ListarDepartamento de Matemáticas y Estadística por tema "Dimension logarithmically larger than k"
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On the volumes of simplices determined by a subset of Rd
(Universidad Torcuato Di Tella, 2023)We prove that for 1 ≤ k < d, if E is a Borel subset of Rd of Hausdorff dimension strictly larger than k, the set of (k+1)-volumes determined by k+2 points in E has positive one-dimensional Lebesgue measure. In the case ...