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dc.contributor.author
Becher, Veronica Andrea
dc.contributor.author
Yuhjtman, Sergio Andrés
dc.date.available
2018-08-14T17:45:02Z
dc.date.issued
2017-12
dc.identifier.citation
Becher, Veronica Andrea; Yuhjtman, Sergio Andrés; On absolutely normal and continued fraction normal numbers; Oxford University Press; International Mathematics Research Notices; 12-2017; 1-26
dc.identifier.issn
1073-7928
dc.identifier.uri
http://hdl.handle.net/11336/55427
dc.description.abstract
We give a construction of a real number that is normal to all integer bases and continued fraction normal. The computation of the firstn digits of its continued fraction expansion performs in the order ofn^4 mathematical operations. The construction works by defining successive refinements of appropriate subintervals to achieve, in the limit, simple normality to all integer bases and continued fraction normality. The main difficulty is to control the length of these subintervals. To achieve this we adapt and combine known metric theorems on continued fractions and on expansions in integers bases.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Oxford University Press
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Normal Numbers
dc.subject
Polynomial Time Algorithm
dc.subject
Continued Fractions
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
On absolutely normal and continued fraction normal numbers
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-08-14T14:13:38Z
dc.journal.pagination
1-26
dc.journal.pais
Reino Unido
dc.journal.ciudad
Oxford
dc.description.fil
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
dc.description.fil
Fil: Yuhjtman, Sergio Andrés. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
dc.journal.title
International Mathematics Research Notices
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1704.03622
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1093/imrn/rnx297
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://academic.oup.com/imrn/advance-article-abstract/doi/10.1093/imrn/rnx297/4810650?redirectedFrom=fulltext
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