The Lebesgue measure of the algebraic difference of two random Cantor sets

DOI10.1016/S0019-3577(09)80007-4zbMath1182.28013OpenAlexW1970155913MaRDI QIDQ1042758

Károly Simon, Péter Móra, B. M. Solomyak

Publication date: 7 December 2009

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(09)80007-4

zbMATH Keywords

random fractalsPalis conjecturebranching processes with random environmentdifference of Cantor sets

Mathematics Subject Classification ID

Applications of branching processes (60J85) Fractals (28A80) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items

Projections of planar Mandelbrot random measures, Sums of two homogeneous Cantor sets, Dimension of the intersection of certain Cantor sets in the plane

Cites Work

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• Superbranching processes and projections of random Cantor sets
• Random Recursive Constructions: Asymptotic Geometric and Topological Properties
• Random fractals
• On the size of the algebraic difference of two random Cantor sets
• On Branching Processes with Random Environments: I: Extinction Probabilities
• Stable intersections of regular Cantor sets with large Hausdorff dimensions