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

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

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 p...

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Veröffentlicht in:Research in number theory 2024-09, Vol.10 (3), Article 62
Hauptverfasser: Anderson, Jack, Boca, Florin P., Cobeli, Cristian, Zaharescu, Alexandru
Format: Artikel
Sprache:eng
Schlagworte:
Acceleration
Mathematics
Mathematics and Statistics
Number Theory
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Beschreibung
Zusammenfassung: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.
ISSN:2522-0160
2363-9555
DOI:10.1007/s40993-024-00548-z