Higher moments for random multiplicative measures

DOI10.4171/JFG/20zbMath1341.60038arXiv1311.0160OpenAlexW2963776431MaRDI QIDQ887518

Kenneth J. Falconer

Publication date: 26 October 2015

Published in: Journal of Fractal Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.0160

zbMATH Keywords

martingalerandom fractalscascades\(L^q\)-convergencehigher momentsrandom multiplicative measures

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Random measures (60G57) Fractals (28A80) (L^p)-limit theorems (60F25)

Cites Work

• Sur certaines martingales de Benoit Mandelbrot
• On generalized multiplicative cascades
• Generalized dimensions of images of measures under Gaussian processes
• Generalized dimensions of measures on almost self-affine sets
• Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier
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