Staff Directory
Academic Qualification
- Doctor of Philosophy in Computational & Theoretical Sciences - Doctor of Philosophy, International Islamic University Malaysia
- Masters in Maths - Masters Degree, University of Malaya
- Bachelor in Science in Physcs - Bachelor Degree, University of Malaya
Pah Chin Hee (Assoc. Prof. Dr.)
Associate Professor
IIUM Kuantan Campus
KULLIYYAH OF SCIENCE
pahchinhee@iium.edu.my
5061
Expert Profile
Dr. Pah Chin Hee serves as the Head of Department of Computational and Theoretical Sciences, Faculty of Science, International Islamic University Malaysia (IIUM) since July 2011 to December 2016 He graduated from Malaya University with Bachelor degree in physics and Master degree in Mathematics. Then he continued to pursue PhD under supervision of Prof. Dr. Nasir Ganikhodjaev at International Islamic University Malaysia. His research interest is statistical mechanics and number theory. He published a number of papers in Journal of Statistical Physics, Journal of Mathematical Physics, Theoretical of Mathematical Physics, Letter of Physics, and etcs. He also became reviewer of a few journals.
He was the Physics program coordinator and assisting in setting up the Physics Department's program. Throughout his service in IIUM, he was assigned the task to run the IIUM Mathematics Competition from 2007 to 2016. The event is now a national event approved by Ministry of Education. He was also active in mathematics education by conducting workshop and invited as guest speaker for school teachers.
He was the Physics program coordinator and assisting in setting up the Physics Department's program. Throughout his service in IIUM, he was assigned the task to run the IIUM Mathematics Competition from 2007 to 2016. The event is now a national event approved by Ministry of Education. He was also active in mathematics education by conducting workshop and invited as guest speaker for school teachers.
Area of Specialisation
- Natural Science ~ Mathematical Sciences ~ Mathematics and Statistics for ICT and Industries ~ Dynamical Systems - Advanced Calculus
- Natural Science ~ Mathematical Sciences ~ Applied Mathematics ~ Number Theory - Number Theory
- Natural Science ~ Physical Sciences ~ Theoretical and Computational Physics ~ Statistical Physics and Thermodynamics - Dynamical Systems; Lattice Models of Statistical Mechanics.
Teaching Responsibilities
ADVANCED CALCULUS | 2023/2024 2022/2023 2021/2022 2020/2021 2019/2020 2018/2019 2017/2018 2016/2017 2015/2016 2014/2015 2013/2014 2012/2013 2011/2012 2010/2011 2009/2010 2008/2009 |
ADVANCED MATHEMATICAL METHODS | 2020/2021 2014/2015 2009/2010 2008/2009 |
ANALYSIS | 2009/2010 2008/2009 |
DISCRETE MATHEMATICS | 2023/2024 2022/2023 |
FINAL YEAR PROJECT | 2020/2021 2009/2010 |
FINAL YEAR PROJECT 1 | 2021/2022 2020/2021 |
FINAL YEAR PROJECT II | 2021/2022 |
GENERAL PEDAGOGY | 2013/2014 |
HISTORICAL & PHILOSOPHICAL FOUNDATIONS OF MALAYSIA EDUCATION | 2013/2014 |
INDUSTRIAL TRAINING | 2023/2024 2022/2023 |
MATHEMATICAL ANALYSIS | 2021/2022 2020/2021 2019/2020 2016/2017 2015/2016 2014/2015 2013/2014 2010/2011 2009/2010 |
MATHEMATICAL METHODS | 2020/2021 |
NUMBER THEORY | 2022/2023 2021/2022 2019/2020 2018/2019 2017/2018 2016/2017 2015/2016 2014/2015 2013/2014 2012/2013 2011/2012 2010/2011 2009/2010 |
THEORY OF PROBABILITY | 2023/2024 2020/2021 2019/2020 2018/2019 2016/2017 2013/2014 |
Supervision
Dynamics Of Some Classes Of Lotka-Volterra Stochastic Operators On Low Dimensional Simplex.
Ph.D
Completed
2024
Main Supervisor
|
On Quadratic Stochastic Operators On Infinite Countable State Space Generated By Mixture Distributions.
Ph.D
Completed
2022
Main Supervisor
|
Λ-Model With Potts Competing Interactions On Cayley Tree Of Order Two: Ground States And Phase Transitions.
Ph.D
Completed
2021
Main Supervisor
|
Option-Implied Adjusted Information Using Extended Generalised Leland Option Pricing Models In Asset Allocation Strategies.
Ph.D
Completed
2020
Member Supervisory Committee
|
Option- Implied Distribution In A Portfolio Selection Model: An Empirical Study.
Ph.D
Completed
2019
Member Supervisory Committee
|
P-Adic Gibbs Measures On Cayley Trees And Related P-Adic Dynamical Systems
.
Ph.D
Completed
2019
Main Supervisor
|
On Infinite Dimensional Orthogonal Preserving And Surjective Quadratic Stochastic Operators
.
Ph.D
Completed
2019
Main Supervisor
|
Interaction Of Solitons With External Potentials In The Generalized Nonlinear Schrodinger Equation.
Ph.D
Completed
2018
Co-supervisor
|
Phase Diagram Of Ising Model On Cayley Tree With Competing Interactions Up To Third Nearest-Neighbor Generation.
Ph.D
Completed
2017
Co-supervisor
|
Quadratic Stochastic Operator On Infinite State Space Some Rigorous And Computational Results.
Ph.D
Completed
2016
Co-supervisor
|
Optimal Portfolio Selection Decision Making Before And After Malaysia General Elections Using Game Theory Approach.
Master
Completed
2020
Main Supervisor
|
Dynamics Of Low Dimensional Orthogonality Preserving Cubic Stochastic Operators.
