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dc.contributor.authorKempton, Thomas Michael William
dc.contributor.authorPersson, Tomas
dc.date.accessioned2016-10-08T23:33:31Z
dc.date.available2016-10-08T23:33:31Z
dc.date.issued2015-10-08
dc.identifier.citationKempton , T M W & Persson , T 2015 , ' Bernoulli convolutions and 1D dynamics ' , Nonlinearity , vol. 28 , no. 11 , pp. 3921-3934 . https://doi.org/10.1088/0951-7715/28/11/3921en
dc.identifier.issn0951-7715
dc.identifier.otherPURE: 226674693
dc.identifier.otherPURE UUID: 08ea0a97-64fe-4b3e-b820-ff237e34a42c
dc.identifier.otherScopus: 84947559445
dc.identifier.otherWOS: 000366670600010
dc.identifier.urihttp://hdl.handle.net/10023/9629
dc.description.abstractWe describe a family φλ of dynamical systems on the unit interval which preserve Bernoulli convolutions. We show that if there are parameter ranges for which these systems are piecewise convex, then the corresponding Bernoulli convolution will be absolutely continuous with bounded density. We study the systems φλ and give some numerical evidence to suggest values of λ for which φλ may be piecewise convex.
dc.language.isoeng
dc.relation.ispartofNonlinearityen
dc.rights© 2015, 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 iopscience.iop.org / https://dx.doi.org/10.1088/0951-7715/28/11/3921en
dc.subjectBernoulli convolutionsen
dc.subject1D dynamicsen
dc.subjectErgodic theoryen
dc.subjectTransfer operatorsen
dc.subjectQA Mathematicsen
dc.subjectT-NDASen
dc.subject.lccQAen
dc.titleBernoulli convolutions and 1D dynamicsen
dc.typeJournal articleen
dc.description.versionPostprinten
dc.contributor.institutionUniversity of St Andrews.Pure Mathematicsen
dc.identifier.doihttps://doi.org/10.1088/0951-7715/28/11/3921
dc.description.statusPeer revieweden
dc.date.embargoedUntil2016-10-08


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