A. Zvavitch

activity

20042026

most citedA remark on the Mahler conjecture: local minimality of the unit cube

60 citations · 154 across the 30 of their papers we have counts for

collaborators

Showing 2026Show all

3 papers · 1 filter

math.FA2026

Zonoids whose polars are zonoids: the Banach--Mazur distance need not tend to one

Dmitry Ryabogin, Artem Zvavitch

For every $n \geq 2$ , we consider a Gaussian zonoid of revolution $Z_{n}$ arising from works of Vitale and Mathis. We prove that $Z_{n}^{*}$ is also a zonoid and compute the Banach--Mazur…

math.MG2026

Simultaneous Busemann-Petty and Shephard Volume Comparisons

Artem Zvavitch

We study the simultaneous Busemann-Petty and Shephard volume comparison problem: whether comparison of the volumes of all central hyperplane sections and all orthogonal hyperplane…

math.FA2026

Isomorphic Busemann--Petty for arbitrary measures: the sharp order

Alexander Koldobsky, Artem Zvavitch

Let $C_{n}$ be the optimal constant with the following property. For every even, continuous, strictly positive density $f$ on $R^{n}$ and all origin-symmetric convex bodies $K,L\subset…