Random cascades on wavelet dyadic trees
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Publication:4701641
DOI10.1063/1.532489zbMath0931.28008OpenAlexW2053655083MaRDI QIDQ4701641
Alain Arneodo, Emmanuel Bacry, Jean-François Muzy
Publication date: 21 November 1999
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.532489
dyadic treeorthogonal wavelet transformrandom fractal functionscascading processwavelet-based multifractal formalism
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fractals (28A80)
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Cites Work
- Some characterizations of strange sets
- Sur certaines martingales de Benoit Mandelbrot
- Singularity spectrum of fractal signals from wavelet analysis: Exact results
- Oscillating singularities on Cantor sets: A grand-canonical multifractal formalism
- Log-similarity for turbulent flows?
- The dimension spectrum of some dynamical systems
- Scaling exponents and multifractal dimensions for independent random cascades
- Scaling laws for invariant measures on hyperbolic and nonhyperbolic attractors.
- A random process for the construction of multiaffine fields
- Velocity probability density functions of high Reynolds number turbulence
- Fractal measures and their singularities: The characterization of strange sets
- Multifractal Cascade Dynamics and Turbulent Intermittency
- Some specific features of atmospheric tubulence
- A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number
- Singularity detection and processing with wavelets
- Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier
- Scaling structure and thermodynamics of strange sets
- THE MULTIFRACTAL FORMALISM REVISITED WITH WAVELETS
- The multifractal nature of turbulent energy dissipation
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