Hausdorff Dimension of Random Fractals with Overlaps
نویسنده
چکیده
The term fractal was first introduced by Mandelbrot to denote sets with highly irregular structures. Mandelbrot and others have then used fractals to model various natural phenomena (for example, [19, 2]). A mathematical development of fractals via the theory of (non-random) self-similar sets and measures was given by Hutchinson [12]. A family of contractive maps {Sj}^ on E m is called an iterated function system ([2]). An N iterated function system generates an invariant compact subset K = \J Sj(K), which
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