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dc.contributor.authorKempton, Thomas Michael William
dc.date.accessioned2015-10-30T15:40:06Z
dc.date.available2015-10-30T15:40:06Z
dc.date.issued2014-06-27
dc.identifier.citationKempton , T M W 2014 , ' Digit frequencies and Bernoulli convolutions ' , Indagationes Mathematicae , vol. 25 , no. 4 , pp. 832-842 . https://doi.org/10.1016/j.indag.2014.04.011en
dc.identifier.issn0019-3577
dc.identifier.otherPURE: 226677589
dc.identifier.otherPURE UUID: 351099a7-1f19-43da-ba1b-39b4b8572b4c
dc.identifier.otherScopus: 84902331106
dc.identifier.otherWOS: 000338394800013
dc.identifier.urihttps://hdl.handle.net/10023/7719
dc.descriptionThis work was supported partly by the Dutch Organisation for Scientific Research (NWO) grant number 613.001.022 and partly by the Engineering and Physical Sciences Research Council grant number EP/K029061/1.en
dc.description.abstractIt is well known that when β is a Pisot number, the corresponding Bernoulli convolution ν(β) has Hausdorff dimension less than 1, i.e. that there exists a set A(β) with (ν(β))(A(β))=1 and dim_H(A(β))<1. We show explicitly how to construct for each Pisot number β such a set A(β).
dc.language.isoeng
dc.relation.ispartofIndagationes Mathematicaeen
dc.rights© 2014, Publisher / the Author(s). This work is made available online in accordance with the publisher’s policies. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at www.sciencedirect.com / https://dx.doi.org/10.1016/j.indag.2014.04.011en
dc.subjectBernoulli convolutionsen
dc.subjectBeta expansionsen
dc.subjectErgodic theoryen
dc.subjectQA Mathematicsen
dc.subject.lccQAen
dc.titleDigit frequencies and Bernoulli convolutionsen
dc.typeJournal articleen
dc.contributor.sponsorEPSRCen
dc.description.versionPostprinten
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.identifier.doihttps://doi.org/10.1016/j.indag.2014.04.011
dc.description.statusPeer revieweden
dc.identifier.grantnumberEP/K029061/1en


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