/2005
ANALYSIS 2003/2004 2004/2005
ANALYTIC GEOMETRY 2010/2011
ERGODIC THEORY 1 2019/2020
ERGODIC THEORY I 2005/2006 2006/2007 2007/2008 2008/2009 2009/2010 2010/2011 2011/2012 2012/2013 2013/2014 2015/2016 2016/2017 2017/2018 2018/2019
ERGODIC THEORY II 2005/2006 2007/2008
ERGODIC THEORY III 2005/2006 2007/2008 2008/2009 2011/2012 2012/2013 2013/2014 2014/2015 2016/2017 2017/2018 2018/2019 2019/2020
INTRODUCTION TO STATISTICS 2009/2010
LINEAR ALGEBRA 2003/2004
STOCHASTIC PROCESSES 2006/2007 2007/2008 2008/2009 2009/2010 2010/2011 2011/2012 2012/2013 2013/2014 2014/2015 2015/2016 2016/2017 2017/2018 2018/2019 2019/2020
THEORY OF PROBABILITY 2009/2010
In Progress
2019 - Present Stability Analysis of Nonlinear Operator (Quadratic) and Z_5-symmetric Models
2017 - Present Models with competing interactions on Cayley tree of higher order
2017 - Present The zeros of Ising model partition function on second order Cayley tree.
2017 - Present The chaos implies the phase transition: p-adic dynamical system approaches to the quest for a new class of p-adic Gibbs measures
2016 - Present Regularity of Quadratic Stochastic Operators on Infinite State Space
2013 - Present DYNAMICAL SYSTEMS AND THEIR APPLICATIONS (DSTA)
Completed
2014 - 2017 Applications of Scrambling Nonlinear Operators in Consensus Problems
2014 - 2017 Dynamic Stochastic Model on Multilateral Trade with Gold
2014 - 2018 Quadratic Stochastic Operators with Infinite State Space and Their Applications
2013 - 2015 Quartic Equation over P-Adic Field
2012 - 2014 Random Binomial Tree Models in Financial Mathematics and their applications
2011 - 2012 KVC Project 2011 - Analytic Geometry
2011 - 2014 RU 2011: Weighted Ergodic Properties for Banach-Kantorovich Lattices
2011 - 2012 KVC Project 2011 - Introduction to Lattice Statistical Mechanics
2011 - 2012 Ising Model on A General Cayley Tree with Competing Next-nearest-neighbour Interactions
2010 - 2013 Phase Diagram of the Potts Model on a Cayley Tree in the Presence of competing interactions and external magnetic field
2009 - 2010 Limit Behavior of Dynamic Systems Corresponding to Lattice Models with Competing Prolonged and one-Level Binary Interactions
2009 - 2012 Generalization of Catalan Number On Cayley Tree Of Order K
2009 - 2011 Dynamics of some class of quadratic stochastic operators and its applications
2009 - 2012 On Generalized Gibbs measures of a countable state p-adic Potts Model and Their Properties
2009 - 2010 On Some Nonlinear Dynamic Systems Arising in Statistical Mechanics
2008 - 2011 Quantum Markov Chains, Quantum Quadratic Stochastic Processes
2008 - 2009 On Infinite Dimensional Volterra Type Operators
2008 - 2010 On Some Application Theory of Quardratic Stochastic Operators in Medicine
2006 - 2012 Free Space Quantum Key Distribution: Implementation and Security Analysis
2006 - 2009 STATISTICAL MECHANICS OF NONLINEAR DISCRETE SYSTEMS
2006 - 2007 Fuzzy correlation Inequalities for Ferromagnetic System
2004 - 2006 The Pirogov-Sinai Theory for Lattice Model Cayley Tree
Unknown - 2016 FUZZY CORRELATION INEQUALITIES FOR FERROMAGNETIC SYSTEMS
30 نوفمبر 2018 Award for 15 Years of Service. International Islamic University Malaysia - University level.
27 يناير 2017 CERTIFICATE OF APPRECIATION FOR IIUM SUCCESS. Others - University level.
13 يونيو 2014 IIUM Research, Invention and Innovation Exhibition 2014. Gold Medal - International level.
