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Large Sets Avoiding Rough Patterns

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Publication:3384128
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DOI10.1007/978-3-030-61887-2_4OpenAlexW2927683184MaRDI QIDQ3384128

Jacob Denson, Joshua Zahl, Malabika Pramanik

Publication date: 14 December 2021

Published in: Springer Optimization and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.02337



Mathematics Subject Classification ID

Computer science (68-XX) Number theory (11-XX)


Related Items (4)

Density theorems for anisotropic point configurations ⋮ Large subsets of Euclidean space avoiding infinite arithmetic progressions ⋮ Unnamed Item ⋮ Fourier dimension and avoidance of linear patterns



Cites Work

  • Unnamed Item
  • Full dimensional sets without given patterns
  • On a problem of Erdős on fractal combinatorial geometry
  • Large sets avoiding patterns
  • Sets of large dimension not containing polynomial configurations
  • A \(1\)-dimensional subset of the reals that intersects each of its translates in at most a single point
  • Some connections between Falconer's distance set conjecture and sets of Furstenburg type




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