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Introducing projective billiards

Published online by Cambridge University Press:  02 April 2001

SERGE TABACHNIKOV
SERGE TABACHNIKOV
Affiliation:
Department of Mathematics, UARK, Fayetteville AR 72701, USA and Wolfson College and I. Newton Institute, University of Cambridge, UK
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Abstract

We introduce and study a new class of dynamical systems, the projective billiards, associated with a smooth closed convex plane curve equipped with a smooth field of transverse directions. Projective billiards include the usual billiards along with the dual, or outer, billiards.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 17 , Issue 4 , August 1997 , pp. 957 - 976
Copyright
© 1997 Cambridge University Press

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