Independent random cascades on Galton-Watson trees
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Publication:4490239
DOI10.1090/S0002-9939-00-05279-5zbMath0953.60036MaRDI QIDQ4490239
Gregory A. Burd, Edward C. Waymire
Publication date: 10 July 2000
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Martingales with discrete parameter (60G42) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random measures (60G57) Continuity and singularity of induced measures (60G30)
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Multifractal analysis of infinite products of stationary jump processes ⋮ A class of multifractal processes constructed using an embedded branching process ⋮ On Random Fragmentations Arising From Binary Splitting ⋮ Statistical estimation for multiplicative cascades.
Cites Work
- Sur certaines martingales de Benoit Mandelbrot
- Calculs de dimensions de Hausdorff
- Multiplicative cascades: Dimension spectra and dependence
- Trees Generated by a Simple Branching Process
- Martingale convergence in the branching random walk
- Ergodic theory on Galton—Watson trees: speed of random walk and dimension of harmonic measure
- A cascade decomposition theory with applications to Markov and exchangeable cascades
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