Goda, Takashi One-dimensional quasi-uniform Kronecker sequences. (English) Zbl 07939431 Arch. Math. 123, No. 5, 499-505 (2024). Reviewer: Basma Ammous (Sfax) MSC: 11J71 11K36 65D12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Badziahin, Dmitry; Shallit, Jeffrey Badly approximable numbers, Kronecker’s theorem, and diversity of Sturmian characteristic sequences. (English) Zbl 1519.11041 J. Théor. Nombres Bordx. 35, No. 1, 1-15 (2023). Reviewer: Mykhaylo Pahirya (Uzhhorod) MSC: 11J70 11A55 11J20 37B10 11J71 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Taha, Diaaeldin An extension of the three gap theorem to interval exchange transformations. (English) Zbl 1515.37037 Int. Math. Res. Not. 2023, No. 4, 2996-3003 (2023). MSC: 37E15 37E05 × Cite Format Result Cite Review PDF Full Text: DOI
Dasgupta, Aneesh; Roeder, Roland Symmetries of the three-gap theorem. (English) Zbl 1517.11084 Am. Math. Mon. 130, No. 3, 279-284 (2023). Reviewer: Manuel Hauke (Graz) MSC: 11J71 11J04 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Das, Akshat; Haynes, Alan A three gap theorem for adeles. (English) Zbl 1516.11076 Ramanujan J. 60, No. 1, 13-25 (2023). Reviewer: Oleg Karpenkov (Liverpool) MSC: 11J71 11S82 37A44 37P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Haynes, Alan; Marklof, Jens A five distance theorem for Kronecker sequences. (English) Zbl 1511.11067 Int. Math. Res. Not. 2022, No. 24, 19747-19789 (2022). Reviewer: Manuel Hauke (Graz) MSC: 11J71 37A44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Weiß, Christian Some connections between discrepancy, finite gap properties, and pair correlations. (English) Zbl 1507.11066 Monatsh. Math. 199, No. 4, 909-927 (2022). Reviewer: Anton Shutov (Vladimir) MSC: 11K38 11K31 11J71 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dasher, A. Suki; Hermida, A.; Wong, Tian An The three gap theorem and periodic functions. (English) Zbl 1493.11022 Integers 22, Paper A21, 11 p. (2022). MSC: 11B05 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Haynes, Alan; Ramirez, Juan J. Higher-dimensional gap theorems for the maximum metric. (English) Zbl 1483.11143 Int. J. Number Theory 17, No. 7, 1665-1670 (2021). Reviewer: Michael Coons (Callaghan) MSC: 11J71 37A44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Weiss, Christian Deducing three gap theorem from Rauzy-Veech induction. (English) Zbl 1457.11102 Rev. Colomb. Mat. 54, No. 1, 31-37 (2020). MSC: 11J71 11K31 37A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Haynes, Alan; Marklof, Jens Higher dimensional Steinhaus and Slater problems via homogeneous dynamics. (English) Zbl 1475.11130 Ann. Sci. Éc. Norm. Supér. (4) 53, No. 2, 537-557 (2020). Reviewer: Oto Strauch (Bratislava) MSC: 11J13 60D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Polanco, Geremías; Schultz, Daniel; Zaharescu, Alexandru Continuous distributions arising from the three gap theorem. (English) Zbl 1396.11041 Int. J. Number Theory 12, No. 7, 743-1754 (2016). MSC: 11B57 11K36 11J71 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rampersad, Narad; Rigo, Michel; Salimov, Pavel A note on abelian returns in rotation words. (English) Zbl 1295.68179 Theor. Comput. Sci. 528, 101-107 (2014). Reviewer: Panayiotis Vlamos (Athens) MSC: 68R15 × Cite Format Result Cite Review PDF Full Text: DOI
