From solar flare time series to fractional dynamics

@inproceedings{Burnecki2008FromSF,
  title={From solar flare time series to fractional dynamics},
  author={Krzysztof Burnecki and Aleksander Weron and Joseph Klafter and Marcin Magdziarz},
  booktitle={VALUETOOLS},
  year={2008}
}
We demonstrate that continuous-time FARIMA processes with α-stable noise provide a new stochastic tool for studying the solar flare phenomenon in the framework of fractional Langevin equation. Simple computer tests to check the origins of α-stability and self-similarity are implemented for empirical time series describing the energy of solar flares. Based on observed physical time series we solve the challenging problem of how to detect long-range dependence from real data and how to model it… CONTINUE READING

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