On Falconer’s distance set problem in the plane
Name
1808.09346.pdf
Description
Submitted version
Size
688.74 KB
Format
Adobe PDF
Checksum (MD5)
50af23bbd49b96d7cbb09513ef1f49e8
Author(s)
Guth, Larry
Iosevich, Alex
Ou, Yumeng
Wang, Hong
Date Issued
2020
Journal
Inventiones Mathematicae
Publisher
Springer Science and Business Media LLC
Version
Original manuscript
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/s00222-019-00917-x
