Abstract
We show that if compact set E⊂ Rd has Hausdorff dimension larger than d2+14, where d≥ 4 is an even integer, then the distance set of E has positive Lebesgue measure. This improves the previously best known result towards Falconer’s distance set conjecture in even dimensions.
Original language | English (US) |
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Pages (from-to) | 1215-1231 |
Number of pages | 17 |
Journal | Mathematische Annalen |
Volume | 380 |
Issue number | 3-4 |
DOIs | |
State | Published - Aug 2021 |
ASJC Scopus subject areas
- General Mathematics