Shafiqul Islam
Articles published in refereed Journals:
1.
Islam, M. S.
and Chandler, S. (2015), Approximation by absolutely continuous invariant measures of
iterated function systems with position dependent probabilities Fractals: Complex Geometry, Patterns,
and Scaling in Nature and Society. 23(4).
2.
Islam, M. S. (2015), Piecewise linear least-squares approximations of invariant measures for random
maps: Neural, Parallel, and Scientific Computations. 23
3.
Islam, M. S.(2015). Stochastic perturbations and invariant measures of position dependent random
maps via Fourier approximations. International Journal of bifurcation and chaos. 25(9): 15501-12.
4.
Islam, M. S. (2015), Rychlik's Theorem and invariant measures for random mapsof piecewise
expanding C1 maps satisfying summableoscillation condition: International Journal of Pure and Applied
mathematics. Volume 102 (No 1): 105-116.
5.
Islam, M. S. (2015). Stochastic perturbations and Ulam's method for position dependent random maps
satisfying the stronger Lasota-Yorke inequality: Dynamics of Continuous, Discrete and Impulsive
Systems (accepted)
6.
Islam, M. S.(2014), A Lasota-Yorke type inequality for position dependent random maps of one
dimensional piecewise expanding C1,1 transformations.Dyn. Contin. Discrete Impuls. Syst. Ser. A. 21(1)
7.
Swishchuk, A. and Islam, S. (2013). Random Dynamical Systems in Finance (First Edition), Taylor and Francis (CRC Press)
8.
Islam M. S. (2013), Invariant measures for random maps via interpolations. International Journal of
Bifurcation and Chaos. 23(2)
9.
Swishchuk A. and Islam, M. S.(2013). Normal deviations and Poisson approximation of a security
market by the geometric Markov renewal processes. Communications in Statistics: Theory and
Methods. 42: 1488-1501.
10.
Swishchuk, A. and Islam, M. S. (2011), The Geometric Markov Renewal Processes with Applications to
Finance: Stochastic Analysis and Applications. 29(4): 684-705.
11.
Islam M. S.(2011), Maximum Entropy method for position dependent random maps: International
Journal of Bifurcation and Chaos. 21(6): 1805 - 1811.
12.
Islam M. S. and Gora P.(2011), Invariant measures of Stochastic perturbations of dynamical systems
using Fourier approximations: International Journal of Bifurcations and Chaos. 21(1): 113 -123.
13.
Doosti H., Islam M-S, Chaubey Y. P and Gora P.(2010). Two-dimensional wavelets for nonlinear
autoregressive models with an application in dynamical system. Italian Journal of Pure and Applied
Mathematics. 27: 39-62.
14.
Swishchuk A. and Islam, M. S.(2010). Diffusion approximations of the geometric Markov renewal
processes and option price formulas. International Journal of Stochastic Analysis. 2010(347105)
15.
Islam M. S. and Gora P.(2010). Smoothness of density function for random maps. Dyn. Continuous and
Discrete Impulsive Systems.17(2)
16.
Islam M. S.(2009). Invariant measures for higher dimensional Markov switching position dependent
random maps. International Journal of Bifurcation and Chaos. 19(1): 409-417.
17.
Islam, M. S. (2007), Piecewise linear probability density functions
of invariant measures for position dependent random maps: Global Journal of
Pure and Applied Mathematics, Volume 3,
18.
Islam, M. S., Gora, P. and Boyarsky, A. (2006), Invariant
densities of random maps have lower bounds on their supports: J. Appl. Math. Stoch. Anal. 2006, Art. ID 79175, 13 pp.
19.
Góra, P., Boyarsky, A., Islam, M. S. and Bahsoun, W. (2006), Absolutely continuous invariant
measures that cannot be observed experimentally: SIAM J. Appl. Dyn. Syst. 5, no. 1, 84-90.
20.
Islam,M. S (2006), Absolutely continuous invariant measures of linear interval maps: Int. J. Pure Appl. Math. 27, no. 4, 449 - 464.
21.
Islam, M. S., Gora, P., Boyarsky, A. (2005), Approximation of absolutely continuous invariant measures for Markov switching position dependent random maps.: Int. J. Pure Appl. Math. 25, no. 1, 51-78.
22.
Islam, M. S., Gora, P., Boyarsky, A. (2005) A generalization of Straube's theorem: existence of absolutely continuous invariant measures for random maps: J. Appl. Math. Stoch. Anal., no. 2, 133-141.
23. Boyarsky, A., Góra, P.; Islam, M. S. (2005), Randomly chosen chaotic maps can give rise to nearly ordered behavior: Phys. D 210, no. 3-4, 284-29.