8 citations · 17 across the 9 of their papers we have counts for
4 papers · 1 filter
Integrable Outer billiards and rigidity
Michael Bialy
In the present paper we introduce a new generating function for outer billiards in the plane. Using this generating function, we prove the following rigidity result: if the vicinit…
Mather -function for ellipses and rigidity
Michael Bialy
The goal of the first part of this note is to get an explicit formula for rotation number and Mather -function for ellipse. This is done here with the help of non-standard gener…
On Totally integrable magnetic billiards on constant curvature surface
Michael, Bialy
We consider billiard ball motion in a convex domain of a constant curvature surface influenced by the constant magnetic field. We prove that if the billiard map is totally integrab…
Maximizing orbits for higher dimensional convex billiards
Michael Bialy
The main result of this paper is, that for convex billiards in higher dimensions, in contrast with 2D case, for every point on the boundary and for every there always exist bil…