On Convolution Squares of Singular Measures

dc.contributor.author	Chan, Vincent
dc.date.accessioned	2010-08-25 15:09:12 (GMT)
dc.date.available	2010-08-25 15:09:12 (GMT)
dc.date.issued	2010-08-25T15:09:12Z
dc.date.submitted	2010
dc.identifier.uri	http://hdl.handle.net/10012/5369
dc.description.abstract	We prove that if $1 > \alpha > 1/2$, then there exists a probability measure $\mu$ such that the Hausdorff dimension of its support is $\alpha$ and $\mu*\mu$ is a Lipschitz function of class $\alpha-1/2$.	en
dc.language.iso	en	en
dc.publisher	University of Waterloo	en
dc.subject	convolution square	en
dc.subject	singular measure	en
dc.subject	Lipschitz	en
dc.subject	Hausdorff dimension	en
dc.title	On Convolution Squares of Singular Measures	en
dc.type	Master Thesis	en
dc.pending	false	en
dc.subject.program	Pure Mathematics	en
uws-etd.degree.department	Pure Mathematics	en
uws-etd.degree	Master of Mathematics	en
uws.typeOfResource	Text	en
uws.peerReviewStatus	Unreviewed	en
uws.scholarLevel	Graduate	en