Central limit theorem, deformed exponentials and superstatistics

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dc.creatorVignat, C.
dc.creatorPlastino, A.
dc.date2007-06-01
dc.date.accessioned2026-07-07T08:03:53Z
dc.date.available2026-07-07T08:03:53Z
dc.descriptionWe show that there exists a very natural, superstatistics-linked extension of the central limit theorem (CLT) to deformed exponentials (also called q-Gaussians): This generalization favorably compares with the one provided by S. Umarov and C. Tsallis [arXiv:cond-mat/0703533], since the latter requires a special "q-independence" condition on the data. On the contrary, our CLT proposal applies exactly in the usual conditions in which the classical CLT is used. Moreover, we show that, asymptotically, the q-independence condition is naturally induced by our version of the CLT.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0706.0151
dc.identifierhttp://arxiv.org/abs/0706.0151
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129746
dc.subjectStatistical Mechanics
dc.titleCentral limit theorem, deformed exponentials and superstatistics
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