20 فبراير 2013 Nominated by KOS for the Outstanding Researcher Award Category. RM 1000 - University level.
10 فبراير 2011 IIUM Research, Invention and Innovation Exhibition 2011 . 1 Silver medal - University level.
26 يناير 2010 IIUM Research,Invention and Innovation Exhibition 2010. Two Silver medals - University level.
17 فبراير 2006 Quality research award. certificate and RM1000 - University level.
04 مارس 2005 Best researcher. certificate and RM1000 - University level.
Article
2019 Paramagnetic phases of four-state Potts model on a Cayley tree in the presence of competing interactions. Phase Transitions , 92 (8) pp.730-736
2018 Ising model on the semi-infinite Cayley tree of third order with inhomogeneous interactions. , 1974 pp.030013-1
2018 Weakly periodic Gibbs measures of the ising model on the cayley tree of order five and six. Mathematical Physics, Analysis and Geometry , 21 (1) pp.1-10
2018 Lattice models on cayley tree with competing interactions. Jurnal Fizik Malaysia pp.20041-20049
2018 On non-ergodic Gaussian quadratic stochastic operators. AIP Conference Proceedings , 1974 pp.030021-1-030021-7
2018 Strictly non-volterra Quadratic Stochastic Operator (QSO) on 3-dimensional simplex. AIP Conference Proceedings , 1974 pp.030020-1
2017 On Lebesgue nonlinear transformations. Bulletin of Korean Mathematical Society , 54 (2) pp.607-618
2016 Periodic cellular automata of period-2. Malaysian Journal of Mathematical Sciences , 10 (Special Issue) pp.131-142
2016 Nonhomogeneous poisson nonlinear transformations on countable infinite set. Malaysian Journal of Mathematical Sciences , 10 (Special Issue) pp.143-155
2016 Algebras with genetic realization and corresponding evolutionary population dynamics. Contemporary Mathematics , 672 pp.169-178
2016 Ising model with competing “uncle–nephew” interactions. Phase Transitions pp.1-7
2015 Periodic Cellular Automata of Period-3. Journal of Applied Science and Agriculture , 10 (5) pp.89-96
2015 Ising model on the cayley tree with competing interactions up to the third nearest-neighbors with spins belonging to different branches of the tree. Journal of the Korean Physical Society , 66 (8) pp.1200-1206
2015 On volterra quadratic stochastic operators with continual state space . AIP Conference Proceedings , 1660 (050025) pp.1-7
2015 On Gaussian nonlinear transformations. AIP Conference Proceedings , 1682 pp.040009-1
2015 Geometric quadratic stochastic operator on countable infinite set. AIP Conference Proceedings , 1643 pp.706-712
2015 Quadratic stochastic operators on segment [0,1] and their limit behavior . Indian Journal of Science and Technology , 8 (30) pp.1-12
2015 Quadratic stochastic operators and zero-sum game dynamics . Ergodic Theory and Dynamical Systems , 35 (5) pp.1443-1473
2015 The Hamiltonian three-parameter spaces of the q -state Potts model with three competing interactions on a Cayley tree. Journal of the Korean Physical Society , 66 (10) pp.1467-1474
2015 Contracting quadratic operators of bisexual population. Applied Mathematics & Information Sciences , 9 (5) pp.2645-2650
2014 On sufficient condition of ergodicity of volterra quadratic operators of bisexual population. Uzbek Mathematical Journal , 2 pp.35-42
2014 Nonergodic quadratic operators for a two-sex population. Ukrainian Mathematical Journal , 65 (8) pp.1282-1291
2014 On poisson nonlinear transformations. The Scientific World Journal , 2014 (832861) pp.1-7
2014 Mutation and chaos in nonlinear models of heredity. The Scientific World Journal , 2014 pp.835069(1)-835069(11)
2014 On rare mutation, chaos and Darwin’s theory. Revelation and Science , 4 (1) pp.37-44
2013 The blume-emery-griffiths model on Cayley tree and its phase transitions. Middle-East Journal of Scientific Research , 13 pp.83-89
2013 On non-ergodic transformations on S3. Journal of Physics: Conference Series , 435 (012005) pp.012005-1
2013 Strange attractors in the Vannimenus model on an arbitrary order cayley tree. Journal of Physics: Conference Series , 435 (012031) pp.012031-1
