Ergodic statistical models: Entropic dynamics and chaos

Autores
Gómez, Ignacio Sebastián; Portesi, Mariela Adelina
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
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.
Instituto de Física La Plata
Consejo Nacional de Investigaciones Científicas y Técnicas
Materia
Física
Ergodic hierarchy
Goe
Entropic dynamics
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/97640
Acceder
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network_name_str SEDICI (UNLP)
spelling Ergodic statistical models: Entropic dynamics and chaosGómez, Ignacio SebastiánPortesi, Mariela AdelinaFísicaErgodic hierarchyGoeEntropic dynamicsWe 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.Instituto de Física La PlataConsejo Nacional de Investigaciones Científicas y Técnicas2017-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf1-8http://sedici.unlp.edu.ar/handle/10915/97640enginfo:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/63627info:eu-repo/semantics/altIdentifier/url/http://aip.scitation.org/doi/abs/10.1063/1.4985374info:eu-repo/semantics/altIdentifier/issn/0094-243Xinfo:eu-repo/semantics/altIdentifier/doi/10.1063/1.4985374info:eu-repo/semantics/altIdentifier/hdl/11336/63627info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-03T10:52:32Zoai:sedici.unlp.edu.ar:10915/97640Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-03 10:52:32.433SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Ergodic statistical models: Entropic dynamics and chaos
title Ergodic statistical models: Entropic dynamics and chaos
spellingShingle Ergodic statistical models: Entropic dynamics and chaos
Gómez, Ignacio Sebastián
Física
Ergodic hierarchy
Goe
Entropic dynamics
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
dc.creator.none.fl_str_mv Gómez, Ignacio Sebastián
Portesi, Mariela Adelina
author Gómez, Ignacio Sebastián
author_facet Gómez, Ignacio Sebastián
Portesi, Mariela Adelina
author_role author
author2 Portesi, Mariela Adelina
author2_role author
dc.subject.none.fl_str_mv Física
Ergodic hierarchy
Goe
Entropic dynamics
topic Física
Ergodic hierarchy
Goe
Entropic dynamics
dc.description.none.fl_txt_mv 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.
Instituto de Física La Plata
Consejo Nacional de Investigaciones Científicas y Técnicas
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.
publishDate 2017
dc.date.none.fl_str_mv 2017-06
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/97640
url http://sedici.unlp.edu.ar/handle/10915/97640
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/63627
info:eu-repo/semantics/altIdentifier/url/http://aip.scitation.org/doi/abs/10.1063/1.4985374
info:eu-repo/semantics/altIdentifier/issn/0094-243X
info:eu-repo/semantics/altIdentifier/doi/10.1063/1.4985374
info:eu-repo/semantics/altIdentifier/hdl/11336/63627
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
1-8
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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