Finite Point Configurations in the Plane, Rigidity and Erdős Problems

Alex Iosevich, Jonathan Passant

Type: Article

Publication Date: 2018-11-01

Citations: 4

DOI: https://doi.org/10.1134/s0081543818080114

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Locations

Proceedings of the Steklov Institute of Mathematics - View - PDF
arXiv (Cornell University) - View - PDF

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Works That Cite This (4)

Action	Title	Year	Authors
+	On the number of hinges defined by a point set in $\mathbb R^2$	2019	Misha Rudnev
+	Distribution of pinned distance trees in the plane <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msubsup><mml:mrow><mml:mi mathvariant="double-struck">F</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup></mml:math>	2023	Thang Pham Steven Senger The Dung Tran
+	On Erd\H{o}s Chains in the Plane	2020	Jonathan Passant
+	Note on the Number of Hinges Defined by a Point Set in ℝ2	2020	Misha Rudnev

Works Cited by This (11)

Action	Title	Year	Authors
+	On distinct sums and distinct distances	2003	Gábor Tardos
+ PDF Chat	Combinatorial complexity bounds for arrangements of curves and spheres	1990	Kenneth L. Clarkson Herbert Edelsbrunner Leonidas Guibas Micha Sharir Emo Welzl
+	Near optimal bounds for the Erdős distinct distances problem in high dimensions	2008	József Solymosi Van H. Vu
+ PDF Chat	On the Erdős distinct distances problem in the plane	2014	Larry Guth Nets Hawk Katz
+ PDF Chat	The number of different distances determined by a set of points in the Euclidean plane	1992	Fan Chung Endre Szemerédi W. T. Trotter
+ PDF Chat	The number of different distances determined by n points in the plane	1984	Fan Chung
+ PDF Chat	Distinct Distances in the Plane	2001	József Solymosi Cs. D. Tóth
+	On Sets of Distances of <i>n</i> Points	1970	P. Erdős
+	On The Different Distances Determined By <i>n</i> Points	1952	Leo Moser
+	Rigidity, graphs and Hausdorff dimension	2017	Nikolaos Chatzikonstantinou Alex Iosevich Sevak Mkrtchyan Jonathan Pakianathan