47 citations · 313 across the 74 of their papers we have counts for
5 papers · 1 filter
Polygonal symplectic billiards
Peter Albers, Gautam Banhatti, Filip Sadlo +2
In this article, we study polygonal symplectic billiards. We provide new results, some of which are inspired by numerical investigations. In particular, we present several polygons…
Fun Problems in Geometry and Beyond
Boris Khesin, Serge Tabachnikov
We discuss fun problems, vaguely related to notions and theorems of a course in differential geometry. This paper can be regarded as a weekend "treasure chest" supplementing the co…
Four equivalent properties of integrable billiards
Alexei Glutsyuk, Ivan Izmestiev, Serge Tabachnikov
By a classical result of Darboux, a foliation of a Riemannian surface has the Graves property (also known as the strong evolution property) if and only if the foliation comes from…
Two variations on the periscope theorem
Serge Tabachnikov
A spherical periscope in multi-dimensional space is a system of two ideal mirrors that reflect the rays emanating from a fixed point to the rays coming back to the same point, and…
Wire billiards, the first steps
Misha Bialy, Andrey Mironov, Serge Tabachnikov
Wire billiard is defined by a smooth embedded closed curve of non-vanishing curvature in (a wire). For a class of curves, that we call nice wires, the wire billi…