Biography
Associate Professor
BSc, MSc (Dhaka); MSc, PhD (Concordia)
Dr. Islam’s main area of research is Ergodic Theory, Dynamical Systems and their applications in Finance and Biology. He investigates the long-term behavior of trajectories of dynamical systems for real-life phenomena arising in the natural sciences. In particular, he is interested in the theory of absolutely continuous invariant measures for random dynamical systems and deterministic dynamical systems. Dr. Islam is also interested in applying theory of dynamical systems in finance and actuarial science. He is an active researcher in his area of research and also an active member of the Atlantic Collaborative Research Group : Fractals, Invariant Measures and Applications.
Recent Publications
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An alternative elementary method for approximation of invariant measures for random maps
- Neural, Parallel, and Scientific Computations, 2018
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Family of random maps which possess infinite absolutely continuous invariant measures
- Dynamic Systems and Applications, 2018
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Hausdorff measures and Hausdorff dimensions of the invariant sets for iterated function systems of geometric fractals
- Mathematics and Statistics, 2018
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A piecewise quadratic galerkin projection method for position dependent random maps
- International Electronic Journal of Pure and Applied Mathematics, 2018
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A piecewise quadratic maximum entropy method for invariant measures of position dependent random maps
- Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, 2017
Research Classification
- No classification given
Research Interests
- Ergodic theory and Dynamical systems
- Random dynamical systems
- Absolutely continuous invariant measures
- Application of dynamical systems
Current Scholars in Mathematical and Computational Sciences
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