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arXiv · 2502.18337

Bounding the Local Dimension of the Convolution of Measures

Kevin G. Hare·Joaquin G. Prandi
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Abstract

We study the local dimension of the convolution of two measures. We give conditions for bounding the local dimension of the convolution on the basis of the local dimension of one of them. Moreover, we give a formula for the local dimension of some special points in the support of the convolution.

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Kevin G. Hare, Joaquin G. Prandi. 2025-02-25. Bounding the Local Dimension of the Convolution of Measures. https://arxiv.org/abs/2502.18337

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