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 2010Show all

2 papers · 1 filter

math.FA2010

The geometry of p-convex intersection bodies

Jaegil Kim, Vladyslav Yaskin, Artem Zvavitch

Busemann's theorem states that the intersection body of an origin-symmetric convex body is also convex. In this paper we provide a version of Busemann's theorem for p-convex bodies…

math.MG2010★ 2 cited

The behavior of iterations of the intersection body operator in a small neighborhood of the unit ball

A. Fish, F. Nazarov, D. Ryabogin +1

The intersection body of a ball is again a ball. So, the unit ball $B_{d} \subset R^{d}$ is a fixed point of the intersection body operator acting on the space of all star-shaped orig…