Showing items with similar title or keywords.

• On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane 

  Orponen, Tuomas; Shmerkin, Pablo (Duke University Press, 2023)

  Let 0 s 1 and 0 t 2. An .s;t/-Furstenberg set is a set K R2 with the following property: there exists a line set L of Hausdorff dimension dimH L t such that dimH.K \ `/ s for all ` 2 L. We prove that for s 2 .0;1/ and ...

• Integrability of orthogonal projections, and applications to Furstenberg sets 

  Dąbrowski, Damian; Orponen, Tuomas; Villa, Michele (Elsevier BV, 2022)

• Dimension of projection : Marstrand's theorem 

  Pesonen, Sofia (2022)

  Tässä tutkielmassa todistetaan Marstrandin projektiolause käyttäen apuna potentiaaliteoriaa. Projektiolauseen mukaan 2-ulotteisen Borel joukon ortogonaaliprojektion Hausdorffin dimensio on luvun 1 ja kyseisen Borel joukon ...

• Unitarity of Minkowski nonlocal theories made explicit 

  Koshelev, Alexey S.; Tokareva, Anna (American Physical Society (APS), 2021)

  In this work we explicitly show that the perturbative unitarity of analytic infinite derivative scalar field theories can be achieved using a modified prescription for computing scattering amplitudes. The crux of the new ...

• Robustness of the Gaussian concentration inequality and the Brunn–Minkowski inequality 

  Barchiesi, Marco; Julin, Vesa (Springer, 2017)

  We provide a sharp quantitative version of the Gaussian concentration inequality: for every r > 0, the difference between the measure of the r-enlargement of a given set and the r-enlargement of a half-space controls ...