Master
Completed
2019
Main Supervisor
|
On Classification Of 3-D Rock-Paper-Scissor Algebra.
Master
Completed
2019
Co-supervisor
|
Inhomogeneous Ising Model On The Cayley Tree Of 2nd And 3rd Order And Two-Dimensional Integer Lattice.
Master
Completed
2018
Co-supervisor
|
Phase Transitions For Lattice Models On Cayley Trees
.
Master
Completed
2017
Main Supervisor
|
Periodic Cellular Automata : Entropy, Simulations And Applications.
Master
Completed
2016
Co-supervisor
|
Implied Adjusted Volatility Functions: Empirical Evidence Using Australian Index Options.
Master
Completed
2016
Co-supervisor
|
A Study On Marginal Markov Processes And Construction Of Quadratic Stochastic Processes.
Master
Completed
2015
Co-supervisor
|
Ising Model With Competing Interactions On Cayley Tree Of Order Four: An Analytic Solution.
Master
Completed
2013
Main Supervisor
|
Potts Model With Competing Interactions On Kth Order Cayley Tree.
Master
Completed
2013
Co-supervisor
|
Random Binomial Tree Models And Pricing Options.
Master
Completed
2013
Co-supervisor
|
On P-Adic Generalized Logistics And Fractional Dynamical System.
Master
Completed
2012
Co-supervisor
|
Regularity Of Poisson Qso Generated By 2-Partition Of K Points.
Master
In Progress
Co-supervisor
|
Interaction Of Solitons In Discrete Nonlinear Schrodinger Equation With Localized Impurities.
Master
In Progress
Co-supervisor
|
Research Projects
Completed
2017 - 2019 | Lambda Model with Competing Interactions on Cayley Tree |
2017 - 2021 | The chaos implies the phase transition: p-adic dynamical system approaches to the quest for a new class of p-adic Gibbs measures |
2014 - 2017 | Nonorthogonal Unitaries for Two-way Quantum Key Distribution |
2014 - 2016 | Generalized the Zero-Two Law for Positive Contractions of Lp-Spaces |
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 |
2013 - 2016 | P-Adic Statistical Models and Dynamics of Localized Excitations of Bose-Einstein Condensates |
2013 - 2015 | Quartic Equation over P-Adic Field |
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 - 2012 | Ising Model with Competing Interactions on Cayley Tree of Order 4: An Anlytic Curve |
2011 - 2015 | Quantum Quadratic Operators and Quadratic Processes |
2009 - 2012 | Generalization of Catalan Number On Cayley Tree Of Order K |
2009 - 2013 | Nonlinear Waves in Bose-Einstein Condensates & Optical Waveguide Systems with Higher Order Nonlinearity |
2009 - 2012 | On Generalized Gibbs measures of a countable state p-adic Potts Model and Their Properties |
2009 - 2011 | Dynamics of some class of quadratic stochastic operators and its applications |
2008 - 2011 | Mutually Unbiased Bases for six Dimensional Quantum System |
2008 - 2011 | Quantum Markov Chains, Quantum Quadratic Stochastic Processes |
2004 - 2006 | The Pirogov-Sinai Theory for Lattice Model Cayley Tree |
On-Going
2021 - Present | Scattering of Vector Solitons in Coupled Cubic-Quintic Nonlinear Schrodinger Equations With External Potentials. |
2021 - Present | Dynamics of Finite Dimensional Orthogonality Preserving Cubic Stochastic Operators |
2019 - Present | Autonomous Quantum Thermal Machine for Quantum Steering |
2014 - Present | Mathematics on Malaysian Traditional Games |
2013 - Present | DYNAMICAL SYSTEMS AND THEIR APPLICATIONS (DSTA) |
2004 - Present | Quantum Information Research Unit (QIRU) |
Publications
Article
Conference or Workshop Item
2023 | The idempotency in the genetic algebras generated by QSO on infinite state space. In: 6th International Conference on Mathematical Applications in Engineering (ICMAE’22), |
2022 | Bijectivity of a class of Lotka-Volterra operators defined on 2D-simplex. In: Quantum Probability 41 Conference, Al Ain, UAE,, |
2021 | A new Friedman’s model for evolutionary game problem. In: IConTech 2021: International Conference on Technology, |
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: 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, |
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 | 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), |
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, |
2016 | Exact solution for an Ising model on the Cayley tree of order. In: 2015 National Symposium of Mathematical Sciences, |
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), |
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 | Investigations on Pure Mathematics, Finance Mathematics and Optics . IIUM Press, ISBN: 9789674181987 |
2011 | Lattice models with competing interactions. IIUM Press, ISBN: 9789674180065 |
Book Section
2011 | Dirichlet’s theorem and prime gap statistics. In: IIUM Press, ISBN: 9789674182014, pp. 256-260 |
2011 | Geometric Brownian motion and calculation of option premium in black scholes model . In: IIUM Press, ISBN: 9789674181987, pp. 50-56 |
2011 | Investigation of stability of fixed points of nonlinear discrete dynamical systems . In: IIUM Press, ISBN: 9789674181987, pp. 82-89 |
2011 | Ising model with competing interactions on Cayley tree of order four. In: IIUM Press, ISBN: 9789674182014, pp. 118-124 |
2011 | Phase transition for Ising model with two competing interaction on Cayley tree of order . In: IIUM Press, ISBN: 9789674181987, pp. 96-100 |
2011 | Single polygon counting for two fixed nodes on a Cayley tree of order 2. In: IIUM Press, ISBN: 9789674182014, pp. 214-218 |
Monograph
2018 | Hedging performance of futures contracts: The case of FTSE BMKLCI futures and the CPO futures contracts in Malaysia. In: , |