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Invariant Measures for Iterated Function Systems of Generalized Cantor Sets
ISSN: 2195-1381
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Invariant Measures for Iterated Function Systems of Generalized Cantor Sets
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Abstract
In this paper, we formulate Iterated Function Systems of Generalized Cantor Sets (IFSGCS) and also show that their invariant measures using Markov operator and Barnsley-Hutchinson multifunction. Keywords: Cantor set, Borel set, Fractal, Markov operator, Iterated function system, Invariant measure.
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International Category Code (ICC):
ICC-0202
Md. Islam, Md. Islam
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References
[1] Devaney R. L. (1992). A First Course in Chaotic Dynamical Systems.(Boston University, Addison-Wesley, West Views Press).
[2] Addison P. S. (1997). Fractals and Chaos.(Institute of Physics, Bristol).
[3] J. Islam, S. Islam, Generalized cantor sets and its fractal dimension, Bangladesh Journal of Science and Industrial Research,vol. 46, no. 4, pp.499-506, 2011.
[4] J. Myjak, T. Szarek, Attractors of iterated function systems and Markov operators, Abstract and Applied Analysis, vol. 8, pp. 479-502, 2003.
[5] Barnsley M. F. (1993).Fractals Everywhere. (Massachusetts).
[6] J. E. Hutchinson, Fractals and self-similarity, Indiana University Mathematics Journal, vol. 30, no. 5, pp.713-747, 1981.
[7] Royden H. L. (1988). Real Analysis. (New Jersey, U.S.A).
[8] S. K. Liu, Z. T. Fu, S. D. Liu, K. Ren, Scaling equation for invariant measure, Commun. Theor. Phys., vol. 39, no. 3, pp. 295-296, 2003.
[9] T. Komorowski, J. Tyrcha, Asymptotic properties of some Markov operators, Bulletin of the Polish
Academy of Sciences Mathematics, vol. 37, no. 16, pp. 221-228, 1989.
[10] Lasota A., Mackey M. C. (1994). Chaos, Fractals and Noise, Stochastic Aspects of Dynamics, Applied
Mathematical Sciences. (Springer-Verlag, New York).
