Shafiqul Islam

Description

Details

NameShafiqul Islam
PositionFaculty Member
Emailsislam@upei.ca
Department(s)Mathematics and Statistics
Phone(902) 566-6499
BuildingCass Science Hall 415
Websitehttp://www.upei.ca/science/shafiqul-islam

Shafiqul Islam

Biography

Associate 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


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Research Interests

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

Other Scholars in Mathematics and Statistics

Citations

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TitleAuthor(s)
Invariant measures for random maps via interpolationIslam, Md Shafiqulm
A Lasota - Yorke type inequality for position dependent random maps of one dimensional piecewise expanding C1,1 transformationsIslam, M. S.
Random dynamical systems in financeSvishchuk, A. V.; Islam, Shafiqul
Maximum entropy method for positive dependent random mapsIslam, Shafiqul
The geometric Markov renewal processes with application to financeSwishchuk, Anatoliy; Islam, Md Shafiqul
Two-dimensional wavelets for nonlinear autoregressive models with an application in dynamical systemDoosti, H.; Islam, M. S; Chaubey, Y. P.; Góra, P.
Smoothness of density function for random mapsIslam, Shafiqul; Góra, Pawel
Normal deviation and Poisson approximation of a security market by the geometric Markov renewal processesSwishchuk, Anatoliy; Islam, Md Shafiqul
Stochastic perturbations and invariant measures of position dependent random maps via Fourier approximations Islam, Md Shafiqul
Piecewise linear probability density functions of invariant measures for position dependent random mapsIslam, M. S.
Statistical design of an experimental problem in harmonicsAggarwaia, Rita; Alam, Jahrul; Islam, Md Shafiqul; Lamoureux, Michael; Paulhus, Marc; Powojowski, Miro; Rasekh, Leila
Absolutely continuous invariant measures of linear interval mapsIslam, Shafiqul
Invariant measures of stochastic perturbations of dynamical systems using Fourier approximations Islam, M. D. S.; Pawel, G.
Diffusion approximations of the geometric Markov renewal processes and option price formulasAnatoliy, S.; Islam, Shafiqul
Invariant densities of random maps have lower bounds on their supportsGora, Pawel; Boyarsky, Abraham; Islam, Shafiqul
Invariant measures for higher dimensional Markov switching position dependent random mapsIslam, M. D. S.
Absolutely continuous invariant measures that cannot be observed experimentallyGora, Pawel; Boyarsky, Abraham; Islam, Shafiqul; Bahsoun, Wael
A generalization of Straube's theoremIslam, Shafiqul; Gora, Pawel; Boyarsky, Abraham
Approximation of absolutely continuous invariant measures for Markov switching position dependent random mapsIslam, Shafiqul; Gora, Pawel; Boyarsky, Abraham
Randomly chosen chaotic maps can give rise to nearly ordered behaviorBoyarsky, Abraham; Gora, Pawel; Islam, Shafiqul

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Metrics

TitleTimes viewedLast viewed
Invariant measures for random maps via interpolation - ir:1033740018:10:12 2016-06-29
Piecewise linear probability density functions of invariant measures for position dependent random maps - ir:71973610:12:57 2016-06-28
Statistical design of an experimental problem in harmonics - ir:68955510:13:39 2016-06-28
Absolutely continuous invariant measures of linear interval maps - ir:ir-batch6-151953715:06:17 2016-06-29
Invariant measures of stochastic perturbations of dynamical systems using Fourier approximations - ir:71869112:44:11 2016-06-29
Diffusion approximations of the geometric Markov renewal processes and option price formulas - ir:69061802:23:11 2016-06-30
A Lasota - Yorke type inequality for position dependent random maps of one dimensional piecewise expanding C1,1 transformations - ir:1260522206:44:47 2016-06-29
Random dynamical systems in finance - ir:1260921508:16:54 2016-06-30
Maximum entropy method for positive dependent random maps - ir:1261513210:09:20 2016-06-28
The geometric Markov renewal processes with application to finance - ir:1261913610:09:23 2016-06-28
Two-dimensional wavelets for nonlinear autoregressive models with an application in dynamical system - ir:1262412410:09:26 2016-06-28
Smoothness of density function for random maps - ir:1262912210:09:29 2016-06-28
Invariant densities of random maps have lower bounds on their supports - ir:ir-batch6-151745415:05:55 2016-06-29
Invariant measures for higher dimensional Markov switching position dependent random maps - ir:71764411:47:25 2016-06-30
Absolutely continuous invariant measures that cannot be observed experimentally - ir:ir-batch6-151658415:05:43 2016-06-29
A generalization of Straube's theorem - ir:ir-batch6-151852215:06:06 2016-06-29
Approximation of absolutely continuous invariant measures for Markov switching position dependent random maps - ir:ir-batch6-152149703:20:27 2016-06-30
Randomly chosen chaotic maps can give rise to nearly ordered behavior - ir:ir-batch6-151552815:05:32 2016-06-29
Normal deviation and Poisson approximation of a security market by the geometric Markov renewal processes - ir:1025741407:13:16 2016-06-30
Stochastic perturbations and invariant measures of position dependent random maps via Fourier approximations - ir:1412317215:26:11 2016-06-30