Researchers

Researchers

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Pah Chin Hee
Associate Professor

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Staff Details

  • Natural Science ~ Mathematical Sciences ~ Applied Mathematics ~ Number Theory
  • Natural Science ~ Mathematical Sciences ~ Mathematics and Statistics for ICT and Industries ~ Dynamical Systems
  • Natural Science ~ Physical Sciences ~ Theoretical and Computational Physics ~ Statistical Physics and Thermodynamics
ADVANCED CALCULUS 2008/2009 2009/2010 2010/2011 2011/2012 2012/2013 2013/2014 2014/2015 2015/2016 2016/2017 2017/2018 2018/2019 2019/2020 2020/2021
ADVANCED MATHEMATICAL METHODS 2008/2009 2009/2010 2014/2015
ANALYSIS 2008/2009 2009/2010
FINAL YEAR PROJECT 2009/2010
GENERAL PEDAGOGY 2013/2014
HISTORICAL & PHILOSOPHICAL FOUNDATIONS OF MALAYSIA EDUCATION 2013/2014
MATHEMATICAL ANALYSIS 2009/2010 2010/2011 2013/2014 2014/2015 2015/2016 2016/2017 2019/2020
NUMBER THEORY 2009/2010 2010/2011 2011/2012 2012/2013 2013/2014 2014/2015 2015/2016 2016/2017 2017/2018 2019/2020 2020/2021
Number Theory 2018/2019
THEORY OF PROBABILITY 2013/2014 2016/2017 2018/2019 2019/2020
In Progress
2019 - Present Autonomous Quantum Thermal Machine for Quantum Steering
2017 - Present Lambda Model with Competing Interactions on 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
2014 - Present Applications of Scrambling Nonlinear Operators in Consensus Problems
2014 - Present Spectral Expansions and Application of Mathematical Principles on Electromagnetic Prospecting Method
2013 - Present DYNAMICAL SYSTEMS AND THEIR APPLICATIONS (DSTA)
Completed
2017 - 2019 Lambda Model with Competing Interactions on Cayley Tree
2014 - 2018 Spectral Expansions and Application of Mathematical Principles on Electromagnetic Prospecting Method
2014 - 2017 Applications of Scrambling Nonlinear Operators in Consensus Problems
2014 - 2018 Quadratic Stochastic Operators with Infinite State Space and Their Applications
2014 - 2018 Hedging Performane of Future Contracts: The Case of FTSE BMKLCI Futures and the CPO Futures Contracts in Malaysia
2014 - 2016 Generalized the Zero-Two Law for Positive Contractions of Lp-Spaces
2014 - 2017 Nonorthogonal Unitaries for Two-way Quantum Key Distribution
2013 - 2015 Quartic Equation over P-Adic Field
2013 - 2016 P-Adic Statistical Models and Dynamics of Localized Excitations of Bose-Einstein Condensates
2011 - 2012 Ising Model with Competing Interactions on Cayley Tree of Order 4: An Anlytic Curve
2011 - 2011 KVC PROJECT 2011 - LATTICE MODELS WITH COMPETING INTERACTIONS
2011 - 2012 Ising Model on A General Cayley Tree with Competing Next-nearest-neighbour Interactions
2011 - -1 KVC PROJECT 2011 - LATTICE MODELS WITH COMPETING INTERACTIONS
2011 - 2015 Quantum Quadratic Operators and Quadratic Processes
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 - 2013 Nonlinear Waves in Bose-Einstein Condensates & Optical Waveguide Systems with Higher Order Nonlinearity
2008 - 2011 Quantum Markov Chains, Quantum Quadratic Stochastic Processes
2008 - 2011 Mutually Unbiased Bases for six Dimensional Quantum System
2004 - 2006 The Pirogov-Sinai Theory for Lattice Model Cayley Tree
Article
2020 The portfolio optimization performance during Malaysia’s 2018 General Election by using noncooperative and cooperative game theory approach. Modern Applied Science , 14 (4) pp.1-13
2020 On ground states and phase transition for λ-model with the competing Potts interactions on Cayley trees. Physica A: Statistical Mechanics and its Applications , 549 pp.1-18
2019 On non-ergodic volterra cubic stochastic operators. Qualitative Theory of Dynamical Systems
2018 Ground states and phase transition of the λ model on the Cayley tree. Theoretical and Mathematical Physics , 194 (2) pp.260-273
2017 On connected sub-tree with fixed nodes in Cayley tree of Order 2. Southeast Asian Bulletin of Mathematics , 41 (3) pp.431-456
2016 Dirichlet's theorem related prime gap statistics. Malaysian Journal of Mathematical Sciences , 10 pp.305-310
2015 Combinatorial interpretation of raney numbers and tree enumerations. Open Journal of Discrete Mathematics , 5 (1) pp.1-9
2013 Single polygon counting on Cayley tree of order 4 : generalized Catalan numbers. Middle-East Journal of Scientific Research , 13 pp.1-5
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 On quadratic stochastic processes and related differential equations. Journal of Physics: Conference Series , 435 pp.012013
2013 Ising model with competing interactions on Cayley tree of Order 4: an analytic solution. Journal of Physics: Conference Series , 435 pp.012032
2010 Single Polygon Counting on Cayley Tree of Order 3. Journal of Statistical Physics , 140 (1) pp.198-207
2008 An application of Catalan Numbers on Cayley tree of order 2: Single Polygon Counting. Bulletin of the Malaysian Mathematical Sciences Society , 31 (2) pp.175-183
2008 Application of Catalan Number on Cayley tree: of order 2: single Polygon Counting. Bulletin of the Malaysian Mathematical Sciences Society , 31 (2) pp.175-183
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
2006 Phase diagrams of multicomponent lattice models. Theoretical and Mathematical Physics , 149 (2) pp.1512-1518
2004 The effect of finite bandwidth squeezed light on entanglement creation in the Dicke model. Journal of Optics B: Quantum and Semiclassical Optics , 6 (7) pp.289-295
2004 An Ising model with three competing interactions on a Cayley tree. Journal of Mathematical Physics , 45 (9) pp.3645-3658
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 Dynamics of potts–bethe mapping of degree four on ℚ5. In: "1st International Conference on Mathematical Sciences and Technology 2018: Innovative Technologies for Mathematics and Mathematics for Technological Innovation, MathTech 2018"
2019 On orthogonality preserving cubic stochastic operator defined on 1-dimensional simplex. In: The International Conference on Mathematical Sciences and Technology 2018
2019 On orthogonality preserving cubic stochastic operator defined on 1-dimensional simplex. In: 1st International Conference on Mathematical Sciences and Technology 2018: Innovative Technologies for Mathematics and Mathematics for Technological Innovation, MathTech 2018
2018 λ-model with competing Potts interactions on Cayley tree of order 2. In: International Conference on Mathematics, Engineering and Industrial Applications (ICoMEIA 2018
2018 Periodic and weakly periodic ground states for the λ-Model on Cayley tree. In: 4th International Conference on Mathematical Applications in Engineering 2017 (ICMAE'17)
2017 The quadriceps muscle of knee joint modelling using Hybrid Particle Swarm Optimization-Neural Network (PSO-NN). In: 37th International Conference on Quantum Probability and Related Topics (QP37) 2016
2017 Orthogonal preserving quadratic stochastic operators: Infinite dimensional case. In: 37th International Conference on Quantum Probability and Related Topics (QP37)
2017 Pitchfork bifurcation of a class of discrete dynamical systems. In: 2nd International Conference And Workshop On Mathematical Analysis 2016 (ICWOMA2016)
2016 On ground states of λ-model on the cayley tree of order two. In: 37th International Conference on Quantum Probability and Related Topics (QP37)
2016 Exact solution for an Ising model on the Cayley tree of order. In: 2015 National Symposium of Mathematical Sciences
2015 Exact solution for an Ising model on the Cayley tree of order 5. In: Simposium Kebangsaan Sains Matematik Ke-23 (SKSM23)
2013 On connected sub-tree of Cayley tree of order 2 with fixed nodes. In: International Conference On Mathematical Sciences And Statistics 2013 (ICMSS2013)
2011 Ising model with competing interactions on Cayley tree of order 4: an analytic solution. In: 10th International Annual Symposium (UMTAS 2011)

