On Convolution Squares of Singular Measures
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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 $\alpha-1/2$.
Cite this work
Vincent Chan (2010). On Convolution Squares of Singular Measures. UWSpace. http://hdl.handle.net/10012/5369