Phase transitions in Mandelbrot's percolation process in three dimensions

Jennifer Chayes, L. Chayes, Eric R. Grannan, Glen Swindle

Type: Article

Publication Date: 1991-09-01

Citations: 18

DOI: https://doi.org/10.1007/bf01193747

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Probability Theory and Related Fields - View - PDF

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+ PDF Chat	Large-$N$ Limit of Crossing Probabilities, Discontinuity, and Asymptotic Behavior of Threshold Values in Mandelbrot's Fractal Percolation Process	2008	Erik I. Broman Federico Camia
+	Modelos de percolação multi escalar	2000	Marina Vachkovskaia
+ PDF Chat	On the connectivity properties of the complementary set in fractal percolation models	2001	Mikhail Menshikov Serguei Popov Marina Vachkovskaia
+	Space–time percolation and detection by mobile nodes	2015	Alexandre Stauffer
+ PDF Chat	Percolation and disordered systems	1997	Geoffrey Grimmett
+	Phase diagram and correlation length bounds for Mandelbrot aerogels	1993	Jennifer Chayes L. Chayes Jonathan Machta
+	On the phase transition to sheet percolation in random Cantor sets	1996	Mark E. Orzechowski
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Works Cited by This (8)

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+	Lecture notes on particle systems and percolation	1988	Richard Durrett
+	Strict monotonicity for critical points in percolation and ferromagnetic models	1991	Michael Aizenman Geoffrey Grimmett
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+	On the structure of Mandelbrot's percolation process and other random cantor sets	1990	F. M. Dekking Ronald Meester
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+	<i>The Fractal Geometry of Nature</i>	1983	Benoît B. Mandelbrot John Wheeler
+	The large-N limit of the threshold values in Mandelbrot's fractal percolation process	1989	Jennifer Chayes L. Chayes
+	Branching Processes	1972	Krishna B. Athreya Peter Ney