Exact Hausdorff measure on the boundary of a Galton-Watson tree

DOI10.1214/009117906000000629zbMath1127.60083arXiv0707.4358OpenAlexW1978683439MaRDI QIDQ2370095

Toshiro Watanabe

Publication date: 22 June 2007

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.4358

zbMATH Keywords

branching measureboundary\(b\)-decomposable distributiondominated variationexact Hausdorff mesureshift-self-simular additive random sequence

Mathematics Subject Classification ID

Self-similar stochastic processes (60G18) Fractals (28A80) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Hausdorff and packing measures (28A78)

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Escape rates for multidimensional shift self-similar additive sequences, Dimensions of random statistically self-affine Sierpinski sponges in \(\mathbb{R}^k\), Hausdorff and packing spectra, large deviations, and free energy for branching random walks in \({\mathbb{R}^d}\), Projections of planar Mandelbrot random measures, Asymptotic properties of Fourier transforms of \(b\)-decomposable distributions, Hausdorff dimension of the uniform measure of Galton-Watson trees without the XlogX condition, Exact Hausdorff and packing measures for random self-similar code-trees with necks

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