Dimitris-Marios Liakopoulos

activity

20152026

most citedInequalities for the quermassintegrals of sections of convex bodies

1 citations · 2 across the 7 of their papers we have counts for

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math.MG2026

Negative moments of the support function and applications to isotropic convex bodies

Antonios Hmadi, Dimitris-Marios Liakopoulos

We study lower tails of support functions of isotropic convex bodies. An endpoint negative moment estimate, combined with a spherical cap argument, gives polynomial deviation estim…

math.MG2026

Moment comparisons, Sudakov inequalities and entropy of centroid bodies

Antonios Hmadi, Dimitris-Marios Liakopoulos

Let $X$ be an isotropic log-concave random vector in $R^{n}$ and let $G$ be standard Gaussian. Starting from the first moment comparison for gauges, we derive corresponding…