Files in this item
Digit frequencies and Bernoulli convolutions
Item metadata
dc.contributor.author | Kempton, Thomas Michael William | |
dc.date.accessioned | 2015-10-30T15:40:06Z | |
dc.date.available | 2015-10-30T15:40:06Z | |
dc.date.issued | 2014-06-27 | |
dc.identifier.citation | Kempton , 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.2014.04.011 | en |
dc.identifier.issn | 0019-3577 | |
dc.identifier.other | PURE: 226677589 | |
dc.identifier.other | PURE UUID: 351099a7-1f19-43da-ba1b-39b4b8572b4c | |
dc.identifier.other | Scopus: 84902331106 | |
dc.identifier.other | WOS: 000338394800013 | |
dc.identifier.uri | https://hdl.handle.net/10023/7719 | |
dc.description | This 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.abstract | It 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.iso | eng | |
dc.relation.ispartof | Indagationes Mathematicae | en |
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.2014.04.011 | en |
dc.subject | Bernoulli convolutions | en |
dc.subject | Beta expansions | en |
dc.subject | Ergodic theory | en |
dc.subject | QA Mathematics | en |
dc.subject.lcc | QA | en |
dc.title | Digit frequencies and Bernoulli convolutions | en |
dc.type | Journal article | en |
dc.contributor.sponsor | EPSRC | en |
dc.description.version | Postprint | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.identifier.doi | https://doi.org/10.1016/j.indag.2014.04.011 | |
dc.description.status | Peer reviewed | en |
dc.identifier.grantnumber | EP/K029061/1 | en |
This item appears in the following Collection(s)
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.