Product of Simplices and sets of positive upper density in ℝd

DOI10.1017/S0305004117000184zbMath1411.11009arXiv1605.04890MaRDI QIDQ4575317

Ákos Magyar, Neil Lyall

Publication date: 13 July 2018

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.04890

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Length, area, volume, other geometric measure theory (28A75) Erd?s problems and related topics of discrete geometry (52C10) Density, gaps, topology (11B05) Ramsey theory (05D10)

Related Items (8)

A Szemerédi-type theorem for subsets of the unit cube ⋮ Density theorems for anisotropic point configurations ⋮ Weak hypergraph regularity and applications to geometric Ramsey theory ⋮ Distance graphs and sets of positive upper density in \(\mathbb{R}^d\) ⋮ The density of sets containing large similar copies of finite sets ⋮ Incidence problems in harmonic analysis, geometric measure theory, and ergodic theory. Abstracts from the workshop held June 4--9, 2023 ⋮ Simplices over finite fields ⋮ Boxes, extended boxes and sets of positive upper density in the Euclidean space

Cites Work

• A Szemerédi type theorem for sets of positive density in \(\mathbb R^k\)
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