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On the number of periodic reflecting rays in generic domains

Published online by Cambridge University Press:  19 September 2008

Vesselin M. Petkov  and
Luchezar N. Stojanov
Vesselin M. Petkov
Affiliation:
Institute of Mathematics, Bulgarian Academy of Sciences, 1090 Sofia, Bulgaria
Luchezar N. Stojanov
Affiliation:
Institute of Mathematics, Bulgarian Academy of Sciences, 1090 Sofia, Bulgaria
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Abstract

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We prove that for generic domains Ω ⊂ ℝn with smooth boundary X for every integer s ≥ 2 there is at most a finite number of periodic reflecting rays with just s reflections on X.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 8 , Issue 1 , March 1988 , pp. 81 - 91
Copyright
Copyright © Cambridge University Press 1988

References

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