Variational principle underlying scale invariant social systems

MaxEnt's variational principle, in conjunction with Shannon's logarithmic information measure, yields only exponential functional forms in straightforward fashion. In this communication we show how to overcome this limitation via the incorporation, into the variational process, of suitable...

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Detalles Bibliográficos
Autores principales: Hernando, A., Plastino, Ángel Luis
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2012
Materias:
Ciencias Exactas
Maxent
Shannon´s
Logarithmic
Information
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/95704
https://ri.conicet.gov.ar/11336/74368
https://link.springer.com/article/10.1140%2Fepjb%2Fe2012-30313-x
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-95704
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Maxent
Shannon´s
Logarithmic
Information
spellingShingle Ciencias Exactas
Maxent
Shannon´s
Logarithmic
Information
Hernando, A.
Plastino, Ángel Luis
Variational principle underlying scale invariant social systems
topic_facet Ciencias Exactas
Maxent
Shannon´s
Logarithmic
Information
description MaxEnt's variational principle, in conjunction with Shannon's logarithmic information measure, yields only exponential functional forms in straightforward fashion. In this communication we show how to overcome this limitation via the incorporation, into the variational process, of suitable dynamical information. As a consequence, we are able to formulate a somewhat generalized Shannonian maximum entropy approach which provides a unifying "thermodynamic-like" explanation for the scale-invariant phenomena observed in social contexts, as city-population distributions. We confirm the MaxEnt predictions by means of numerical experiments with random walkers, and compare them with some empirical data.
format Articulo
Preprint
author Hernando, A.
Plastino, Ángel Luis
author_facet Hernando, A.
Plastino, Ángel Luis
author_sort Hernando, A.
title Variational principle underlying scale invariant social systems
title_short Variational principle underlying scale invariant social systems
title_full Variational principle underlying scale invariant social systems
title_fullStr Variational principle underlying scale invariant social systems
title_full_unstemmed Variational principle underlying scale invariant social systems
title_sort variational principle underlying scale invariant social systems
publishDate 2012
url http://sedici.unlp.edu.ar/handle/10915/95704
https://ri.conicet.gov.ar/11336/74368
https://link.springer.com/article/10.1140%2Fepjb%2Fe2012-30313-x
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