✦ LIBER ✦

Convex billiards

✍ Scribed by Peter M. Gruber

Publisher: Springer
Year: 1990
Tongue: English
Weight: 957 KB
Volume: 33
Category: Article
ISSN: 0046-5755
DOI: 10.1007/bf00183085

No coin nor oath required. For personal study only.

✦ Synopsis

Dedicated to Professor Curt Christian on the occasion of his 70th birthday

AaS'ntACT. This article deals with (partly rather peculiar) properties of typical convex billiards. In particular, convex caustics, trajectories which terminate on the boundary and dense trajectories are investigated.

📜 SIMILAR VOLUMES

Periodic trajectories in 3-dimensional c

Periodic trajectories in 3-dimensional convex billiards

✍ Michael Farber; Serge Tabachnikov 📂 Article 📅 2002 🏛 Springer 🌐 English ⚖ 66 KB

Shortest periodic billiard trajectories

Shortest periodic billiard trajectories in convex bodies

✍ Mohammad Ghomi 📂 Article 📅 2004 🏛 Springer 🌐 English ⚖ 140 KB

Periodic Billiard Trajectories in Smooth

Periodic Billiard Trajectories in Smooth Convex Bodies

✍ Roman N. Karasev 📂 Article 📅 2009 🏛 Springer 🌐 English ⚖ 168 KB

Bounce law at the corners of convex bill

Bounce law at the corners of convex billiards

✍ Alexandre Cabot 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 279 KB

Let C be a convex subset of R n . Given any elastic shock solution x(•) of the di erential inclusion the bounce of the trajectory at a regular point of the boundary of C follows the Descartes law. The aim of the paper is to exhibit the bounce law at the corners of the boundary. For that purpose, we

Complex billiards and soft billiards

✍ R.J. Mondragón; I.C. Percival 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 641 KB

Numerical exploration of a family of str

Numerical exploration of a family of strictly convex billiards with boundary of classC2

✍ Avram Hayli 📂 Article 📅 1996 🏛 Springer 🌐 English ⚖ 514 KB