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Billiards in polygons and homogeneous foliations on C2
Published online by Cambridge University Press: 01 February 2009
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.
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- Copyright © 2008 Cambridge University Press
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