On the multifractal spectrum of the branching measure on a Galton–Watson tree

DOI10.1239/jap/1101840569zbMath1062.60090OpenAlexW2089724647MaRDI QIDQ4660548

Narn-Rueih Shieh, Peter Mörters

Publication date: 4 April 2005

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

Full work available at URL: https://doi.org/10.1239/jap/1101840569

zbMATH Keywords

percolationHausdorff dimensiondimension spectrummultifractal spectrumbranching set

Mathematics Subject Classification ID

Sample path properties (60G17) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (15)

Exact Hausdorff measure on the boundary of a Galton-Watson tree ⋮ Multifractal scenarios for products of geometric Lévy-based stationary models ⋮ Multifractal scaling of products of birth-death processes ⋮ Multifractal analysis of superprocesses with stable branching in dimension one ⋮ Hausdorff and packing spectra, large deviations, and free energy for branching random walks in \({\mathbb{R}^d}\) ⋮ Projections of planar Mandelbrot random measures ⋮ Hölder index at a given point for density states of super-\(\alpha \)-stable motion of index \(1+\beta \) ⋮ Beta-coalescents and continuous stable random trees ⋮ Simultaneous Multifractal Analysis of the Branching and Visibility Measure on a Galton-Watson Tree ⋮ The multifractal spectrum of harmonic measure for forward moving random walks on a Galton-Watson tree ⋮ Multifractality of products of geometric Ornstein-Uhlenbeck-type processes ⋮ Hausdorff dimension of the uniform measure of Galton-Watson trees without the XlogX condition ⋮ Limit theorems for multifractal products of geometric stationary processes ⋮ Multifractal Products of Stationary Diffusion Processes ⋮ RÉNYI FUNCTION FOR MULTIFRACTAL RANDOM FIELDS

Cites Work

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• Random walks and percolation on trees
• Thin and thick points for branching measure on a Galton-Watson tree
• Limsup random fractals
• Multifractal spectra of branching measure on a Galton-Watson tree
• Trees Generated by a Simple Branching Process
• [https://portal.mardi4nfdi.de/wiki/Publication:5618130 La densit� de la loi-limite d'un processus en cascade expansif]

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