The Hausdorff dimension of a class of random self-similar fractal trees

DOI10.1239/aap/1189518635zbMath1127.60012arXiv1210.5862OpenAlexW2046123494MaRDI QIDQ5426466

David A. Croydon

Publication date: 12 November 2007

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.5862

zbMATH Keywords

random treemultiplicative cascadeself-similar structures

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Fractals (28A80) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

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Cites Work

• The construction of Brownian motion on the Sierpinski carpet
• Brownian motion on a random recursive Sierpinski gasket
• Limit theorems for Mandelbrot's multiplicative cascades.
• Harmonic calculus on limits of networks and its application to dendrites
• Self-similarity and spectral asymptotics for the continuum random tree
• Random Recursive Constructions: Asymptotic Geometric and Topological Properties
• The transitive closure of a random digraph
• Random fractals
• Cut-Set Sums and Tree Processes
• Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier
• Thick and thin points for random recursive fractals
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