2013 On paramagnetic phases of the Potts model on a Bethe lattice in the presence of competing interactions. Journal of Physics: Conference Series , 435 (012035) pp.1-6
2013 Two potts models on Cayley Tree of arbitrary order. Journal of Physics: Conference Series , 435 (012033)
2013 On pricing futures options on random binomial tree. Journal of Physics: Conference Series , 435 (012043) pp.1-10
2013 International Conference on Advancement in Science and Technology 2012 (iCAST): Contemporary Mathematics, Mathematical Physics and their Applications. Journal of Physics: Conference Series , 435 (conf.1) pp.011001-1
2013 Attractors on Ising Model with Restricted Interactions on Cayley Tree of Order 2. AIP Conference Proceedings , 1522 pp.1300-1305
2013 On classification of associative non-division genetic algebras. AIP Conference Proceedings , 1557 (26 ) pp.26-30
2013 Description of extreme Gibbs measures for the Ising model with three interactions. Acta Physica Polonica A , 123 (2) pp.484-487
2013 Behavior of the phase diagrams of Potts model on Cayley tree for order three. Acta Physica Polonica A , 123 (2) pp.476-479
2013 Phase diagram of the Blume-Emery-Griffiths-Vannimenus model on the Cayley tree. Journal of Physics: Conference Series , 410 (1) pp.1-5
2013 Random Cox-Ross-Rubinstein Model and Plain Vanilla Options. World Applied Sciences Journal , 21 pp.84-87
2013 Mendelian and non-Mendelian quadratic operators. Applied Mathematics & Information Sciences , 7 (5) pp.1721-1729
2012 Potts model with next-nearest-neighbor ternary interactions on an arbitrary-order Cayley tree. Journal of the Korean Physical Society , 61 (7) pp.998-1004
2012 Behaviors of phase diagrams of Ising model with competing ternary and binary interactions on a Cayley tree of arbitrary order. Acta Physica Polonica A , 121 (1) pp.104-107
2012 The competing interactions on a Cayley tree-like lattice: pentagonal chandelier. Acta Physica Polonica A , 121 (1) pp.114-118
2012 Lyapunov exponents and modulated phases of an ising model on cayley tree of arbitrary order. International Journal of Modern Physics C , 23 (5) pp.1250039 (1)-1250039 (15)
2012 Lattice gas and thermodynamics in models of heredity. International Journal of Modern Physics: Conference Series , 9 (1) pp.157-162
2012 Random binomial tree models and options . Journal of Applied Sciences , 12 (18) pp.1978-1981
2011 Competing binary and k-tuple interactions on a Cayley tree of arbitrary order. Physica A: Statistical Mechanics and its Applications , 390 (23-24) pp.4160-4173
2011 On extreme Gibbs measures of the Vannimenus model. Journal of Statistical Mechanics: Theory and Experiment , 2011 (03) pp.P03025
2011 Phase diagrams of an Ising system with competing binary, prolonged ternary and next-nearest interactions on a Cayley tree. Journal of Concrete and Applicable Mathematics , 9 (1) pp.26-34
2011 Potts model with the simplest modulated phase. Korean Physical Society. Journal , 59 (5) pp.2971-2979
2011 Strange attractor in the Potts model on a Cayley tree in the presence of competing interactions. Journal of Concrete and Applicable Mathematics , 9 (1) pp.47-54
2011 Ising model with restricted interactions on general Cayley tree of arbitrary order. Australian Journal of Basic and Applied Sciences , 5 (8) pp.1296-1304
2011 Phase diagram and extreme Gibbs measures of the Ising model on a Cayley tree in the presence of competing binary and ternary interactions. Phase Transitions , 84 (11-12) pp.1045-1063
2011 Phase diagram of the Ising model with next-nearest-neighbour interactions. Australian Journal of Basic and Applied Sciences , 5 (2) pp.173-181
2011 On non-associativity of Rhesus factor transmission. Journal of Concrete and Applicable Mathematics , 9 (1) pp.55-59
2011 The miracle in the iron and the Ising model of the ferromagnet. Revelation and Science , 1 (1) pp.1-13
2010 Griffith-Kelly-Sherman correlation inequalities for generalized Potts model. Mathematical Physics, Analysis and Geometry , 13 (1) pp.1-18
