2 citations · 3 across the 5 of their papers we have counts for
5 papers
Contractibility of space of symplectically self-polar convex bodies
Mark Berezovik
Symplectically self-polar bodies have been introduced recently. They appeared in the context of Mahler's conjecture and in the context of symplectic outer billiard dynamics. In thi…
Billiards and Hofer's Geometry
Mark Berezovik, Konstantin Kliakhandler, Yaron Ostrover +1
We present a link between billiards in convex plane domains and Hofer's geometry, an area of symplectic topology. For smooth strictly convex billiard tables, we prove that the Hofe…
Outer billiards of symplectically self-polar convex bodies
Mark Berezovik, Misha Bialy
It is known that -smooth strictly convex Radon norms in can be characterized by the property that the outer billiard map, which corresponds to the unit ball of…
Symplectically self-polar polytopes of minimal capacity
Mark Berezovik
In this paper we continue the study of symplectically self-polar convex bodies started in arXiv:2211.14630. We construct symplectically self-polar convex bodies of the minimal Ekel…
Symplectic polarity and Mahler's conjecture
Mark Berezovik, Roman Karasev
We state a conjecture about the volume of symplectically self-polar convex bodies and show that it is equivalent to Mahler's conjecture concerning the volume of a convex body and i…