✦ LIBER ✦

Generic Properties of Open Billiards

✍ Scribed by Artur Lopes; R.Daniel Mauldin

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 128 KB
Volume: 205
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1996.5189

No coin nor oath required. For personal study only.

✦ Synopsis

The purpose of this paper is to show that for a dense G set of three smooth ␦ Ž k . convex bodies with nowhere vanishing curvature in the C topology, 2 F k F ϱ , Ž the open billiard obtained form these convex bodies determines a potential the . one that defines the natural escape measure of this billiard which is non-lattice. This result generalizes one of the results obtained in a previous work of A. Lopes w x and R. Markarian 1 .

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