16 citations · 74 across the 31 of their papers we have counts for
34 papers
Remarks on the outer length billiards
Misha Bialy, Serge Tabachnikov
We study outer length billiards; our main results are as follows. We prove 3- and 4-periodic versions of the Ivrii conjecture. We show that, for every period , there exists…
Open problems in billiards and quantitative symplectic geometry
Bernhard Albach, Jean-François Barraud, Misha Bialy +13
This document collects contributions to the Open Problem List in Billiards and Quantitative Symplectic Geometry, compiled following discussions during the workshop ``Billiards and…
Integrable Billiards and Related Topics
Misha Bialy, Andrey E. Mironov
This paper surveys our results on integrable billiards. We consider various models of billiards, including Birkhoff, outer, magnetic, and Minkowski billiards. Also, we discuss wire…
Isoperimetric-type inequalities for Mather's -function of convex billiards
Stefano Baranzini, Misha Bialy, Alfonso Sorrentino
In this article we discuss pointwise spectral rigidity results for several billiard systems (e.g., Birkhoff billiards, symplectic billiards and -th billiards), showing that a si…
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…
Locally Maximizing orbits for multi-dimensional Twist maps and Birkhoff billiards
Misha Bialy, Daniel Tsodikovich
In this work we consider variational properties of exact symplectic twist maps that act on the cotangent bundle of a torus, or on a ball bundle over a sphere. An example of suc…