2010 Stochastic models of heredity rhesus factor. Australian Journal of Basic and Applied Sciences , 4 (8) pp.3306-3310
2010 Linear and nonlinear models of heredity for blood groups and rhesus factor. Journal of Applied Sciences , 10 (16) pp.1748-1754
2010 Modulated phase of an Ising system with competing interactions on a Cayley Tree of arbitrary order. AIP Conference Proceedings , 1281 pp.2074-2077
2010 Phase diagrams of a Potts model with competing Binary and ternary interactions. AIP Conference Proceedings , 1281 pp.2069-2073
2010 On pure phases of the Vannimenus model. AIP Conference Proceedings , 1309 pp.288-293
2009 Ergodicity of nonlinear transformations. Journal of Applied Functional Analysis , 4 (3) pp.430-433
2009 Modulated phase of a Potts Model with competing binary interactions on a Cayley tree. Journal of Statistical Physics , 137 (4) pp.701-715
2009 On phase separation points for one-dimensional models. Siberian Advances in Mathematics , 19 (2) pp.75-84
2009 On Ising model with four competing interactions on Cayley tree. Mathematical Physics, Analysis and Geometry , 12 (2) pp.141-156
2009 Phase diagram of the Potts Model with competing interactions. AIP Conference Proceedings , 1150 pp.407-410
2008 Pirogov-Sinai theory with new contours for symmetric models. International Journal of Geometric Methods in Modern Physics , 5 (4) pp.537-546
2008 Phase diagram of the three states Potts model with next nearest neighbour interactions on the Bethe lattice. Physics Letters A , 373 (1) pp.33-38
2007 Limiting Gibbs measures of Potts model with countable set of spin values. Journal of Mathematical Analysis and Applications , 336 (1) pp.693-703
2006 Phase diagrams of multicomponent lattice models. Theoretical and Mathematical Physics , 149 (2) pp.1512-1518
2006 On quadratic stochastic operators. Regular and chaotic dynamics , 11 (4) pp.467-473
2006 The Potts model with countable set of spin values on a Cayley tree . Letters in Mathematical Physics , 75 (2) pp.99-109
2004 An Ising model with three competing interactions on a Cayley tree. Journal of Mathematical Physics , 45 (9) pp.3645-3658
2004 On a necessary condition for the ergodicity of quadratic operators defined on the two-dimensional simplex. Russian Mathematical Surveys , 59 (3) pp.571-572
2003 Exact solution of an Ising model with competing interactions on a Cayley tree. Journal of Physics A: Mathematical and General , 36 (15) pp.4283-4289

Conference or Workshop Item

2019 On exactly solvable phases of models with competing interactions. In: 14th Asia-Pacific Physics Conference 2019 (APPC-14)
2019 Rock-paper-scissors lattice model. In: Workshop on Dynamical Systems and Their Applications in Mathematical Physics, Engineering, and Economics 2019 (WDS 2019)
2018 Al-Kāshī, the first scientist who introduced dynamical system. In: 25th National Symposium on Mathematical Sciences: Mathematical Sciences as the Core of Intellectual Excellence, SKSM 2017
2018 On classification of the genetic and evolution rock-paper-scissor algebras. In: International Conference on Mathematical Sciences and Technology 2018
2017 On (3,3)-Gaussian quadratic stochastic operators. In: 37th International Conference on Quantum Probability and Related Topics (QP37) 2016
2017 Two-dimensional Ising model with non-homogenous interactions. In: The 4th International Conference On Mathematical Sciences (ICMS4)
2017 Lattice models on Cayley tree with competing interactions. In: 5th International Meeting on Frontiers of Physics (IMFP2017)
2017 Measure, topology, and compactness. In: AISMM Lecture Series I: Algebra, Abnalysis and Applications
2016 On lebesque nonlinear transformation with family of continuos measures. In: 4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS
2016 On phase diagram of ising model on the cayley tree with restricted competing interactions up to the third-nearest-neighbor generation. In: The 3 rd International Conference on Mathematical Applications in Engineering 2014 (ICMAE’14)
2016 The black-litterman model in central bank practice: study for Turkish Central Bank. In: The 3rd International Conference on Mathematical Applications in Engineering 2014 (ICMAE’14)