Book

2011 Lattice models with competing interactions. IIUM Press . ISBN 9789674180065
2011 Investigations on Pure Mathematics, Finance Mathematics and Optics . IIUM Press . ISBN 9789674181987

Book Section

2011 Ising model with competing interactions on Cayley tree of order four. In: Recent achievements in dynamical systems: proceedings of Department of Computational and Theoretical Sciences, Faculty of Science, IIUM IIUM Press . ISBN 9789674182014 , pp.118-124
2011 Single polygon counting for two fixed nodes on a Cayley tree of order 2. In: Recent achievements in dynamical systems: proceedings of Department of Computational and Theoretical Sciences, Faculty of Science, IIUM IIUM Press . ISBN 9789674182014 , pp.214-218
2011 Dirichlet’s theorem and prime gap statistics. In: Recent achievements in dynamical systems: proceedings of Department of Computational and Theoretical Sciences, Faculty of Science, IIUM IIUM Press . ISBN 9789674182014 , pp.256-260
2011 Geometric Brownian motion and calculation of option premium in black scholes model . In: Investigations on Pure Mathematics, Finance Mathematics and Optics IIUM Press . ISBN 9789674181987 , pp.50-56
2011 Investigation of stability of fixed points of nonlinear discrete dynamical systems . In: Investigations on Pure Mathematics, Finance Mathematics and Optics IIUM Press . ISBN 9789674181987 , pp.82-89
2011 Phase transition for Ising model with two competing interaction on Cayley tree of order . In: Investigations on Pure Mathematics, Finance Mathematics and Optics IIUM Press . ISBN 9789674181987 , pp.96-100