| dc.contributor.author | Pirsic, Ísabel | |
| dc.contributor.author | Stockinger, Wolfgang | |
| dc.contributor.other | Universidad de Cantabria | es_ES |
| dc.date.accessioned | 2025-03-12T09:41:03Z | |
| dc.date.available | 2025-03-12T09:41:03Z | |
| dc.date.issued | 2019-06 | |
| dc.identifier.issn | 0208-6573 | |
| dc.identifier.issn | 2080-9433 | |
| dc.identifier.uri | https://hdl.handle.net/10902/35966 | |
| dc.description.abstract | In this note we study the pair correlation statistics for the sequence of shifts of α, xn = {2n α}, n = 1, 2, 3, . . ., where we choose α as the Champernowne constant in base 2. Throughout this article {·} denotes the fractional part of a real number. It is well known that (xn)n∈N has Poissonian pair correlations for almost all normal numbers α (in the sense of Lebesgue), but we will show that it does not have this property for all normal numbers α, as it fails to be Poissonian for the Champernowne constant. | es_ES |
| dc.description.sponsorship | The first author is supported by the Austrian Science Fund (FWF), Project P27351-N26. The second author is supported by the Austrian Science Fund (FWF), Project F5507-N26, which is a part of the Special Research Program “Quasi-Monte Carlo Methods: Theory and Applications”. | es_ES |
| dc.format.extent | 10 p. | es_ES |
| dc.language.iso | eng | es_ES |
| dc.publisher | Adam Mickiewicz University | es_ES |
| dc.rights | © 2024 Adam Mickiewicz University | es_ES |
| dc.source | Functiones et Approximatio, Commentarii Mathematici, 2019, 60(2), 253-262 | es_ES |
| dc.subject.other | Poissonian pair correlation | es_ES |
| dc.subject.other | Normal numbers | es_ES |
| dc.title | The champernowne constant is not poissonian | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.relation.publisherVersion | https://doi.org/10.7169/facm/1749 | es_ES |
| dc.rights.accessRights | openAccess | es_ES |
| dc.identifier.DOI | 10.7169/facm/1749 | |
| dc.type.version | publishedVersion | es_ES |
