A multifractal formalism for non-concave and non-increasing spectra: the leaders profile method

DOI10.1016/j.acha.2015.12.006zbMath1373.42044OpenAlexW2232488166MaRDI QIDQ2399648

Céline Esser, Thomas Kleyntssens, Samuel Nicolay

Publication date: 24 August 2017

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

Full work available at URL: https://orbi.uliege.be/handle/2268/190248

zbMATH Keywords

large deviation methodsmultifractal formalism for functions\(L^\nu\) spacesWavelet leaders

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Lipschitz (Hölder) classes (26A16) Programming in abstract spaces (90C48)

Related Items (10)

Large deviation spectra based on wavelet leaders ⋮ A multifractal formalism for non-concave and non-increasing spectra: the leaders profile method ⋮ A weak local irregularity property in \(S^\nu \) spaces ⋮ A Bridge Between Geometric Measure Theory and Signal Processing: Multifractal Analysis ⋮ Unnamed Item ⋮ An algorithm for computing non-concave multifractal spectra using the \(S^\nu\) spaces ⋮ On wavelet and leader wavelet based large deviation multifractal formalisms for non-uniform Hölder functions ⋮ ABOUT THE MULTIFRACTAL NATURE OF CANTOR’S BIJECTION: BOUNDS FOR THE HÖLDER EXPONENT AT ALMOST EVERY IRRATIONAL POINT ⋮ Different possible behaviors of wavelet leaders of the Brownian motion ⋮ Topology on new sequence spaces defined with wavelet leaders

Uses Software

• Multifractal

Cites Work

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