2016 Classification of non-division genetic algebras. In: Day of Algebra Seminar 7 (DoA7)
2016 Gaussian quantum quadratic stochastic operators. In: 37th International Conference on Quantum Probability and Related Topics (QP37) 2016
2016 Quadratic stochastic operators with countable state space. In: International Conference :Algebra, Analysis and Quantum Probability
2016 Ising model on the Cayley tree of second order with left and right interactions. In: 2nd International Conference on Mathematical Sciences and Statistics: Innovations Through Mathematical and Statistical Research, ICMSS 2016
2015 Quadratic stochastic operators with infinite state spaces. In: International Conference on Algebra, Analysis and Quantum Probability 2015
2015 Lebesgue quadratic stochastic operators on segment [0,1]. In: 7th International conference on Research and Education in Mathematics (ICREM7)
2015 Lattice models on the Cayley tree with competing interactions up to the third-nearest-neighbors with spins belonging to the different branches of the tree. In: Workshop on Modern Methods of Mathematical Physics 2015 in conjunction with Shavkat Alimov's 70th Birthday (WM3P 2015)
2015 Periodic cellular automata of Period-3. In: International Postgraduate Conference on Physics, and Mathematical Sciences 2015 (IPCPMS 2015)
2015 Limit behavior of some quadratic stochastic operators on segment [0,1]. In: The 4th International Conference on Computer Science & Computational Mathematics (ICCSCM 2015)
2015 Ising model with competing "Uncle-Nephew" interaction. In: 114th Statistical Mechanics Conference Rutgers University
2014 Random trinomial tree models and gold futures options: how to survive financial crises with mathematics. In: International Research, Invention and Innovation Exhibition 2014 (IRIIE2014)
2014 A mathematical model of rare mutations and chaos. In: International Research, Invention and Innovation Exhibition 2014 (IRIIE2014)
2014 Associative three-dimensional genetic algebras . In: International Research, Invention and Innovation Exhibition 2014 (IRIIE2014)
2014 A new approach for istijrar valuation under stochastic volatility. In: Islamic Business Management Conference (IBMC) 2014
2014 On Ising model with one-level pentagon interactions on the Cayley tree-like lattice:Pentagonal chandelier. In: International Conference on Quantitative Sciences and Its Applications (ICOQSIA 2014)
2014 Geometric quadratic stochastic operators on countable infinite set. In: The 2nd ISM International Statistical Conference 2014 with Applications in Science and Engineering (ISM II)
2014 Gaussian quadratic stochastic operator. In: THE 22nd NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES
2014 On volterra quadratic stochastic operators with continual state space. In: International Conference on Mathematics, Engineering and Industrial Applications 2014 (ICoMEIA2014)
2014 Quadratic stochastic operators and evolutionary dynamics of zero-sum games. In: USA-Uzbekistan Conference on Natural Sciences and mathematicsx
2013 Mutation and chaos in nonlinear models of heredity. In: 3rd Annual International Conference on Operations Research and Statistics (ORS 2013)
2013 On classification of associative non-division genetic algebras. In: International Conference On Mathematical Sciences And Statistics 2013
2013 On rare mutation and chaos. In: International Islamic University Malaysia Congress on Science 2013
2013 Random binomial tree models. In: IIUM Research, Invention and Innovation Exhibition 2013
2013 Potts model with next-nearest-neighbor ternary interactions on an arbitrary-order Cayley tree. In: IIUM Research, Invention and Innovation Exhibition 2013
2013 Which blood group will dominate in Malaysia in the future. In: IIUM Research, Invention and Innovation Exhibition (IRIIE) 2013
2013 Gibbs Measures of the Blume-Emery-Griffiths-Vannimenus Model on the Cayley Tree. In: International Seminar on Mathematics and Natural Sciences
