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Journal of the Optical Society of America A, 2010
We present multifractal zone plates (MFZPs) as what is to our knowledge a new family of diffractive lenses whose structure is based on the combination of fractal zone plates (FZPs) of different orders. The typical result is a composite of two FZPs with the central one having a first-order focal length f surrounded by outer zones with a third-order ...
Fernando, Giménez +3 more
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We present multifractal zone plates (MFZPs) as what is to our knowledge a new family of diffractive lenses whose structure is based on the combination of fractal zone plates (FZPs) of different orders. The typical result is a composite of two FZPs with the central one having a first-order focal length f surrounded by outer zones with a third-order ...
Fernando, Giménez +3 more
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Wavelet Transform of Multifractals
Physical Review Letters, 1988no ...
Arneodo, A. +2 more
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Multifractal spectra and multifractal rigidity for horseshoes
Journal of Dynamical and Control Systems, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barreira, L., Pesin, Ya., Schmeling, J.
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From Multifractal Measures to Multifractal Wavelet Series
Journal of Fourier Analysis and Applications, 2005Given a positive locally finite Borel measure µ on R, a natural way to construct multifractal wavelet series $F_{\mu}=\sum_{j\ge0,k\in Z}d_{j,k}\psi_{j,k}(x)$ is to set $\mid d_{j,k}\mid ...
Julien Barral, Stéphane Seuret
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Multifractal intensity in dynamical behaviors of multifractals
Journal of the Korean Physical Society, 2014We study the dynamical behavior of multifractals in typhoons. A significant and fascinating feature of this behavior is that it provides a proper interpretation for the pattern of a typhoon in terms of the numerical values of its generalized dimension and scaling exponent.
Seong Kyu Seo +5 more
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Fractals, 1996
The results of the extensive numerical simulations of the Dielectric Breakdown Model (DBM) with noise reduction on the hexagonal lattice are presented. Seventy-five clusters grown under different boundary conditions consisting of 16 000 particles on the lattice 1001×1001 were generated.
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The results of the extensive numerical simulations of the Dielectric Breakdown Model (DBM) with noise reduction on the hexagonal lattice are presented. Seventy-five clusters grown under different boundary conditions consisting of 16 000 particles on the lattice 1001×1001 were generated.
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Conformal Spiral Multifractals
Annales Henri Poincaré, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Multifractional Stochastic Fields
2013Fractional Brownian Motion (FBM) is a very classical continuous self-similar Gaussian field with stationary increments. In 1940, some works of Kolmogorov on turbulence led him to introduce this quite natural extension of Brownian Motion, which, in contrast with the latter, has correlated increments. However, the denomination FBM is due to a very famous
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