On Falconer’s distance set problem in the plane

Larry Guth, Alex Iosevich, Yumeng Ou, Hong Wang

Type: Article

Publication Date: 2019-08-23

Citations: 83

DOI: https://doi.org/10.1007/s00222-019-00917-x

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arXiv (Cornell University) - View - PDF
DSpace@MIT (Massachusetts Institute of Technology) - View - PDF
Inventiones mathematicae - View

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+	Lectures on Harmonic Analysis	2003	Thomas Wolff
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+	Circular averages and Falconer/Erdös distance conjecture in the plane for random metrics	2004	Steve Hofmann Alex Iosevich
+	On the Hausdorff dimension and capacities of intersections	1985	Pertti Mattila
+	On the Erdős-Volkmann and Katz-Tao ring conjectures	2003	Jean Bourgain
+	Hausdorff dimension and distance sets	1994	Jean Bourgain
+	Spherical averages of Fourier transforms of measures with finite energy; dimensions of intersections and distance sets	1987	Pertti Mattila
+	Near optimal bounds for the Erdős distinct distances problem in high dimensions	2008	József Solymosi Van H. Vu
+	Fourier Transforms Related to Convex Sets	1962	Carl Herz
+ PDF Chat	Distance Measures for Well-Distributed Sets	2007	Alex Iosevich M. Rudnev