Almost sure Hausdorff dimension of graphs of random wavelet series

DOI10.1007/s00041-003-0013-1zbMath1030.60027OpenAlexW1985595899MaRDI QIDQ1416659

François Roueff

Publication date: 16 December 2003

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-003-0013-1

zbMATH Keywords

random wavelet seriesHausdorff dimension of graphs

Mathematics Subject Classification ID

Random fields (60G60) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Self-similar stochastic processes (60G18)

Related Items (5)

A Fourier formulation of the Frostman criterion for random graphs and its applications to wavelet series. ⋮ Estimation of parameters of a multifractal process ⋮ The graph and range singularity spectra of \(b\)-adic independent cascade functions ⋮ A useful result related with zeros of continuous compactly supported mother wavelets ⋮ Dimension of the Graphs of the Weierstrass-Type Functions

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