On the length of the shortest crossing in the super-critical phase of Mandelbrot's percolation process

L. Chayes

Stochastic Processes and their Applications, 1996, vol. 61, issue 1, 25-43

Abstract: The fractal percolation process, which generates random subsets of the unit square, is investigated in the super-critical (percolating) regime. It is found, with probability one, that all crossing paths in the limiting set are non-rectifiable and in fact have a dimension in excess of unity.

Keywords: Percolation; Fractals; Random; media; Mandelbrot; percolation; Holder; exponents (search for similar items in EconPapers)
Date: 1996
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Citations: View citations in EconPapers (1)

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