2012 Potts model with the competing interactions on a Cayley tree-like lattice: Quadrangle Chandelier. In: Malaysia Science and Technology Congress (MSTC 2012)
2012 The Miracle in the Iron and the Ising Model of the Ferromagnet. In: IIUM Research, Invention and Innovation Exhibition 2012 (IRIIE 2012)
2012 Multidimensional mappings and Lyapunov Exponent of Potts Model with competing interaction. In: IIUM Research, Invention and Innovation Exhibition 2012 (IRIIE 2012)
2012 Strange attractors in the Vannimenus Model on an arbitrary order Cayley Tree . In: 4th International Conference on Advancement in Science and
2012 On Non-Ergodic Transformations on S3. In: 4th International Conference on Advancement in Science and Technology
2012 Random binomial tree models and put options. In: 2nd International Conference on Mathematical Applications in Engineering (ICMAE2012)
2012 On paramagnetic phases of Potts Model on a Bethe Lattice in the presence of competing interactions. In: International Conference of Application Science & Technology (iCAST2012)
2012 Two Potts Models on Cayley Tree of Arbitrary Order. In: International Conference of Application Science & Technology (iCAST2012)
2012 Phase transitions in the Blume-Emery-Griffiths model on Cayley tree. In: 2nd International Conference on Mathematical Applications in Engineering (ICMAE2012)
2012 Non-ergodic quadratic stochastic operators on S3. In: Operator Algebras and Related Topics
2012 Stochastic models in theory of heredity. In: Second Annual International Conference on Operations Research and Statistics ORS 2012
2012 Phase transitions in the Blume-Emery-Griffiths-Vannimenus model on the Cayley Tree. In: International Conference on Mathematical Modeling in Physical Sciences
2011 Periodic extreme Gibbs measures with memory length 2 of Vannimenus model. In: ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics
2011 Thermodynamics in models of heredity . In: the Six Fergana Conference “Limit Theorems of the Theory of Probability and its applications
2011 Limit behavior of dynamic systems corresponding to Lattice models with competing prolonged and one-level binary interactions. In: IIUM Research, Invention and Innovation Exhibition (IRIIE) 2011
2011 On some nonlinear dynamic systems arising in statistical mechanics. In: IIUM Research, Invention and Innovation Exhibition IRIIE 2011
2011 Lattice gas and thermodynamics in models of heredity. In: International Conference on Mathematical and Computational Biology 2011 (ICMCB 2011)
2011 Extreme Gibbs measures of the Vannimenus model. In: Weekly Research Meeting National University Uzbekistan
2011 Phase transition in Ferromagnetic Lattice models on a Cayley tree with non-uniform external magnetic fields. In: Annual International Conference on Operations Research and Statistics (ORS 2011)
2011 Lattice models of statistical mechanics and their applications. In: Annual International Conference on Operations Research and Statistics (ORS 2011)
2011 Ising model on a general Cayley tree with competing next-nearest-neighbour interactions. In: Annual International Conference on Operations Research and Statistics
2011 Multidimensional mapping for Potts model with competing interactions. In: Annual Conference on Operations Research and Statistics (ORS 2011)
2011 Potts model with competing interactions on a Cayley tree of k-th order. In: Annual International Conference on Operations Research and Statistics (ORS 2011)
2011 The miracle in the Iron and the Ising model of the Ferromagnet on regular lattice Z^2 . In: International Conference on Islamisation in Modern Science and Scientification of the Islamic Studies(ICIMSIS 2011)
2010 On non-associativity of Rhesus factor transmission. In: 3rd International Interdisciplinary Chaos Symposium on Chaos and Complex Systems
2010 Strange attractor in the Potts model on a Cayley tree in the presence of competing interactions. In: 3rd International Interdisciplinary Chaos Symposium on Chaos and Complex Systems
