Antonios Hmadi

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math.FA2026

Dimension-free cotype for isotropic log-concave random polytope spaces

Antonios Hmadi

Let $X_{1}, \dots, X_{N}$ be independent random vectors in $R^{n}$ with common isotropic log-concave distribution $I^¼$ and set $P_{N,n}^Î¼:=\operatorname{conv}\{\pm X_i:1\leqslan…

math.FA2026

Banach-Mazur distances and basis constants of isotropic log-concave random spaces

Apostolos Giannopoulos, Antonios Hmadi

We study the Banach-Mazur distance between random normed spaces generated by centrally symmetric random polytopes associated with isotropic log-concave measures in $R^{n}$ .…