Some remarks on a probability limit theorem for continued fractions

Autores
Samur, Jorge Donato
Año de publicación
1996
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
It is shown that if a certain condition on the variances of the partial sums is satisfied then a theorem of Philipp and Stout, which implies the asymptotic fluctuation results known for independent random variables, can be applied to some quantities related to continued fractions. Previous results on the behavior of the approximation by the continued fraction convergents to a random real number are improved.
Facultad de Ciencias Exactas
Materia
Matemática
Continued fractions
Probability
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:10915/144036
Acceder
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spelling Some remarks on a probability limit theorem for continued fractionsSamur, Jorge DonatoMatemáticaContinued fractionsProbabilityIt is shown that if a certain condition on the variances of the partial sums is satisfied then a theorem of Philipp and Stout, which implies the asymptotic fluctuation results known for independent random variables, can be applied to some quantities related to continued fractions. Previous results on the behavior of the approximation by the continued fraction convergents to a random real number are improved.Facultad de Ciencias Exactas1996info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf1411-1428http://sedici.unlp.edu.ar/handle/10915/144036enginfo:eu-repo/semantics/altIdentifier/issn/0002-9947info:eu-repo/semantics/altIdentifier/issn/1088-6850info:eu-repo/semantics/altIdentifier/doi/10.1090/s0002-9947-96-01571-1info: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:UNLP2025-10-22T17:13:26Zoai:sedici.unlp.edu.ar:10915/144036Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-22 17:13:26.388SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Some remarks on a probability limit theorem for continued fractions
title Some remarks on a probability limit theorem for continued fractions
spellingShingle Some remarks on a probability limit theorem for continued fractions
Samur, Jorge Donato
Matemática
Continued fractions
Probability
title_short Some remarks on a probability limit theorem for continued fractions
title_full Some remarks on a probability limit theorem for continued fractions
title_fullStr Some remarks on a probability limit theorem for continued fractions
title_full_unstemmed Some remarks on a probability limit theorem for continued fractions
title_sort Some remarks on a probability limit theorem for continued fractions
dc.creator.none.fl_str_mv Samur, Jorge Donato
author Samur, Jorge Donato
author_facet Samur, Jorge Donato
author_role author
dc.subject.none.fl_str_mv Matemática
Continued fractions
Probability
topic Matemática
Continued fractions
Probability
dc.description.none.fl_txt_mv It is shown that if a certain condition on the variances of the partial sums is satisfied then a theorem of Philipp and Stout, which implies the asymptotic fluctuation results known for independent random variables, can be applied to some quantities related to continued fractions. Previous results on the behavior of the approximation by the continued fraction convergents to a random real number are improved.
Facultad de Ciencias Exactas
description It is shown that if a certain condition on the variances of the partial sums is satisfied then a theorem of Philipp and Stout, which implies the asymptotic fluctuation results known for independent random variables, can be applied to some quantities related to continued fractions. Previous results on the behavior of the approximation by the continued fraction convergents to a random real number are improved.
publishDate 1996
dc.date.none.fl_str_mv 1996
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/10915/144036
url http://sedici.unlp.edu.ar/handle/10915/144036
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0002-9947
info:eu-repo/semantics/altIdentifier/issn/1088-6850
info:eu-repo/semantics/altIdentifier/doi/10.1090/s0002-9947-96-01571-1
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
1411-1428
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instname_str Universidad Nacional de La Plata
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repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
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