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dc.contributor.author
Becher, Veronica Andrea  
dc.contributor.author
Carton, Olivier  
dc.contributor.author
Mollo Cunningham, Ignacio Agustín  
dc.date.available
2020-12-23T16:55:23Z  
dc.date.issued
2019-08  
dc.identifier.citation
Becher, Veronica Andrea; Carton, Olivier; Mollo Cunningham, Ignacio Agustín; Low discrepancy sequences failing Poissonian pair correlations; Birkhauser Verlag Ag; Archiv Der Mathematik; 113; 2; 8-2019; 169-178  
dc.identifier.issn
0003-889X  
dc.identifier.uri
http://hdl.handle.net/11336/121143  
dc.description.abstract
M. Levin defined a real number x that satisfies that the sequence of the fractional parts of (2nx)n≥1 are such that the first N terms have discrepancy O((log N) 2/ N) , which is the smallest discrepancy known for this kind of parametric sequences. In this work we show that the fractional parts of the sequence (2nx)n≥1 fail to have Poissonian pair correlations. Moreover, we show that all the real numbers x that are variants of Levin’s number using Pascal triangle matrices are such that the fractional parts of the sequence (2nx)n≥1 fail to have Poissonian pair correlations.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Birkhauser Verlag Ag  
dc.rights
info:eu-repo/semantics/restrictedAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
BOREL NORMAL NUMBERS  
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DISTRIBUTION MODULO 1  
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LOW DISCREPANCY SEQUENCES  
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NESTED PERFECT NECKLACES  
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PASCAL TRIANGLE MATRICES  
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POISSONIAN PAIR CORRELATIONS  
dc.subject.classification
Ciencias de la Computación  
dc.subject.classification
Ciencias de la Computación e Información  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Low discrepancy sequences failing Poissonian pair correlations  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2020-11-18T17:32:16Z  
dc.journal.volume
113  
dc.journal.number
2  
dc.journal.pagination
169-178  
dc.journal.pais
Suiza  
dc.journal.ciudad
Basel  
dc.description.fil
Fil: Becher, Veronica Andrea. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigación en Ciencias de la Computación. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigación en Ciencias de la Computación; Argentina  
dc.description.fil
Fil: Carton, Olivier. Université Paris Diderot - Paris 7; Francia  
dc.description.fil
Fil: Mollo Cunningham, Ignacio Agustín. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina  
dc.journal.title
Archiv Der Mathematik  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00013-019-01336-3  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs00013-019-01336-3