Articles with "falconer distance" as a keyword



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On Falconer’s distance set problem in the plane

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Published in 2019 at "Inventiones mathematicae"

DOI: 10.1007/s00222-019-00917-x

Abstract: If $$E \subset \mathbb {R}^2$$ E ⊂ R 2 is a compact set of Hausdorff dimension greater than 5 / 4, we prove that there is a point $$x \in E$$ x ∈ E so that the… read more here.

Keywords: set problem; falconer distance; problem plane; distance set ... See more keywords