Sum-product phenomena for Ahlfors-regular sets
Classical Analysis and ODEs
2025-08-01 v3 Combinatorics
Metric Geometry
Abstract
We utilise the recent work of Orponen to yield a sum-product result for Ahlfors-regular sets. As a corollary, we obtain the fractal analogue of Solymosi's -bound for finite subsets of
Keywords
Cite
@article{arxiv.2501.02131,
title = {Sum-product phenomena for Ahlfors-regular sets},
author = {William O'Regan},
journal= {arXiv preprint arXiv:2501.02131},
year = {2025}
}
Comments
10 pages, previous version contained a gap, see remark 1.6