Ergodic Theory and Dynamical Systems · 1988 · 24 citations · 6 references
Natural SciencesMathematicsPhysicsTopologyWave ReflectionBoundary ReflectionOpen Boundary ProblemPeriodic Boundary ConditionsReflection Rays
Abstract We prove that for generic domains Ω ⊂ ℝ n 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 .
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Stéphane Crépey, Olivier Guéant, David Hobson et al. · HAL (Le Centre pour la Communication Scientifique Directe) · 2011 · 10.2K citations
A. Katok · Ergodic Theory and Dynamical Systems · 1982 · 202 citations · Full text