Poissonian products of random weights: uniform convergence and related measures

DOI10.4171/RMI/371zbMath1056.60032MaRDI QIDQ1884105

Julien Barral

Publication date: 25 October 2004

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/39594

zbMATH Keywords

Hausdorff dimensionPoisson point processesrandom measuresBanach space valued martingales

Mathematics Subject Classification ID

Martingales with continuous parameter (60G44) Random measures (60G57) Self-similar stochastic processes (60G18) Fractals (28A80) Spaces of measures, convergence of measures (28A33) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items

Densities of some Poisson \(\mathbf T\)-martingales and random covering numbers, Covering numbers of different points in Dvoretzky covering, Multifractal analysis of infinite products of stationary jump processes, Spatially independent martingales, intersections, and applications, Convergence of complex multiplicative cascades

Cites Work

• Uniform convergence of martingales in the branching random walk
• Differentiability of multiplicative processes related to branching random walks
• How many intervals cover a point in Dvoretzky covering?
• Multifractal products of cylindrical pulses
• Equivalence et orthogonalité des mesures aléatoires engendrées par martingales positives homogènes
• Generalized vector multiplicative cascades
• Continuity of the multifractal spectrum of a random statistically self-similar measure
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