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arXiv:2201.01959 [math.DS]AbstractReferencesReviewsResources

Super-fast spreading of billiard orbits in rational polygons and geodesics on translation surfaces

J. Beck, W. W. L. Chen

Published 2022-01-06, updated 2024-03-26Version 2

In this paper, we show that billiard orbits in rational polygons and geodesics on translation surfaces exhibit super-fast spreading, an optimal time-quantitative majority property about the corresponding linear flow that implies uniformity in almost every direction.

Comments: 32 pages, 4 figures
Categories: math.DS
Subjects: 11K38, 37E35
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