Falconer distance problem, additive energy and Cartesian products

Alex Iosevich, Bochen Liu

Type: Article

Publication Date: 2016-01-01

Citations: 7

DOI: https://doi.org/10.5186/aasfm.2016.4135

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Locations

Annales Academiae Scientiarum Fennicae Mathematica - View
arXiv (Cornell University) - View - PDF

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Action	Title	Year	Authors
+	Pinned distance problem, slicing measures and local smoothing estimates	2017	Alex Iosevich Bochen Liu
+ PDF Chat	Hausdorff dimension and projections related to intersections	2022	Pertti Mattila
+ PDF Chat	New Bounds on the Dimensions of Planar Distance Sets	2019	Tamàs Keleti Pablo Shmerkin
+ PDF Chat	Hausdorff Dimension, Projections, Intersections, and Besicovitch Sets	2019	Pertti Mattila
+ PDF Chat	Pinned distance problem, slicing measures, and local smoothing estimates	2018	Alex Iosevich Bochen Liu
+ PDF Chat	Falconer type functions in three variables	2023	Doowon Koh Thang Pham Chun‐Yen Shen
+ PDF Chat	Rigidity, Graphs and Hausdorff Dimension	2021	Nikolaos Chatzikonstantinou Alex Iosevich Sevak Mkrtchyan Jonathan Pakianathan

Works Cited by This (8)

Action	Title	Year	Authors
+	Lectures on Harmonic Analysis	2003	Thomas Wolff
+	None	1999	Thomas Wolff
+	Spherical averages of Fourier transforms of measures with finite energy; dimensions of intersections and distance sets	1987	Pertti Mattila
+ PDF Chat	On the Hausdorff dimensions of distance sets	1985	K. J. Falconer
+	None	2005	M. Burak Erdoğan
+ PDF Chat	A group-theoretic viewpoint on Erdős–Falconer problems and the Mattila integral	2015	Allan Greenleaf Alex Iosevich Bochen Liu Eyvindur A. Palsson
+ PDF Chat	Spectral gaps, additive energy, and a fractal uncertainty principle	2016	Semyon Dyatlov Joshua Zahl
+	Geometry of Sets and Measures in Euclidean Spaces	1995	Pertti Mattila