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arXiv · 2307.14656

Distribution of angles to lattice points seen from a fast moving observer

Jack Anderson·Florin P. Boca·Cristian Cobeli·Alexandru Zaharescu
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Abstract

We consider a square expanding with constant speed seen from an observer moving away with constant acceleration and study the distribution of angles between rays from the observer towards the lattice points in the square. We prove the existence of the gap distribution as time tends to infinity and provide explicit formulas for the corresponding density function.

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Jack Anderson, Florin P. Boca, Cristian Cobeli, Alexandru Zaharescu. 2023-07-27. Distribution of angles to lattice points seen from a fast moving observer. https://arxiv.org/abs/2307.14656

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