Dimensions of supercritical branching processes in varying environments

DOI10.1016/j.spl.2004.10.004zbMath1067.60088OpenAlexW2026304929MaRDI QIDQ1767743

Jinghu Yu, Narn-Rueih Shieh

Publication date: 8 March 2005

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: http://ntur.lib.ntu.edu.tw/bitstream/246246/183985/1/19.pdf

zbMATH Keywords

Hausdorff dimensionpacking dimensionupper box dimension

Mathematics Subject Classification ID

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

Related Items (1)

Trees with non-regular fractal boundary

Cites Work

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• Iterated function system and Galton-Watson tree
• The supercritical Galton-Watson process in varying environments
• Sur certaines martingales de Benoit Mandelbrot
• The supercritical Galton-Watson process in varying environments -- Seneta-Heyde norming
• A GALTON-WATSON BRANCHING PROCESS IN VARYING ENVIRONMENTS WITH ESSENTIALLY CONSTANT OFFSPRING MEANS AND TWO RATES OF GROWTH1
• Trees Generated by a Simple Branching Process
• Generalized vector multiplicative cascades
• Ergodic theory on Galton—Watson trees: speed of random walk and dimension of harmonic measure
• Local dimensions of the branching measure on a Galton-Watson tree

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