A general decomposition theory for random cascades

DOI10.1090/S0273-0979-1994-00521-XzbMath0805.60045arXivmath/9410222MaRDI QIDQ4310801

Stanley C. Williams, Edward C. Waymire

Publication date: 29 January 1995

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9410222

zbMATH Keywords

Hausdorff dimensionrandom measurecascade decompositionsKahane's \(T\)-martingale decomposition

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Geometric probability and stochastic geometry (60D05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Random measures (60G57) Continuity and singularity of induced measures (60G30) Exchangeability for stochastic processes (60G09)

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Seneta-Heyde norming in the branching random walk ⋮ On rational structures and their asymptotics ⋮ A cascade decomposition theory with applications to Markov and exchangeable cascades ⋮ LARGE DEVIATIONS OF MULTIFRACTAL MEASURES ⋮ A probabilistic analysis of some tree algorithms ⋮ Transfinite multifractal dimension spectrums ⋮ A Spine Approach to Branching Diffusions with Applications to L p -Convergence of Martingales

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