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Incorporating long-range dependence and fractal features in turbulence spectra. [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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