3 papers
math.MG2026
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…
math.DS2025
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…
math.DS2025
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…