Nonextensive statistical mechanics and central limit theorems II - Convolution of q-independent random variables

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dc.creatorQueiros, Silvio M. Duarte
dc.creatorTsallis, Constantino
dc.date2007-09-28
dc.date.accessioned2026-07-07T08:49:09Z
dc.date.available2026-07-07T08:49:09Z
dc.descriptionIn this article we review recent generalisations of the central limit theorem for the sum of specially correlated (or q-independent) variables, focusing on q greater or equal than 1. Specifically, this kind of correlation turns the probability density function known as q-Gaussian, which emerges upon maximisation of the entropy Sq, into an attractor in probability space. Moreover, we also discuss a q-generalisation of a-stable Levy distributions which can as well be stable for this special kind of correlation.Within this context, we verify the emergence of a triplet of entropic indices which relate the form of the attractor, the correlation, and the scaling rate, similar to the q-triplet that connects the entropic indices characterising the sensitivity to initial conditions, the stationary state, and relaxation to the stationary state in anomalous systems.
dc.description14 pages, 4 figures, and 1 table. To appear in the Proceedings of the conference CTNEXT07, Complexity, Metastability and Nonextensivity, Catania, Italy, 1-5 July 2007, Eds. S. Abe, H.J. Herrmann, P. Quarati, A. Rapisarda and C. Tsallis (American Institute of Physics, 2008) in press
dc.identifierhttps://arxiv.org/abs/0709.4661
dc.identifierhttp://arxiv.org/abs/0709.4661
dc.identifierAIP Conf. Proc. 965, 21 (2007)
dc.identifierdoi:10.1063/1.2828736
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144194
dc.subjectStatistical Mechanics
dc.titleNonextensive statistical mechanics and central limit theorems II - Convolution of q-independent random variables
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