On Convolution Squares of Singular Measures
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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| Language: | en |
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2010
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| Online Access: | http://hdl.handle.net/10012/5369 |