Carey, Norman; Clampitt, David Two theorems concerning rational approximations. (English) Zbl 1264.00018 J. Math. Music 6, No. 1, 61-66 (2012); addendum ibid. 11, No. 1, 61-63 (2017). MSC: 00A65 × Cite Format Result Cite Review PDF Full Text: DOI
Porubský, Štefan; Strauch, Oto Binary sequences generated by sequences \(\{n\alpha\}\), \(n=1,2,\dots\). (English) Zbl 1240.11084 Publ. Math. Debr. 77, No. 1-2, 139-170 (2010). Reviewer: Jean-Paul Allouche (Paris) MSC: 11K45 11B83 × Cite Format Result Cite Review PDF
Don, Henk On the distribution of the distances of multiples of an irrational number to the nearest integer. (English) Zbl 1247.11096 Acta Arith. 139, No. 3, 253-264 (2009). Reviewer: Roman Urban (Wrocław) MSC: 11K06 11B83 11J71 × Cite Format Result Cite Review PDF Full Text: DOI
Biringer, Ian; Schmidt, Benjamin The three gap theorem and Riemannian geometry. (English) Zbl 1153.53025 Geom. Dedicata 136, 175-190 (2008). MSC: 53C22 37E10 37E99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Groza, Ghiocel; Vâjâitu, Marian; Zaharescu, Alexandru Primitive arcs on elliptic curves. (English) Zbl 1102.11037 Rev. Roum. Math. Pures Appl. 50, No. 1, 31-38 (2005). Reviewer: Marius Iosifescu (Bucureşti) MSC: 11K06 11B05 × Cite Format Result Cite Review PDF
Cobeli, C.; Groza, G.; Vâjâitu, M.; Zaharescu, A. Generalization of a theorem of Steinhaus. (English) Zbl 1006.11040 Colloq. Math. 92, No. 2, 257-266 (2002). Reviewer: Michael Drmota (Wien) MSC: 11K06 11B05 × Cite Format Result Cite Review PDF Full Text: DOI
Baadhio, Randy A. Quantum topology and global anomalies. (English) Zbl 0914.58044 Advanced Series in Mathematical Physics. 23. Singapur: World Scientific. xiv, 270 p. (1996). Reviewer: Katharina Habermann (Leipzig) MSC: 58Z05 81T40 81T50 58-02 81-02 30F60 53Z05 57N10 57M50 14H55 × Cite Format Result Cite Review PDF
Komatsu, Takao Results on fractional parts of linear functions of \(n\) and applications to Beatty sequences. (English) Zbl 0891.11011 Bull. Aust. Math. Soc. 52, No. 2, 349-351 (1995). MSC: 11B83 11J70 11A55 11J82 11J85 11J91 × Cite Format Result Cite Review PDF Full Text: DOI
Tognetti, Keith; Winley, Graham The uniform emergence of points on a circle. (English) Zbl 0841.11004 Green, David (ed.) et al., Complex systems: from biology to computation. Amsterdam: IOS Press. 162-172 (1993). Reviewer: Š.Porubský (Praha) MSC: 11B05 11B85 92C15 52C20 × Cite Format Result Cite Review PDF
van Ravenstein, Tony; Winley, Graham; Tognetti, Keith Characteristics and the three gap theorem. (English) Zbl 0709.11011 Fibonacci Q. 28, No. 3, 204-214 (1990). Reviewer: Ian Anderson (Glasgow) MSC: 11K06 11A55 11B83 × Cite Format Result Cite Review PDF Full Text: Link
van Ravenstein, Tony Optimal spacing of points on a circle. (English) Zbl 0665.10009 Fibonacci Q. 27, No. 1, 18-24 (1989). Reviewer: M.D.Hendy MSC: 11B75 11B37 × Cite Format Result Cite Review PDF
van Ravenstein, Tony; Tognetti, Keith; Winley, Graham Golden hops around a circle. (English) Zbl 0587.10002 Fibonacci numbers and their applications, Pap. 1st Int. Conf., Patras/Greece 1984, Math. Appl., D. Reidel Publ. Co. 28, 293-304 (1986). Reviewer: R.F.Tichy MSC: 11B37 11B39 × Cite Format Result Cite Review PDF