Universal fluctuations and extreme-value statistics

@article{Dahlstedt2001UniversalFA,
  title={Universal fluctuations and extreme-value statistics},
  author={Kajsa Dahlstedt and Henrik Jeldtoft Jensen},
  journal={Journal of Physics A},
  year={2001},
  volume={34},
  pages={11193-11200}
}
We study the effect of long-range algebraic correlations on extreme-value statistics and demonstrate that correlations can produce a limit distribution which is indistinguishable from the ubiquitous Bramwell–Holdsworth–Pinton distribution. We also consider the square-width fluctuations of the avalanche signal. We find, as recently predicted by Antal et al for logarithmic correlated 1/f signals, that these fluctuations follow the Fisher–Tippett–Gumbel distribution from uncorrelated extreme-value… 
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