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- W4298295621 abstract "We prove an extension of Bourgain's theorem on pinned distances in measurable subset of $mathbb{R}^2$ of positive upper density, namely Theorem $1^prime$ in [Bourgain, 1986], to pinned non-degenerate $k$-dimensional simplices in measurable subset of $mathbb{R}^{d}$ of positive upper density whenever $dgeq k+2$ and $k$ is any positive integer." @default.
- W4298295621 created "2022-10-01" @default.
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- W4298295621 date "2015-09-30" @default.
- W4298295621 modified "2023-09-26" @default.
- W4298295621 title "Simplices and sets of positive upper density in $mathbb{R}^d$" @default.
- W4298295621 doi "https://doi.org/10.48550/arxiv.1509.09283" @default.
- W4298295621 hasPublicationYear "2015" @default.
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