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arXiv · 2605.04362

Persistence of periodic billiard orbits under domain deformation

Samuel Everett
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Abstract

We prove that if a polygon admits a periodic billiard orbit satisfying a certain combinatorial criterion, then there are paths of polygons in parameter space for which every polygon in the path admits a periodic billiard orbit of the same type.

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Samuel Everett. 2026-05-05. Persistence of periodic billiard orbits under domain deformation. https://arxiv.org/abs/2605.04362

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