Add to ORKGWe prove a conjecture of Kenyon and Smillie concerning the nonexistence of acute rational-angled triangles with the lattice property.We prove a conjecture of Kenyon and Smillie concerning the nonexistence of acute rational-angled triangles with the lattice property.A
In this paper we investigate the existence of closed billiard trajectories in not necessarily smooth...
We present a class of nonconvex billiards with a boundary composed of arcs of confocal conics which ...
In this note, we examine the dynamics of billiards on polygonal tables. This is intended to be neith...
We prove a conjecture of Kenyon and Smillie concerning the nonexistence of acute rational-angled tri...
Let Sǫ denote the set of Euclidean triangles whose two small angles are within ǫ radians of π6 and π...
We prove that any sufficiently small perturbation of an isosceles triangle has a peri-odic billiard ...
We give a rigorous computer-assisted proof that a triangle has a periodic billiard path provided all...
Abstract. We give a new proof for the directional billiard complex-ity in the cube, which was conjec...
47 pages, 18 figuresInternational audienceConsider a periodic tiling of a plane by equal triangles o...
We study the connection of Heronian triangles with the problem of the existence of rational cuboids....
We classify when local instability of orbits of closeby points can occur for billiards in two dimens...
For a special shaped rational polygonal billiard table we consider a dynamical system generated by t...
Graduation date: 2009We identify all translation covers among triangular billiards surfaces. Our mai...
International audienceThe famous conjecture of V.Ya.Ivrii (1978) says that in every bil-liard with i...
Let P be a simple, closed polygon in the plane, all interior angles of which are rational multiples ...
In this paper we investigate the existence of closed billiard trajectories in not necessarily smooth...
We present a class of nonconvex billiards with a boundary composed of arcs of confocal conics which ...
In this note, we examine the dynamics of billiards on polygonal tables. This is intended to be neith...
We prove a conjecture of Kenyon and Smillie concerning the nonexistence of acute rational-angled tri...
Let Sǫ denote the set of Euclidean triangles whose two small angles are within ǫ radians of π6 and π...
We prove that any sufficiently small perturbation of an isosceles triangle has a peri-odic billiard ...
We give a rigorous computer-assisted proof that a triangle has a periodic billiard path provided all...
Abstract. We give a new proof for the directional billiard complex-ity in the cube, which was conjec...
47 pages, 18 figuresInternational audienceConsider a periodic tiling of a plane by equal triangles o...
We study the connection of Heronian triangles with the problem of the existence of rational cuboids....
We classify when local instability of orbits of closeby points can occur for billiards in two dimens...
For a special shaped rational polygonal billiard table we consider a dynamical system generated by t...
Graduation date: 2009We identify all translation covers among triangular billiards surfaces. Our mai...
International audienceThe famous conjecture of V.Ya.Ivrii (1978) says that in every bil-liard with i...
Let P be a simple, closed polygon in the plane, all interior angles of which are rational multiples ...
In this paper we investigate the existence of closed billiard trajectories in not necessarily smooth...
We present a class of nonconvex billiards with a boundary composed of arcs of confocal conics which ...
In this note, we examine the dynamics of billiards on polygonal tables. This is intended to be neith...