On the number of periodic reflecting rays in generic domains

1 March 1988

journal article
research article
Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems

Vol. 8 (1) , 81-91
https://doi.org/10.1017/s0143385700004338

Abstract

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.

Keywords

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