A polynomial-time algorithm for computing absolutely normal numbers

Autores
Becher, Veronica Andrea; Heiber, Pablo Ariel; Slaman, Theodore A.
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We give an algorithm to compute an absolutely normal number so that the first n digits in its binary expansion are obtained in time polynomial in n; in fact, just above quadratic. The algorithm uses combinatorial tools to control divergence from normality. Speed of computation is achieved at the sacrifice of speed of convergence to normality.
Fil: Becher, Veronica Andrea. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Computación; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Heiber, Pablo Ariel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Computación; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Slaman, Theodore A.. University Of California Berkeley; Estados Unidos
Materia
Normal Numbers
Absolutely Normal Numbers
Computable Normal Numbers
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/15636
Acceder
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network_name_str CONICET Digital (CONICET)
spelling A polynomial-time algorithm for computing absolutely normal numbersBecher, Veronica AndreaHeiber, Pablo ArielSlaman, Theodore A.Normal NumbersAbsolutely Normal NumbersComputable Normal Numbershttps://purl.org/becyt/ford/1.2https://purl.org/becyt/ford/1We give an algorithm to compute an absolutely normal number so that the first n digits in its binary expansion are obtained in time polynomial in n; in fact, just above quadratic. The algorithm uses combinatorial tools to control divergence from normality. Speed of computation is achieved at the sacrifice of speed of convergence to normality.Fil: Becher, Veronica Andrea. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Computación; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Heiber, Pablo Ariel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Computación; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Slaman, Theodore A.. University Of California Berkeley; Estados UnidosElsevier Inc2013-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/15636Becher, Veronica Andrea; Heiber, Pablo Ariel; Slaman, Theodore A.; A polynomial-time algorithm for computing absolutely normal numbers; Elsevier Inc; Information And Computation; 232; 11-2013; 1-90890-5401enginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.ic.2013.08.013info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0890540113000904info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:48:54Zoai:ri.conicet.gov.ar:11336/15636instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:48:55.192CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A polynomial-time algorithm for computing absolutely normal numbers
title A polynomial-time algorithm for computing absolutely normal numbers
spellingShingle A polynomial-time algorithm for computing absolutely normal numbers
Becher, Veronica Andrea
Normal Numbers
Absolutely Normal Numbers
Computable Normal Numbers
title_short A polynomial-time algorithm for computing absolutely normal numbers
title_full A polynomial-time algorithm for computing absolutely normal numbers
title_fullStr A polynomial-time algorithm for computing absolutely normal numbers
title_full_unstemmed A polynomial-time algorithm for computing absolutely normal numbers
title_sort A polynomial-time algorithm for computing absolutely normal numbers
dc.creator.none.fl_str_mv Becher, Veronica Andrea
Heiber, Pablo Ariel
Slaman, Theodore A.
author Becher, Veronica Andrea
author_facet Becher, Veronica Andrea
Heiber, Pablo Ariel
Slaman, Theodore A.
author_role author
author2 Heiber, Pablo Ariel
Slaman, Theodore A.
author2_role author
author
dc.subject.none.fl_str_mv Normal Numbers
Absolutely Normal Numbers
Computable Normal Numbers
topic Normal Numbers
Absolutely Normal Numbers
Computable Normal Numbers
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.2
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We give an algorithm to compute an absolutely normal number so that the first n digits in its binary expansion are obtained in time polynomial in n; in fact, just above quadratic. The algorithm uses combinatorial tools to control divergence from normality. Speed of computation is achieved at the sacrifice of speed of convergence to normality.
Fil: Becher, Veronica Andrea. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Computación; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Heiber, Pablo Ariel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Computación; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Slaman, Theodore A.. University Of California Berkeley; Estados Unidos
description We give an algorithm to compute an absolutely normal number so that the first n digits in its binary expansion are obtained in time polynomial in n; in fact, just above quadratic. The algorithm uses combinatorial tools to control divergence from normality. Speed of computation is achieved at the sacrifice of speed of convergence to normality.
publishDate 2013
dc.date.none.fl_str_mv 2013-11
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
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://hdl.handle.net/11336/15636
Becher, Veronica Andrea; Heiber, Pablo Ariel; Slaman, Theodore A.; A polynomial-time algorithm for computing absolutely normal numbers; Elsevier Inc; Information And Computation; 232; 11-2013; 1-9
0890-5401
url http://hdl.handle.net/11336/15636
identifier_str_mv Becher, Veronica Andrea; Heiber, Pablo Ariel; Slaman, Theodore A.; A polynomial-time algorithm for computing absolutely normal numbers; Elsevier Inc; Information And Computation; 232; 11-2013; 1-9
0890-5401
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.ic.2013.08.013
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0890540113000904
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Inc
publisher.none.fl_str_mv Elsevier Inc
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.069144

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