Dynamical integral transform on fractal sets and the computation of entropy

DOI10.1016/0167-2789(93)90112-EzbMath0781.44003OpenAlexW1994953121MaRDI QIDQ1803762

Maria Carla Tesi, Jean-Michel Ghez, Sandro Vaienti, Enzo Orlandini

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1016/0167-2789(93)90112-e

zbMATH Keywords

wavelet transformfractalsnumerical exmplesRenyi entropiesdynamical integral transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractals (28A80) Measures of information, entropy (94A17)

Related Items

Robust to noise and outliers estimator of correlation dimension, Statistical moments of Gaussian kernel correlation sum and weighted least square estimator of correlation dimension and noise level, Fractal wavelet dimensions and localization, Entropy computing via integration over fractal measures

Cites Work

• Unnamed Item
• On the wavelet analysis for multifractal sets
• The infinite number of generalized dimensions of fractals and strange attractors
• The entropy function for characteristic exponents
• Meromorphic structure of the Mellin transforms and short-distance behavior of correlation integrals
• Wavelet transforms and order-two densities of fractals
• The dimension spectrum of some dynamical systems
• Geometric dynamics. Proceedings of the International Symposium, held at the Instituto de Matematica Pura e Aplicada, Rio de Janeiro, Brasil, July-August 1981
• Generalized dimensions, entropies, and Lyapunov exponents from the pressure function for strange sets.
• Scaling laws for invariant measures on hyperbolic and nonhyperbolic attractors.
• Integrated wavelets on fractal sets. I. The correlation dimension
• Integrated wavelets on fractal sets. II. The generalized dimensions
• Ergodic theory of chaos and strange attractors