Bounding the Local Dimension of the Convolution of Measures

Fuente: arXiv
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Autores principales: Hare, Kevin G., Prandi, Joaquin G.
Formato: Preprint
Publicado: 2025
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author Hare, Kevin G.
Prandi, Joaquin G.
author_facet Hare, Kevin G.
Prandi, Joaquin G.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2502_18337
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Bounding the Local Dimension of the Convolution of Measures
Hare, Kevin G.
Prandi, Joaquin G.
Dynamical Systems
Functional Analysis
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.
title Bounding the Local Dimension of the Convolution of Measures
topic Dynamical Systems
Functional Analysis
url https://arxiv.org/abs/2502.18337