The relationship between extremum statistics and universal fluctuations

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dc.creatorChapman, Sandra
dc.creatorRowlands, George
dc.creatorWatkins, Nicholas
dc.date2000-07-17
dc.date2001-06-01
dc.date.accessioned2026-07-07T02:38:14Z
dc.date.available2026-07-07T02:38:14Z
dc.descriptionThe normalized probability density function (PDF) of global measures of a large class of highly correlated systems has previously been demonstrated to fall on a single non-Gaussian "universal" curve. We derive the functional form of the "global" PDF in terms of the "source" PDF of the individual events in the system. A single parameter distinguishes the global PDF and is related to the exponent of the source PDF. When normalized, the global PDF is shown to be insensitive to this parameter and importantly we obtain the previously demonstrated "universality" from an uncorrelated Gaussian source PDF. The second and third moments of the global PDF are more sensitive, providing a powerful tool to probe the degree of complexity of physical systems.
dc.description6 pages, 1 figure. Paper submitted to PRL, 14th July 2000. Revised version re-submitted to PRL, 12th March, 2001. Paper rejected by PRL. Material herein recast and expanded in form of a new paper (arXiv:cond-mat/0106015), submitted to PRE, 1st June 2001
dc.identifierhttps://arxiv.org/abs/cond-mat/0007275
dc.identifierhttp://arxiv.org/abs/cond-mat/0007275
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/16592
dc.subjectStatistical Mechanics
dc.titleThe relationship between extremum statistics and universal fluctuations
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