\(p\)-exponent and \(p\)-leaders. I: Negative pointwise regularity

DOI10.1016/j.physa.2015.12.061zbMath1400.42043arXiv1507.05113OpenAlexW2214792530MaRDI QIDQ1619239

Stéphane Jaffard, Herwig Wendt, Stéphane G. Roux, María E. Torres, Patrice Abry, Clothilde Mélot, Roberto Leonarduzzi

Publication date: 13 November 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.05113

zbMATH Keywords

multifractal analysispointwise regularity\(p\)-exponentsingularity classificationnegative regularitywavelet \(p\)-leaders

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) General harmonic expansions, frames (42C15)

Related Items (10)

Multivariate multifractal formalism for simultaneous pointwise (Tuipi)i regularities ⋮ Multivariate multifractal analysis ⋮ Multifractal analysis of sums of random pulses ⋮ New Exponents for Pointwise Singularity Classification ⋮ Generalized 2-microlocal frontier prescription ⋮ Multifractal formalisms for multivariate analysis ⋮ \(T^{[p}\)-formalism in Besov spaces] ⋮ Multifractal Analysis Based on p-Exponents and Lacunarity Exponents ⋮ Directional multifractal analysis in the \(L^p\) setting ⋮ On the Baire generic validity of the \(t\)-multifractal formalism in Besov and Sobolev spaces

Uses Software

• Multifractal

Cites Work

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