MaxEnt, second variation, and generalized statistics

There are two kinds of Tsallis-probability distributions: heavy tail ones and compact support distributions. We show here, by appeal to functional analysis’ tools, that for lower bound Hamiltonians, the second variation’s analysis of the entropic functional guarantees that the heavy tail q -distribu...

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Detalles Bibliográficos
Autores principales:	Plastino, Ángel Luis, Rocca, Mario Carlos
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	2015
Materias:	Física MaxEnt Second variation Generalized statistics
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/129627
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-129627
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Física MaxEnt Second variation Generalized statistics
spellingShingle	Física MaxEnt Second variation Generalized statistics Plastino, Ángel Luis Rocca, Mario Carlos MaxEnt, second variation, and generalized statistics
topic_facet	Física MaxEnt Second variation Generalized statistics
description	There are two kinds of Tsallis-probability distributions: heavy tail ones and compact support distributions. We show here, by appeal to functional analysis’ tools, that for lower bound Hamiltonians, the second variation’s analysis of the entropic functional guarantees that the heavy tail q -distribution constitutes a maximum of Tsallis’ entropy. On the other hand, in the compact support instance, a case by case analysis is necessary in order to tackle the issue.
format	Articulo Articulo
author	Plastino, Ángel Luis Rocca, Mario Carlos
author_facet	Plastino, Ángel Luis Rocca, Mario Carlos
author_sort	Plastino, Ángel Luis
title	MaxEnt, second variation, and generalized statistics
title_short	MaxEnt, second variation, and generalized statistics
title_full	MaxEnt, second variation, and generalized statistics
title_fullStr	MaxEnt, second variation, and generalized statistics
title_full_unstemmed	MaxEnt, second variation, and generalized statistics
title_sort	maxent, second variation, and generalized statistics
publishDate	2015
url	http://sedici.unlp.edu.ar/handle/10915/129627
work_keys_str_mv	AT plastinoangelluis maxentsecondvariationandgeneralizedstatistics AT roccamariocarlos maxentsecondvariationandgeneralizedstatistics
bdutipo_str	Repositorios
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MaxEnt, second variation, and generalized statistics

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