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Cite Journal: Nonlinearity |  Publication Date: Oct 15, 2018 |
 Citations: 4 |  License type: iop-standard |
Affiliation: University of Maryland, College Park, University of Toronto
We show that in the space of all convex billiard boundaries, the set of boundaries with rational caustics is dense. More precisely, the set of billiard boundaries with caustics of rotation number 1/q is polynomially sense in the smooth case, and exponentially dense in the analytic case.
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