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Universal fluctuations and extreme value statistics | | Kajsa Dahlstedt
; Henrik Jeldtoft Jensen
; | | Date: |
1 Aug 2001 | | Journal: | J Phys A, Vol. 34, 11193 (2001) | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | Abstract: | 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 T. Antal, M. Droz G. Gyorgyi and Z. Racz for logarithmic correlated 1/f signals, that these fluctuations follow the Fisher-Tippett-Gumbel distribution from uncorrelated extreme value statistics. | | Source: | arXiv, cond-mat/0108007 | | Services: | Forum | Review | PDF | Favorites | |
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