Billiards in polygons and homogeneous foliations on C2-Reference-Cited by-同舟云学术

Billiards in polygons and homogeneous foliations on C2

Published:2009-02 Issue:1 Volume:29 Page:255-271
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

VALDEZ FERRÁN

Abstract

AbstractIn 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.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

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