On Falconer’s distance set problem in the plane

Author(s)
Guth, Larry; Iosevich, Alex; Ou, Yumeng; Wang, Hong
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Abstract
© 2019, Springer-Verlag GmbH Germany, part of Springer Nature. If E⊂ R2 is a compact set of Hausdorff dimension greater than 5 / 4, we prove that there is a point x∈ E so that the set of distances { | x- y| } y∈E has positive Lebesgue measure.
Date issued
2020
URI
https://hdl.handle.net/1721.1/136444
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Inventiones Mathematicae
Publisher
Springer Science and Business Media LLC
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