Results 161 to 170 of about 29,188 (209)

Exploring Word-Adjacency Networks with Multifractal Time Series Analysis Techniques. [PDF]

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Multifractional correlation

Optics Letters, 2001
Multifractional correlation is proposed that is based on a new generalized fractional Fourier transform to which we refer as a multifractional Fourier transform. The multifractional correlation yields remarkable improvements in the correlation output peak intensity, peak sharpness, and light efficiency compared with convention correlation, which uses ...
B, Zhu, S, Liu
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Multiscaling in multifractals

Physical Review Letters, 1991
Multiscaling is shown to be a consequence of multifractality when a lower cutoff ∈ is introduced in calculations of correlation functions. After a suitable rescaling, the correlation function data for different values of ∈ seem to fall onto a single curve.
, Jensen, , Paladin, , Vulpiani
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Consistent scaling of multifractal measures: Multifractal spatial correlations

Physical Review E, 1993
There are a number of apparently disparate problems in multifractal scaling whose solutions have remained unclear, ranging from rather pathological cases where the standard Legendre transformations do not produce effective measures for the H\"older exponent and Hausdorff-Besicovitch dimension to the problem of describing the scaling of point-point ...
, Platt, , Family
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Multifractal zone plates

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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Wavelet Transform of Multifractals

Physical Review Letters, 1988
no ...
Arneodo, A.   +2 more
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Multifractal spectra and multifractal rigidity for horseshoes

Journal of Dynamical and Control Systems, 1997
zbMATH 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, 2005
Given 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, 2014
We 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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MULTIFRACTALITY OF SNOWFLAKES

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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