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math.MG2026
Geometry of the subgaussian body of an isotropic convex body
Apostolos Giannopoulos, Minas Pafis, Natalia Tziotziou
For a centered convex body , let denote the symmetric convex body whose support function is given by the -norms of linear functionals on . Th…
math.MG2025
On the deterministic interior body of random polytopes
Minas Pafis, Natalia Tziotziou
Let be a sequence of independent copies of a random vector in . We revisit the question to determine the asymptotic shape of the random p…