2010 Phase diagrams of a Potts Model with competing binary and ternary interactions. In: ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010
2010 Modulated phase of a Potts model with competing interactions on a Cayley tree. In: IIUM Research, Innovation & Invention Exhibition (IRIIE 2010)
2010 Griffith–Kelly–Sherman correlation inequalities for generalized Potts model . In: IIUM Research, Invention and Innovation Exhibition 2010
2010 Phase diagram of the Ising model next-nearest-neighbour interactions. In: International Conference on Mathematical Applications in Engineering (ICMAE’10)
2010 On pure phases of the Vannimenus model. In: ICMS 2010: International Conference on Mathematical Science
2009 Phase diagram and phase transitions of the Potts model with external magnetic field . In: 5th Asian Mathematical Conference, Malaysia 2009
2009 Linear and nonlinear models of heredity for blood groups and rhesus factor. In: International Conference of Mathematical Sciences
2009 Phase diagram of the Potts Model with competing interactions. In: Frontiers In Physics: 3rd International Meeting
2009 On nonlinear dynamic system arising in Potts model. In: Second International Conference and Workshops on Basic and Applied Sciences Regional Annual Fundamental Science Seminar 2009
2009 On linearization of quadratic stochastic operators . In: Proceedings of the 4th International Conference on Research and Education in Mathematics
2009 On some dynamic systems arising in lattice models with competing ternary interactions. In: Proceedings of Modern Problems of Applied Mathematics and Information Technologies-Al Khowrezmi 2009
2009 On nonlinear dynamic systems arising in Lattice models of statistical mechanics on a Cayley tree. In: Control and Optimization of Dynamical Systems-CODS-2009
2008 Application of nonlinear transformation in medicine. In: International Conference on Advancement in Science and Technology (ICAST,2008)

Book

2016 Introduction to lattice statistical mechanics. IIUM Press . ISBN 978-967-418-427-8
2015 Quantum Quadratic operators and processes. Springer . ISBN 978-3-319-22836-5, 978-3-319-22837-2 (eBook)
2011 Lattice models with competing interactions. IIUM Press . ISBN 9789674180065
2011 Investigations on Pure Mathematics, Finance Mathematics and Optics . IIUM Press . ISBN 9789674181987
2011 Analytic Geometry. Kuala Lumpur . ISBN 978-967-418-007-2

Book Section

2017 Quadratic stochastic operators of bisexual populations and its contractibility. In: Frontiers in science and technology IIUM Press, International Islamic University Malaysia . ISBN 9789674184469 , pp.238-256
2011 Phase diagram of the Ising model with nearest-neighbor interactions. In: Recent achievements in dynamical systems: proceedings of Department of Computational and Theoretical Sciences, Faculty of Science, IIUM IIUM Press . ISBN 9789674182014 , pp.98-106
2011 A renormalization-group study of the Potts model with competing ternary and binary interactions. In: Nonlinear and Complex Dynamics: Applications in Physical, Biological, and Financial Systems Springer . ISBN 98-1-4614-0230-5 (P), 978-1-4614-0231-2 (O) , pp.117-125
2011 On nonlinear dynamic system arising in Potts model. In: Recent achievements in dynamical systems: proceedings of Department of Computational and Theoretical Sciences, Faculty of Science, IIUM IIUM Press . ISBN 9789674182014 , pp.167-176
2011 On potts model with triple interactions. In: Recent achievements in dynamical systems: proceedings of Department of Computational and Theoretical Sciences, Faculty of Science, IIUM IIUM Press . ISBN 9789674182014 , pp.146-151
2011 Phase diagram of the potts model with external magnetic field. In: Recent achievements in dynamical systems: proceedings of Department of Computational and Theoretical Sciences, Faculty of Science, IIUM IIUM Press . ISBN 9789674182014 , pp.152-159
2011 A correlation inequality for Potts model. In: Recent achievements in dynamical systems: proceedings of Department of Computational and Theoretical Sciences, Faculty of Science, IIUM IIUM Press . ISBN 9789674182014 , pp.160-166
