Ergodic statistical models: Entropic dynamics and chaos

We present an extension of the ergodic, mixing and Bernoulli levels of the ergodic hierarchy in dynamical systems, the information geometric ergodic hierarchy, making use of statistical models on curved manifolds in the context of information geometry. We discuss the 2×2 Gaussian Orthogonal Ensemble...

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Detalles Bibliográficos
Autores principales: Gómez, Ignacio Sebastián, Portesi, Mariela Adelina
Formato: Articulo
Lenguaje:Inglés
Publicado: 2017
Materias:
Física
Ergodic hierarchy
Goe
Entropic dynamics
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/97640
https://ri.conicet.gov.ar/11336/63627
http://aip.scitation.org/doi/abs/10.1063/1.4985374
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-97640
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Ergodic hierarchy
Goe
Entropic dynamics
spellingShingle Física
Ergodic hierarchy
Goe
Entropic dynamics
Gómez, Ignacio Sebastián
Portesi, Mariela Adelina
Ergodic statistical models: Entropic dynamics and chaos
topic_facet Física
Ergodic hierarchy
Goe
Entropic dynamics
description We present an extension of the ergodic, mixing and Bernoulli levels of the ergodic hierarchy in dynamical systems, the information geometric ergodic hierarchy, making use of statistical models on curved manifolds in the context of information geometry. We discuss the 2×2 Gaussian Orthogonal Ensembles (GOE) within a 2D correlated model. For values of the correlation coefficient vanishingly small, we find that GOE belong to the information geometric (IG) mixing level having a maximum negative value of scalar curvature. Moreover, we propose a measure of distinguishability for the family of distributions of the 2D correlated model that results to be an upper bound of the IG correlation.
format Articulo
Articulo
author Gómez, Ignacio Sebastián
Portesi, Mariela Adelina
author_facet Gómez, Ignacio Sebastián
Portesi, Mariela Adelina
author_sort Gómez, Ignacio Sebastián
title Ergodic statistical models: Entropic dynamics and chaos
title_short Ergodic statistical models: Entropic dynamics and chaos
title_full Ergodic statistical models: Entropic dynamics and chaos
title_fullStr Ergodic statistical models: Entropic dynamics and chaos
title_full_unstemmed Ergodic statistical models: Entropic dynamics and chaos
title_sort ergodic statistical models: entropic dynamics and chaos
publishDate 2017
url http://sedici.unlp.edu.ar/handle/10915/97640
https://ri.conicet.gov.ar/11336/63627
http://aip.scitation.org/doi/abs/10.1063/1.4985374
work_keys_str_mv AT gomezignaciosebastian ergodicstatisticalmodelsentropicdynamicsandchaos
AT portesimarielaadelina ergodicstatisticalmodelsentropicdynamicsandchaos
bdutipo_str Repositorios
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