A Furstenberg–Katznelson–Weiss type theorem on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mrow><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>-point configurations in sets of positive density in finite field geometries

Type: Article

Publication Date: 2010-12-26

Citations: 14

DOI: https://doi.org/10.1016/j.disc.2010.10.009

Locations

  • Discrete Mathematics - View
  • arXiv (Cornell University) - View - PDF

Similar Works

Action Title Year Authors
+ A Furstenberg-Katznelson-Weiss type theorem on (d + 1)-point configurations in sets of positive density in finite field geometries 2010 David S. Covert
Derrick Hart
Alex Iosevich
Steven Senger
Ignacio Uriarte-Tuero
+ A Furstenberg-Katznelson-Weiss type theorem on (d + 1)-point configurations in sets of positive density in finite field geometries 2010 David Covert
Derrick Hart
Alex Iosevich
Steven Senger
Ignacio Uriarte-Tuero
+ An analog of the Furstenberg-Katznelson-Weiss theorem on triangles in sets of positive density in finite field geometries 2008 David Covert
Derrick Hart
Alex Iosevich
Ignacio Uriarte-Tuero
+ PDF Chat On a Furstenberg-Katznelson-Weiss Type Theorem over Finite Fields 2011 Lê Anh Vinh
+ On a Furstenberg-Katznelson-Weiss type theorem over finite fields 2008 Lê Anh Vinh
+ Spherical Configurations over Finite Fields 2023 Neil Lyall
Ákos Magyar
Hans Parshall
+ PDF Chat Spherical configurations over finite fields 2020 Neil Lyall
Ákos Magyar
Hans Parshall
+ K-Theory of Hyperplanes 1980 Barry H. Dayton
Charles A. Weibel
+ The extensibility of the $$D(\pm k)$$ D ( ± k ) -triple $$\{k\mp 1,k, 4k\mp 1\}$$ { k ∓ 1 , k , 4 k ∓ 1 } 2016 Appolinaire Dossavi-Yovo
Bo He
Alain Togbé
+ Finite Geometries 2005 Christopher Bradley
+ Gelfand pairs and beyond 2008 Gerrit van Dijk
+ Finite Geometry and Extremal Graph Theory 2022 Anthony Nixon
Sean Prendiville
+ A density theorem for weighted Fekete sets 2015 Yacin Ameur
+ Finite Geometries 1979
+ d-Partition geometries 1978 LynnMargaret Batten
+ PDF Chat Configuration Spaces of Points: A User's Guide 2024 Sadok Kallel
+ Finite point configurations 1997 János Pach
+ An infinitesimal characterization of Gel′fand pairs 1984 Erik G. F. Thomas
+ The Gelfand-Naimark theorem for JB∗-triples 1986 Yaakov Friedman
Bernard Russo
+ The maximal cardinality of $$\mu _{M,D}$$-orthogonal exponentials on the spatial Sierpinski gasket 2019 Qi Wang
Jian‐Lin Li

Works That Cite This (14)

Action Title Year Authors
+ PDF Chat An improvement on the number of simplices in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml1" display="inline" overflow="scroll" altimg="si1.gif"><mml:msubsup><mml:mrow><mml:mi mathvariant="double-struck">F</mml:mi></mml:mrow><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:msubsup></mml:math> 2017 Duc Hiep Pham
Thang Pham
Lê Anh Vinh
+ PDF Chat LONG PATHS IN THE DISTANCE GRAPH OVER LARGE SUBSETS OF VECTOR SPACES OVER FINITE FIELDS 2016 Michael A. Bennett
Jeremy Chapman
David Covert
Derrick Hart
Alex Iosevich
Jonathan Pakianathan
+ PDF Chat Distinct spreads in vector spaces over finite fields 2018 Ben Lund
Thang Pham
Lê Anh Vinh
+ PDF Chat Erdős Type Problems in Modules over Cyclic Rings 2015 Esen Aksoy Yazici
+ Hamming Distances in Vector Spaces over Finite Fields 2019 Esen Aksoy Yazici
+ PDF Chat Three-point configurations determined by subsets of $$\mathbb{F}_q^2$$ via the Elekes-Sharir Paradigm 2014 Michael A. Bennett
Alex Iosevich
Jonathan Pakianathan
+ Pinned Distances in Modules over Finite Valuation Rings 2017 Esen Aksoy Yazici
+ PDF Chat Pinned distance sets, k-simplices, Wolff’s exponent in finite fields and sum-product estimates 2011 Jeremy Chapman
M. Burak Erdoğan
Derrick Hart
Alex Iosevich
Doowon Koh
+ An inverse-type problem for cycles in local Cayley distance graphs 2021 Thang Pham
+ PDF Chat On the Number of Dot Product Chains in Finite Fields and Rings 2022 Vincent Blevins
David L. Crosby
Ethan Lynch
Steven Senger