Bounds for Estimators of Ergodic Averages

Autores
Mesón, Alejandro Mario; Vericat, Fernando
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We consider different ergodic averages and estimate the measure of the set of points in which the averages apart from a given value. The cases considered are empirical measures of cylinders in symbolic spaces and averages of maps given a kind Lyapunov exponents, in a such spaces. Besides we obtain bounds for the fluctuations of ergodic averages from amenable action groups. The bounds obtained are valid for any ¨time¨, not only, like in case of large deviations, for asymptotic values.
Instituto de Física de Líquidos y Sistemas Biológicos
Grupo de Aplicaciones Matemáticas y Estadísticas de la Facultad de Ingeniería
Materia
Matemática
Ergodic averages
Bound estimators
Empirical measures
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:10915/95400

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spelling Bounds for Estimators of Ergodic AveragesMesón, Alejandro MarioVericat, FernandoMatemáticaErgodic averagesBound estimatorsEmpirical measuresWe consider different ergodic averages and estimate the measure of the set of points in which the averages apart from a given value. The cases considered are empirical measures of cylinders in symbolic spaces and averages of maps given a kind Lyapunov exponents, in a such spaces. Besides we obtain bounds for the fluctuations of ergodic averages from amenable action groups. The bounds obtained are valid for any ¨time¨, not only, like in case of large deviations, for asymptotic values.Instituto de Física de Líquidos y Sistemas BiológicosGrupo de Aplicaciones Matemáticas y Estadísticas de la Facultad de Ingeniería2013-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf699-712http://sedici.unlp.edu.ar/handle/10915/95400enginfo:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/23513info:eu-repo/semantics/altIdentifier/url/http://www.m-hikari.com/ijma/ijma-2013/ijma-13-16-2013/13067.htmlinfo:eu-repo/semantics/altIdentifier/issn/1314-7579info:eu-repo/semantics/altIdentifier/doi/10.12988/ijma.2013.13067info:eu-repo/semantics/altIdentifier/hdl/11336/23513info: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:UNLP2025-09-03T10:52:12Zoai:sedici.unlp.edu.ar:10915/95400Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-03 10:52:12.273SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Bounds for Estimators of Ergodic Averages
title Bounds for Estimators of Ergodic Averages
spellingShingle Bounds for Estimators of Ergodic Averages
Mesón, Alejandro Mario
Matemática
Ergodic averages
Bound estimators
Empirical measures
title_short Bounds for Estimators of Ergodic Averages
title_full Bounds for Estimators of Ergodic Averages
title_fullStr Bounds for Estimators of Ergodic Averages
title_full_unstemmed Bounds for Estimators of Ergodic Averages
title_sort Bounds for Estimators of Ergodic Averages
dc.creator.none.fl_str_mv Mesón, Alejandro Mario
Vericat, Fernando
author Mesón, Alejandro Mario
author_facet Mesón, Alejandro Mario
Vericat, Fernando
author_role author
author2 Vericat, Fernando
author2_role author
dc.subject.none.fl_str_mv Matemática
Ergodic averages
Bound estimators
Empirical measures
topic Matemática
Ergodic averages
Bound estimators
Empirical measures
dc.description.none.fl_txt_mv We consider different ergodic averages and estimate the measure of the set of points in which the averages apart from a given value. The cases considered are empirical measures of cylinders in symbolic spaces and averages of maps given a kind Lyapunov exponents, in a such spaces. Besides we obtain bounds for the fluctuations of ergodic averages from amenable action groups. The bounds obtained are valid for any ¨time¨, not only, like in case of large deviations, for asymptotic values.
Instituto de Física de Líquidos y Sistemas Biológicos
Grupo de Aplicaciones Matemáticas y Estadísticas de la Facultad de Ingeniería
description We consider different ergodic averages and estimate the measure of the set of points in which the averages apart from a given value. The cases considered are empirical measures of cylinders in symbolic spaces and averages of maps given a kind Lyapunov exponents, in a such spaces. Besides we obtain bounds for the fluctuations of ergodic averages from amenable action groups. The bounds obtained are valid for any ¨time¨, not only, like in case of large deviations, for asymptotic values.
publishDate 2013
dc.date.none.fl_str_mv 2013-01
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/10915/95400
url http://sedici.unlp.edu.ar/handle/10915/95400
dc.language.none.fl_str_mv eng
language eng
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info:eu-repo/semantics/altIdentifier/issn/1314-7579
info:eu-repo/semantics/altIdentifier/doi/10.12988/ijma.2013.13067
info:eu-repo/semantics/altIdentifier/hdl/11336/23513
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
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repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
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