On the construction of absolutely normal numbers

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dc.conicet.fuenteindividual
dc.conicet.organizacionTechnical University Graz
dc.conicet.organizacionUniversidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Computación
dc.conicet.organizacionConsejo Nacional de Investigaciones Científicas y Técnicas
dc.conicet.organizacionTechnical University Graz
dc.conicet.organizacionUniversity of California at Berkeley
dc.conicet.paisOrganizacionAustria
dc.conicet.paisOrganizacionArgentina
dc.conicet.paisOrganizacionArgentina
dc.conicet.paisOrganizacionAustria
dc.conicet.paisOrganizacionEstados Unidos
dc.conicet.produccionid7116456
dc.contributor.authorAistleitner, Christoph
dc.contributor.authorBecher, Veronica Andrea
dc.contributor.authorScheerer, Adrian-Maria
dc.contributor.authorSlaman, Theodore A.
dc.date.accessioned2018-09-19T19:43:11Z
dc.date.available2018-09-19T19:43:11Z
dc.date.issued2017-12
dc.date.updated2018-09-17T19:37:49Z
dc.description.abstractWe give a construction of an absolutely normal real number x such that for every integer b greater than or equal to 2, the discrepancy of the first N terms of the sequence (bnx mod 1)n≥0 is of asymptotic order O(N−1/2). This is below the order of discrepancy which holds for almost all real numbers. Even the existence of absolutely normal numbers having a discrepancy of such a small asymptotic order was not known before.es
dc.description.filFil: Aistleitner, Christoph. Technical University Graz; Austria
dc.description.filFil: 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.filFil: Scheerer, Adrian-Maria. Technical University Graz; Austria
dc.description.filFil: Slaman, Theodore A.. University of California at Berkeley; Estados Unidos
dc.formatapplication/pdfes
dc.identifier.citationAistleitner, Christoph; Becher, Veronica Andrea; Scheerer, Adrian-Maria; Slaman, Theodore A.; On the construction of absolutely normal numbers; Polish Academy of Sciences. Institute of Mathematics; Acta Arithmetica; 180; 4; 12-2017; 333-346es
dc.identifier.institucionalCONICET
dc.identifier.issn0065-1036es
dc.identifier.repoCONICET Digital
dc.identifier.urihttp://hdl.handle.net/11336/60326
dc.journal.ciudadVarsoviaes
dc.journal.number4es
dc.journal.pagination333-346es
dc.journal.paisPoloniaes
dc.journal.titleActa Arithmeticaes
dc.journal.volume180es
dc.language.isoenges
dc.publisherPolish Academy of Sciences. Institute of Mathematicses
dc.relation.alternativeidinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.4064/aa170213-5-8
dc.rightsinfo:eu-repo/semantics/openAccess*
dc.rights.urihttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/*
dc.subjectDiscrepancyes
dc.subjectNormal Numberses
dc.subjectUniform Distributiones
dc.subject.classificationMatemática Puraes
dc.subject.classificationMatemáticases
dc.subject.classificationCIENCIAS NATURALES Y EXACTASes
dc.titleOn the construction of absolutely normal numberses
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion

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