A Fourier formulation of the Frostman criterion for random graphs and its applications to wavelet series.

DOI10.1016/S1063-5203(03)00002-2zbMath1039.42029OpenAlexW2065302460MaRDI QIDQ1873790

François Roueff, Antoine Ayache

Publication date: 27 May 2003

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1063-5203(03)00002-2

zbMATH Keywords

Hausdorff dimensiongraphswavelet coefficientsrandom wavelet seriesbounded probability densityFrostman criterion

Mathematics Subject Classification ID

Random fields (60G60) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Random graphs (graph-theoretic aspects) (05C80) Self-similar stochastic processes (60G18) Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (3)

Hölder regularity for operator scaling stable random fields ⋮ Operator scaling stable random fields ⋮ Local self-similarity and the Hausdorff dimension

Cites Work

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• Elliptic Gaussian random processes
• Almost sure Hausdorff dimension of graphs of random wavelet series
• Wavelets, generalized white noise and fractional integration: The synthesis of fractional Brownian motion
• Local self-similarity and the Hausdorff dimension
• Hausdorff dimension of the graph of the fractional Brownian sheet
• Dimension results for Gaussian vector fields and index-\(\alpha\) stable fields

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