The Falconer distance conjecture in all dimensions
Recorded by the registry's curators from GitHub; the authors did not submit it here.
OpenAI
We resolve the Falconer distance conjecture in every dimension. For every integer \(d\ge2\), a compact subset of \(\R^d\) with Hausdorff dimension greater than \(d/2\) determines a set of Euclidean distances of positive Lebesgue measure.
Claims
SOLUTION CLAIMED
OP-00016 — Falconer's distance set conjecture
Files and sources
- Paper
- math @ adc7f12, build/paper.tex ↗
- Posted on GitHub
- 6 October 2026
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