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

Stochastic perturbations and invariant measures of position dependent random maps via Fourier approximations

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2015

A Lasota - Yorke type inequality for position dependent random maps of one dimensional piecewise expanding C1,1 transformations

Dynamics of Continuous Discrete and Impulsive Systems Series A, 2014

Normal deviation and Poisson approximation of a security market by the geometric Markov renewal processes

Communications in Statistics, 2013

Invariant measures for random maps via interpolation

International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2013

Random dynamical systems in finance

, 2013

Research Classification

  • No classification given

Research Interests

  • Ergodic theory and Dynamical systems
  • Random dynamical systems
  • Absolutely continuous invariant measures
  • Application of dynamical systems
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