Phase transitions in Mandelbrot's percolation process in three dimensions

DOI10.1007/BF01193747zbMath0734.60100OpenAlexW2038873820MaRDI QIDQ811032

G. H. Swindle, Jennifer T. Chayes, E. R. Grannan, Lincoln Chayes

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1007/bf01193747

zbMATH Keywords

phase structureMandelbrot percolationexistence of three distinct phase transitionsrandom fractal sets

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

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Cites Work

• On the structure of Mandelbrot's percolation process and other random Cantor sets
• Connectivity properties of Mandelbrot's percolation process
• Superbranching processes and projections of random Cantor sets
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