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Deducing Three Gap Theorem from Rauzy-Veech induction
Deduciendo el teorema de las tres brechas vía inducción Rauzy-Veech
DOI :
https://doi.org/10.15446/recolma.v54n1.89777Mots-clés :
Three Gap Theorem, Rauzy-Veech induction, Kronecker sequence, interval exchange transformation, uniform distribution (en)Teorema de las tres brechas, inducción Rauzy-Veech, sucesión de Kronecker, intercambio de intervalos, distribución uniforme (es)
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Références
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CrossRef Cited-by
1. Christian Weiß. (2022). Multi-dimensional Kronecker sequences with a small number of gap lengths. Discrete Mathematics and Applications, 32(1), p.69. https://doi.org/10.1515/dma-2022-0006.
2. Christian Weiß. (2023). Deviation from equidistance for one-dimensional sequences. Aequationes mathematicae, 97(4), p.683. https://doi.org/10.1007/s00010-023-00958-x.
3. Takashi Goda. (2024). One-dimensional quasi-uniform Kronecker sequences. Archiv der Mathematik, 123(5), p.499. https://doi.org/10.1007/s00013-024-02039-0.
4. Christian Weiß, Thomas Skill. (2022). Sequences with almost Poissonian pair correlations. Journal of Number Theory, 236, p.116. https://doi.org/10.1016/j.jnt.2021.07.011.
5. Christian Weiss. (2022). Systems of rank one, explicit Rokhlin towers, and covering numbers. Archiv der Mathematik, 118(2), p.181. https://doi.org/10.1007/s00013-021-01683-0.
6. Christian Weiß. (2022). Some connections between discrepancy, finite gap properties, and pair correlations. Monatshefte für Mathematik, 199(4), p.909. https://doi.org/10.1007/s00605-022-01742-w.
7. Christian Weiss. (2021). Многомерные последовательности Кронекера с малым числом длин промежутков. Дискретная математика, 33(4), p.11. https://doi.org/10.4213/dm1683.
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