Bernoulli convolutions and 1D dynamics

Kempton, Thomas Michael William; Persson, Tomas

Show simple item record

Files in this item

Name:: gt_revised.pdf
Size:: 260.0Kb
Format:: PDF

View/Open

Item metadata

dc.contributor.author	Kempton, Thomas Michael William
dc.contributor.author	Persson, Tomas
dc.date.accessioned	2016-10-08T23:33:31Z
dc.date.available	2016-10-08T23:33:31Z
dc.date.issued	2015-10-08
dc.identifier	226674693
dc.identifier	08ea0a97-64fe-4b3e-b820-ff237e34a42c
dc.identifier	84947559445
dc.identifier	000366670600010
dc.identifier.citation	Kempton , T M W & Persson , T 2015 , ' Bernoulli convolutions and 1D dynamics ' , Nonlinearity , vol. 28 , no. 11 , pp. 3921-3934 . https://doi.org/10.1088/0951-7715/28/11/3921	en
dc.identifier.issn	0951-7715
dc.identifier.uri	https://hdl.handle.net/10023/9629
dc.description.abstract	We 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.format.extent	266291
dc.language.iso	eng
dc.relation.ispartof	Nonlinearity	en
dc.subject	Bernoulli convolutions	en
dc.subject	1D dynamics	en
dc.subject	Ergodic theory	en
dc.subject	Transfer operators	en
dc.subject	QA Mathematics	en
dc.subject	T-NDAS	en
dc.subject.lcc	QA	en
dc.title	Bernoulli convolutions and 1D dynamics	en
dc.type	Journal article	en
dc.contributor.sponsor	EPSRC	en
dc.contributor.institution	University of St Andrews. Pure Mathematics	en
dc.identifier.doi	10.1088/0951-7715/28/11/3921
dc.description.status	Peer reviewed	en
dc.date.embargoedUntil	2016-10-08
dc.identifier.grantnumber	EP/K029061/1	en

This item appears in the following Collection(s)

University of St Andrews Research

Show simple item record