The cylindrical width of transitive sets
نویسندگان
چکیده
We show that for every 1 ≤ k d/(log d)C, some absolute constant C, finite transitive set of unit vectors in ℝd lies within distance $$O\left({1/\sqrt {\log \left({d/k} \right)}} \right)$$ codimension subspace, and this bound is best possible. This extends a result Ben Green, who proved it = 1.
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ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 2022
ISSN: ['1565-8511', '0021-2172']
DOI: https://doi.org/10.1007/s11856-022-2376-5