S. Brazitikos

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math.MG2026

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position

Silouanos Brazitikos, Christos Pandis

Let $K \subset R^{n}$ be an origin-symmetric convex body and assume that its uniform probability measure is isotropic in the probabilistic normalization, namely \[ \int_K x…

math.MG2026

On Sections of Convex Bodies in John's Position and of Generalised $B_{p}^{n}$ Balls

David Alonso-GutiÃ©rrez, Silouanos Brazitikos, Giorgos Chasapis

We revisit an ingenious argument of K. Ball to provide sharp estimates for the volume of sections of a convex body in John's position. Our technique combines the geometric Brascamp…

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 $R^{n}$ . For a measure $I^¼$ , this quantity, denoted by $I^ (I^¼)$ , is defined as the s…

Geometric Bounds for the Mean Gauge and the Mean Width in Isotropic Position

On Sections of Convex Bodies in John's Position and of Generalised Bpn​ Balls

On the maximal perimeter of isotropic log-concave probability measures

On Sections of Convex Bodies in John's Position and of Generalised $B_{p}^{n}$ Balls