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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Data Availibility
All supporting computations can be found in the following public repository [1]: https://anderson-jack.github.io/lattice-points-gtlambda-graphs
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We thank the referee for careful reading and constructive remarks.
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Anderson, J., Boca, F.P., Cobeli, C. et al. Distribution of angles to lattice points seen from a fast moving observer. Res. number theory 10, 62 (2024). https://doi.org/10.1007/s40993-024-00548-z
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DOI: https://doi.org/10.1007/s40993-024-00548-z