Multifractal surrogate-data generation algorithm that preserves pointwise Hölder regularity structure, with initial applications to turbulence.

@article{Keylock2017MultifractalSG,
  title={Multifractal surrogate-data generation algorithm that preserves pointwise H{\"o}lder regularity structure, with initial applications to turbulence.},
  author={Christopher James Keylock},
  journal={Physical review. E},
  year={2017},
  volume={95 3-1},
  pages={
          032123
        }
}
  • C. Keylock
  • Published 3 January 2017
  • Computer Science
  • Physical review. E
An algorithm is described that can generate random variants of a time series while preserving the probability distribution of original values and the pointwise Hölder regularity. Thus, it preserves the multifractal properties of the data. Our algorithm is similar in principle to well-known algorithms based on the preservation of the Fourier amplitude spectrum and original values of a time series. However, it is underpinned by a dual-tree complex wavelet transform rather than a Fourier transform… 
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References

SHOWING 1-10 OF 59 REFERENCES
Multifractional Brownian Motion : Definition and Preliminary Results
We generalize the definition of the fractional Brownian motion of exponent $H$ to the case where $H$ is no longer a constant, but a function of the time index of the process. This allows us to model
MATH
TLDR
It is still unknown whether there are families of tight knots whose lengths grow faster than linearly with crossing numbers, but the largest power has been reduced to 3/z, and some other physical models of knots as flattened ropes or strips which exhibit similar length versus complexity power laws are surveyed.
APPL
TLDR
A prototype probability package named APPL (A Probability Programming Language) is presented that can be used to manipulate random variables and examples illustrate its use.
Res
In Palfreyman & Tapper (2014) ‘Reshaping the University: The Rise of the Regulated Market in Higher Education’ (Oxford University Press) we have tried to explain how English HE has reached the
44
Kazim Ali’s books include four volumes of poetry, The Far Mosque, The Fortieth Day, Bright Felon: Autobiography and Cities, and Sky Ward; three novels, Quinn’s Passage, The Disappearance of Seth, and
MAG
chüler/innen, Student/innen, Lehrer/innen und Professor/innen aus sieben EU-Ländern nehen an dem internationalen Schulentwicklungsprojekt mit dem Titel „In Europa Demokratie eben“ teil. Beteiligt
Biometrika 81
  • 425
  • 1994
New J
  • Phys. 12, 103046
  • 2010
13
  • 82
  • 1962
Proc
  • Roy. Soc. Lond. Ser. A. 435, 505
  • 1991
...
...