Listar Departamento de Matemáticas y Estadística por autor "Yavicoli, Alexia"

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    • An improved bound for the dimension of (α, 2α)-Furstenberg sets 

      Shmerkin, Pablo; Héra, Kornélia; Yavicoli, Alexia (2022)
      We show that given α e (0, 1) there is a constant c = c α > 0 such that any planar (α, 2α)-Furstenberg set has Hausdorff dimension at least 2α + c. This improves several previous bounds, in particular extending a result ...

    • On the volumes of simplices determined by a subset of Rd 

      Shmerkin, Pablo; Yavicoli, Alexia (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 ...