2011 Theory of Markov chains in pediatric diseases . In: Investigations on Pure Mathematics, Finance Mathematics and Optics IIUM Press . ISBN 9789674181987 , pp.8-13
2011 On nonlinear dynamic systems arising in Potts model . In: Investigations on Pure Mathematics, Finance Mathematics and Optics IIUM Press . ISBN 9789674181987 , pp.14-21
2011 The first return time and dimension . In: Investigations on Pure Mathematics, Finance Mathematics and Optics IIUM Press . ISBN 9789674181987 , pp.22-30
2011 On as sociative algebraic structure of genetic inheritance . In: Investigations on Pure Mathematics, Finance Mathematics and Optics IIUM Press . ISBN 9789674181987 , pp.31-36
2011 Interacting particle system . In: Investigations on Pure Mathematics, Finance Mathematics and Optics IIUM Press . ISBN 9789674181987 , pp.37-42
2011 On the elementary charactefization of primes in primality tests: two short studies . In: Investigations on Pure Mathematics, Finance Mathematics and Optics IIUM Press . ISBN 9789674181987 , pp.57-63
2011 On associative algebraic structure of genetic inheritance . In: Investigations on Pure Mathematics, Finance Mathematics and Optics IIUM Press . ISBN 9789674181987 , pp.64-69
2011 Ising model on a general Cayley tree with competing next-nearest-neighbor interactions. In: Recent achievements in dynamical systems: proceedings of Department of Computational and Theoretical Sciences, Faculty of Science, IIUM IIUM Press . ISBN 9789674182014 , pp.107-117
2011 Some application of ergodic theory in number theory . In: Investigations on Pure Mathematics, Finance Mathematics and Optics IIUM Press . ISBN 9789674181987 , pp.70-75
2011 Study of roles of external magnetic field on Ising and Potts model. In: Investigations on Pure Mathematics, Finance Mathematics and Optics IIUM Press . ISBN 9789674181987 , pp.76-81
2011 Markov chains and its application: the inventory model. In: Investigations on Pure Mathematics, Finance Mathematics and Optics IIUM Press . ISBN 9789674181987 , pp.90-95
2011 Limit behavior of dynamic systems corresponding to lattice models with competing prolonged and one-level binary interaction. In: Investigations on Pure Mathematics, Finance Mathematics and Optics IIUM Press . ISBN 9789674181987 , pp.101-108
2011 Associative algebra in genetic inheritance . In: Investigations on Pure Mathematics, Finance Mathematics and Optics IIUM Press . ISBN 9789674181987 , pp.109-114
2011 On nonlinear dynamic system arising in Potts model. In: Recent achievements in dynamical systems. Faculty of Science, Faculty of Biosciences and Faculty of Bioengineering UTM Skudai, with Faculty of Science and Technology, Universitas Airlangga, Indonesia . ISBN 978-983-418-201-4 , pp.167-176
2011 Phase transition in ferromagnetic lattice models on a Cayley tree with non-uniform external magnetic fields . In: Proceedings of the Annual International Conference on Operations Research and Statistics (ORS 2011) Operations Research and Statistics 2011 & GST . ISBN 9789810884079 (pbk.) , pp.106-110
2011 Potts model with competing interactions on a Cayley tree of k-th order. In: Proceedings of the Annual International Conference on Operations Research and Statistics (ORS 2011) Operations Research and Statistics 2011 & GST . ISBN 9789810884079 (pbk.) , pp.122-127
2011 On linearization of quadratic stochastic operators. In: Recent achievements in dynamical systems: proceedings of Department of Computational and Theoretical Sciences, Faculty of Science, IIUM IIUM Press . ISBN 9789674182014 , pp.40-46
2011 Continual family of ergodic non-homogeneous Markov chains. In: Recent achievements in dynamical systems: proceedings of Department of Computational and Theoretical Sciences, Faculty of Science, IIUM IIUM Press . ISBN 9789674182014 , pp.47-52
2010 Phase diagram of the Ising model with next-nearest-neighbour interactions. In: Proceedings of International Conference on Mathematical Applications in Engineering Faculty of Engineering, International Islamic University Malaysia (IIUM) . ISBN 9789834309046 , pp.355-359