The Hausdorff dimension of very weak self-similar fractals described by the Haar wavelet system

DOI10.1016/S0960-0779(98)00294-XzbMath1122.28300MaRDI QIDQ997473

J. Martínez

Publication date: 6 August 2007

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (4)

The dimension of chaotic dynamical system in wavelet space and its application ⋮ A nonlinear discrete transform for pattern recognition of discrete chaotic systems. ⋮ The largest Lyapunov exponent of chaotic dynamical system in scale space and its application ⋮ A new method to estimate the oscillating singularity exponents in locally self-similar functions

Cites Work

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• On the Hausdorff dimension of Rademacher Riesz products
• The theory of weights and the Dirichlet problem for elliptic equations
• Dimension and entropy of a non-ergodic Markovian process and its relation to Rademacher Riesz products
• On the distribution of digits in dyadic expansions
• On Weyl's criterion for uniform distribution
• Ten Lectures on Wavelets
• Tameness for the distribution of sums of Markov random variables

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