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Glancing billiards

Published online by Cambridge University Press:  19 September 2008

John N. Mather
John N. Mather
Affiliation:
Institut des Hautes Etudes Scientifiques, 35 Route de Chartres, 91440 Bures-sur-Yvette, France
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Abstract

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Consider the billiard ball problem in an open, convex, bounded region of the plane whose boundary is C2 and has at least one point of zero curvature. Then there are trajectories which come arbitrarily close to being positively tangent to the boundary and also come arbitrarily close to being negatively tangent to the boundary.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 2 , Issue 3-4 , December 1982 , pp. 397 - 403
Copyright
Copyright © Cambridge University Press 1982

References

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