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Title: An alternative elementary method for approximation of invariant measures for random maps
Source: Neural, Parallel, and Scientific Computations
Date: 2018
Author: Islam, MD Shafiqul
Genre: Journal Article
Volume: 26
Issue: 1
Start Page: 31

Title: A piecewise quadratic maximum entropy method for invariant measures of position dependent random maps
Source: Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
Date: 2017
Author: Islam, Md Shafiqul
Genre: Journal Article
Volume: 24
Start Page: 431

Title: Family of random maps which possess infinite absolutely continuous invariant measures
Source: Dynamic Systems and Applications
Date: 2018
Author: Islam, Md Shafiqul
Genre: Journal Article
Volume: 27
Issue: 4
Start Page: 729
Publication Status: PUBLISHED

Title: Stochastic perturbations and invariant measures of position dependent random maps via Fourier approximations
Source: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Date: 2015
Author: Islam, Md Shafiqul
Genre: Journal Article
Volume: 25
Issue: 9
Start Page: 1550112
DOI: 10.1142/S0218127415501126

Title: A piecewise quadratic galerkin projection method for position dependent random maps
Source: International Electronic Journal of Pure and Applied Mathematics
Date: 2018
Author: Islam, Md Shafiqul
Genre: Journal Article
Volume: 12
Issue: 1
Start Page: 129

Title: General piecewise spline maximum entropy method for position dependent random maps
Source: Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
Date: 2019
Author: Islam, Md Shafiqul
Genre: Journal Article
Volume: 26
Start Page: 407

Title: Lyapunov exponents of one dimensional chaotic dynamical systems via a general piecewise spline maximum entropy method
Source: Fundamental Journal of Mathematics and Applications
Date: 2019
Author: Islam, Md Shafiqul
Genre: Journal Article
Volume: 2
Issue: 2
Start Page: 130

Title: Invariant measures for higher dimensional Markov switching position dependent random maps
Source: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Date: 2009
Author: Islam, MD Shafiqul
Genre: Journal Article
Abstract: A higher dimensional Markov switching position dependent random map is a random map where the probabilities of switching from one higher dimension...
Volume: 19
Issue: 1
Start Page: 409
DOI: 10.1142/s021812740902297x

Title: Invariant measures for random maps via interpolation
Source: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Date: 2013
Author: Islam, MD Shafiqul
Genre: Journal Article
Abstract: Let T = {τ1, τ2, ..., τK; p1, p2, ..., pK} be a position dependent random map on [0, 1], where {τ1, τ2, ..., τK} is a collection of nonsingular...
Volume: 23
Issue: 2
Start Page: 1
DOI: 10.1142/S0218127413500259

Title: Monte Carlo and Quasi Monte Carlo approach to Ulam's method for position dependent random maps
Source: Communications in Advanced Mathematical Sciences
Date: 2020
Author: Islam, Md Shafiqul
Genre: Journal Article
Abstract: We consider position random maps T = {τ1(x), τ2(x),..., τK(x); p1(x), p2(x),..., pK(x)} on I = [0,1], where τk , k = 1,2,...,K is non-singular map...
Volume: 3
Issue: 4
Start Page: 173
DOI: 10.33434/cams.725619

Title: Piecewise convex deterministic dynamical systems and weakly convex random dynamical systems and their invariant measures
Source: International Journal of Applied and Computational Mathematics
Date: 2021
Author: Islam, Md Shafiqul
Genre: Journal Article
Abstract: Absolutely continuous invariant measures of deterministic dynamical systems and random dynamical systems respectively are studied via a general...
Volume: 7
Issue: 2
DOI: 10.1007/s40819-021-00996-6

Title: Approximation by absolutely continuous invariant measures of iterated function systems with place-dependent probabilities
Source: Fractals
Date: 2015
Author: Islam, MD Shafiqul; Chandler, Stephen
Genre: Journal Article
Volume: 23
Issue: 04
Start Page: 1550038
DOI: 10.1142/S0218348X15500383

Title: Normal deviation and Poisson approximation of a security market by the geometric Markov renewal processes
Source: Communications in Statistics
Date: 2013
Author: Swishchuk, Anatoliy; Islam, Md Shafiqul
Genre: Journal Article
Abstract: We consider the geometric Markov renewal processes (GMRP) as a model for a security market. Normal deviations of the geometric Markov renewal...
Volume: 42
Issue: 8
Start Page: 1488
DOI: 10.1080/03610926.2011.588364

Title: Approximating solutions of fredholm integral equations via a general spline maximum entropy method
Source: International Journal of Applied and Computational Mathematics
Date: 2020
Author: Islam, Md Shafiqul; Smith, Adam
Genre: Journal Article
Abstract: In this paper, we describe a general spline maximum entropy method for the approximation of solutions for solving Fredholm integral equations. The...
Volume: 6
Issue: 3
DOI: 10.1007/s40819-020-00820-7

Title: Invariant measures of stochastic perturbations of dynamical systems using Fourier approximations
Source: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Date: 2011
Author: Islam, MD Shafiqul; Pawel, G.
Genre: Journal Article
Volume: 21
Issue: 1
DOI: 10.1142/S0218127411028283

Title: Data analysis and mathematical model: control measures and prediction to prevent COVID-19 outbreak
Source: Arabian Journal of Medical Sciences
Date: 2020
Author: Kamrujjaman, Md; Jubyrea, J.; Islam, Md Shafiqul
Genre: Journal Article
Abstract: Background. The recent COVID-19 outbreak is now an ongoing global health emergency. The world is dealing with the epidemic with no vaccine or...
Volume: 3
Issue: 2
Start Page: 5
DOI: 10.5455/ajms.33
Publication Status: PUBLISHED