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On the connectivity properties of the complementary set in fractal percolation models

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Publication:5932121
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DOI10.1007/s004400000088zbMath1001.60104MaRDI QIDQ5932121

Marina Vachkovskaia, Serguei Popov, Mikhail V. Menshikov

Publication date: 25 September 2001

Published in: Probability Theory and Related Fields (Search for Journal in Brave)


zbMATH Keywords

critical probabilityfractal percolationstochastic majorizing


Mathematics Subject Classification ID

Random fields (60G60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Fractals (28A80)


Related Items (6)

Nonoptimality of constant radii in high dimensional continuum percolation ⋮ Subcritical regimes in some models of continuum percolation ⋮ Percolation for the stable marriage of Poisson and Lebesgue ⋮ Ellipses percolation ⋮ Multiscale percolation on \(k\)-symmetric mosaic ⋮ Space-time percolation and detection by mobile nodes




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