# Shafiqul Islam

## Description

## Details

Name | Shafiqul Islam |

Position | Faculty Member |

sislam@upei.ca | |

Department(s) | Mathematics and Statistics |

Phone | (902) 566-6499 |

Building | Cass Science Hall 415 |

Website | http://www.upei.ca/science/shafiqul-islam |

### Shafiqul Islam

BiographyAssociate Professor

PhD in Mathematics, Concordia (2005); MSc in Mathematics, Concordia (2000); MSc in Pure Mathematics, Dhaka, Bangladesh (1990); BSc Mathematics, Dhaka (1989)

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 Citations

- Stochastic perturbations and invariant measures of position dependent random maps via Fourier approximations
- A Lasota - Yorke type inequality for position dependent random maps of one dimensional piecewise expanding C1,1 transformations
- Invariant measures for random maps via interpolation
- Random dynamical systems in finance
- Normal deviation and Poisson approximation of a security market by the geometric Markov renewal processes

#### Research Interests

- Dynamical systems
- Ergodic theory
- Application of dynamical systems in finance and mathematical biology
- Random dynamical systems