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math.MG2026
Moment comparisons, Sudakov inequalities and entropy of centroid bodies
Antonios Hmadi, Dimitris-Marios Liakopoulos
Let be an isotropic log-concave random vector in and let be standard Gaussian. Starting from the first moment comparison for gauges, we derive corresponding…
math.MG2026
On the maximal perimeter of isotropic log-concave probability measures
Silouanos Brazitikos, Apostolos Giannopoulos, Antonios Hmadi +1
We study the maximal perimeter constant of isotropic log-concave probability measures on . For a measure , this quantity, denoted by , is defined as the s…