Please use this identifier to cite or link to this item: http://hdl.handle.net/10012/5369

 Title: On Convolution Squares of Singular Measures Authors: Chan, Vincent Keywords: convolution squaresingular measureLipschitzHausdorff dimension Approved Date: 25-Aug-2010 Date Submitted: 2010 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 $\alpha-1/2$. Program: Pure Mathematics Department: Pure Mathematics Degree: Master of Mathematics URI: http://hdl.handle.net/10012/5369 Appears in Collections: Electronic Theses and Dissertations (UW) Faculty of Mathematics Theses and Dissertations

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