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

2022/01/06 by J. Beck, W. W. L. Chen, Beck, J. +1
Mathematics · Physics and Astronomy · #11K38 #37E35 #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2201.01959

openalex publication_date 2022/01/06 · openalex created_date 2022/04/03 · openalex updated_date 2026/07/28

Abstract

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.

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