International audienceThere is an open set of right triangles such that for each irrational triangle in this set (i) periodic billiards orbits are dense in the phase space, (ii) there is a unique nonsingular perpendicular billiard orbit which is not periodic, and (iii) the perpendicular periodic orbits fill the corresponding invariant surface
We prove some recent experimental observations of Dan Reznik concerning periodic billiard orbits in ...
In this expository article we will describe some elementary properties of billiards and Poncelet map...
This paper had a serious error. In fixing the error the emphasis of the paper has changed completely...
International audienceWe consider the billiard map inside a polyhedron. We give a condition for the ...
We consider an outer billiard around a Reulaux triangle. We prove the existence of infinitely many p...
Abstract. We show that the midpoint of each periodic perpen-dicular beam hits the right-angle vertex...
47 pages, 18 figuresInternational audienceConsider a periodic tiling of a plane by equal triangles o...
Let Sǫ denote the set of Euclidean triangles whose two small angles are within ǫ radians of π6 and π...
A billiard is a map that describes the motion of a ball without mass in a closed region on the plane...
15 pages, 3 figures Journal: Forum geometricorum Volume 8 (2008), pages 107-120We consider the billi...
We study dissipative polygonal outer billiards, i.e. outer billiards about convex polygons with a co...
This survey is based on a series of talks I gave at the conference ``Dynamical systems and diophanti...
In our recent paper [1], we studied periodic billiard trajectories in a regular pentagon and in the ...
We give a rigorous computer-assisted proof that a triangle has a periodic billiard path provided all...
Uma órbita bilhar em um triângulo é uma poligonal cujos segmentos começam e terminam nos lados do tr...
We prove some recent experimental observations of Dan Reznik concerning periodic billiard orbits in ...
In this expository article we will describe some elementary properties of billiards and Poncelet map...
This paper had a serious error. In fixing the error the emphasis of the paper has changed completely...
International audienceWe consider the billiard map inside a polyhedron. We give a condition for the ...
We consider an outer billiard around a Reulaux triangle. We prove the existence of infinitely many p...
Abstract. We show that the midpoint of each periodic perpen-dicular beam hits the right-angle vertex...
47 pages, 18 figuresInternational audienceConsider a periodic tiling of a plane by equal triangles o...
Let Sǫ denote the set of Euclidean triangles whose two small angles are within ǫ radians of π6 and π...
A billiard is a map that describes the motion of a ball without mass in a closed region on the plane...
15 pages, 3 figures Journal: Forum geometricorum Volume 8 (2008), pages 107-120We consider the billi...
We study dissipative polygonal outer billiards, i.e. outer billiards about convex polygons with a co...
This survey is based on a series of talks I gave at the conference ``Dynamical systems and diophanti...
In our recent paper [1], we studied periodic billiard trajectories in a regular pentagon and in the ...
We give a rigorous computer-assisted proof that a triangle has a periodic billiard path provided all...
Uma órbita bilhar em um triângulo é uma poligonal cujos segmentos começam e terminam nos lados do tr...
We prove some recent experimental observations of Dan Reznik concerning periodic billiard orbits in ...
In this expository article we will describe some elementary properties of billiards and Poncelet map...
This paper had a serious error. In fixing the error the emphasis of the paper has changed completely...
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