Bounding the Local Dimension of the Convolution of Measures
Dynamical Systems
2025-02-26 v1 Functional Analysis
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.
Keywords
Cite
@article{arxiv.2502.18337,
title = {Bounding the Local Dimension of the Convolution of Measures},
author = {Kevin G. Hare and Joaquin G. Prandi},
journal= {arXiv preprint arXiv:2502.18337},
year = {2025}
}