Distance graphs and sets of positive upper density in ℝd

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Cite
Lyall, Neil, and Ákos Magyar. “Distance Graphs and Sets of Positive Upper Density in ℝd”. Analysis &Amp; PDE, vol. 13, no. 3, 2020, pp. 685-00, https://doi.org/10.2140/apde.2020.13.685.
Lyall, N., & Magyar, Ákos. (2020). Distance graphs and sets of positive upper density in ℝd. Analysis &Amp; PDE, 13(3), 685-700. https://doi.org/10.2140/apde.2020.13.685
Lyall N, Magyar Ákos. Distance graphs and sets of positive upper density in ℝd. Analysis & PDE. 2020;13(3):685-700.
Refrences
Title Journal Journal Categories Citations Publication Date
Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals 1993
10.1007/BF02789447
10.1017/CBO9780511755149
On sets of integers containing k elements in arithmetic progression Acta Arithmetica
  • Science: Mathematics
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10.1017/S0305004117000184
Citations
Title Journal Journal Categories Citations Publication Date
Simplices in thin subsets of Euclidean spaces Analysis & PDE 2023
The density of sets containing large similar copies of finite sets Journal d'Analyse Mathématique
  • Science: Mathematics
 2022
Weak hypergraph regularity and applications to geometric Ramsey theory

 Transactions of the American Mathematical Society, Series B
  • Science: Mathematics
 6 2022
A Szemerédi-type theorem for subsets of the unit cube Analysis & PDE 2 2022
Boxes, extended boxes and sets of positive upper density in the Euclidean space

 Mathematical Proceedings of the Cambridge Philosophical Society
  • Science: Mathematics
 2021
Citations Analysis
Category Category Repetition
Science: Mathematics6
Technology: Engineering (General). Civil engineering (General)1
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods1
The category Science: Mathematics 6 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Distances and trees in dense subsets of ℤd and was published in 2020. The most recent citation comes from a 2023 study titled Simplices in thin subsets of Euclidean spaces. This article reached its peak citation in 2022, with 3 citations. It has been cited in 7 different journals, 14% of which are open access. Among related journals, the Analysis & PDE cited this research the most, with 2 citations. The chart below illustrates the annual citation trends for this article.
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