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On Convolution Squares of Singular Measures

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Date

2010-08-25T15:09:12Z

Authors

Chan, Vincent

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University of Waterloo

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 $\alpha-1/2$.

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Keywords

convolution square, singular measure, Lipschitz, Hausdorff dimension

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http://hdl.handle.net/10012/5369

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Theses
Pure Mathematics