On distance sets, box-counting and Ahlfors-regular sets

On distance sets, box-counting and Ahlfors-regular sets, Discrete Analysis 2017:9, 22 pp. A well-known problem of Falconer, a sort of continuous analogue of the Erdős distinct-distance problem, asks how large the Hausdorff dimension of a Borel subset of $\mathbb R^d$ needs to be before the set of d...

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Bibliographic Details
Main Author: Pablo Shmerkin
Format: Article
Language:English
Published: Diamond Open Access Journals
Series:Discrete Analysis
Online Access:http://discrete-analysis.scholasticahq.com/article/1643-on-distance-sets-box-counting-and-ahlfors-regular-sets.pdf