On the structure of Mandelbrot's percolation process and other random cantor sets |
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| Authors: | F M Dekking R W J Meester |
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| Institution: | (1) Delft University of Technology, The Netherlands |
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| Abstract: | We consider generalizations of Mandelbrot's percolation process. For the process which we call the random Sierpinski carpet, we show that it passes through several different phases as its parameter increases from zero to one. The final section treats the percolation phase. |
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| Keywords: | Percolation process random fractal set random substitution Hausdorff dimension |
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