A Shannon-Tsallis transformation

Via a first-order linear differential equation, we determine a general link between two different solutions of the MaxEnt variational problem, namely, the ones that correspond to using either Shannon’s or Tsallis’ entropies in the concomitant variational problem. It is shown that the two variations...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Rufeil Fiori, Elena, Plastino, Ángel Luis
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2013
Materias:
Física
Shannon entropy
Tsallis entropy
Maxent
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/97218
https://ri.conicet.gov.ar/11336/23396
https://arxiv.org/abs/1201.4507
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-97218
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Shannon entropy
Tsallis entropy
Maxent
spellingShingle Física
Shannon entropy
Tsallis entropy
Maxent
Rufeil Fiori, Elena
Plastino, Ángel Luis
A Shannon-Tsallis transformation
topic_facet Física
Shannon entropy
Tsallis entropy
Maxent
description Via a first-order linear differential equation, we determine a general link between two different solutions of the MaxEnt variational problem, namely, the ones that correspond to using either Shannon’s or Tsallis’ entropies in the concomitant variational problem. It is shown that the two variations lead to equivalent solutions that have different appearances but contain the same information. These solutions are linked by our transformation. However, the so-called collision entropy (Tsallis’ one with q=2) does not have a Shannon counterpart.
format Articulo
Preprint
author Rufeil Fiori, Elena
Plastino, Ángel Luis
author_facet Rufeil Fiori, Elena
Plastino, Ángel Luis
author_sort Rufeil Fiori, Elena
title A Shannon-Tsallis transformation
title_short A Shannon-Tsallis transformation
title_full A Shannon-Tsallis transformation
title_fullStr A Shannon-Tsallis transformation
title_full_unstemmed A Shannon-Tsallis transformation
title_sort shannon-tsallis transformation
publishDate 2013
url http://sedici.unlp.edu.ar/handle/10915/97218
https://ri.conicet.gov.ar/11336/23396
https://arxiv.org/abs/1201.4507
work_keys_str_mv AT rufeilfiorielena ashannontsallistransformation
AT plastinoangelluis ashannontsallistransformation
AT rufeilfiorielena shannontsallistransformation
AT plastinoangelluis shannontsallistransformation
bdutipo_str Repositorios
_version_ 1764820492465733633

Ejemplares similares