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Billiards in polygons and homogeneous foliations on C2

Published online by Cambridge University Press:  01 February 2009

FERRÁN VALDEZ
FERRÁN VALDEZ*
Affiliation:
Max-Planck-Institut für Mathematik, Vivatsgasse 7, 53111, Bonn, Germany (email: ferran@mpim-bonn.mpg.de)
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Abstract

In this article we construct a new framework for the study of polygonal billiards. To every polygonal billiard we associate a holomorphic foliation on C2. The dynamics of the billiard ball is linked to the directional flow of the complex vector field defining the associated holomorphic foliation.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 29 , Issue 1 , February 2009 , pp. 255 - 271
Copyright
Copyright © 2008 Cambridge University Press

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