Zhuravlev, V. G. The arithmetic of two-color rotations of the circle. (Russian) Zbl 1262.37022 Chebyshevskiĭ Sb. 8, No. 2(22), 56-72 (2007). The author discusses the relationship between one-dimensional Fibonacci tilings and dissipative (phase-space contracting) dynamical systems. A detailed account and the proofs are given in [Izv. Math. 73, No. 1, 79–120 (2009); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 73, No. 1, 79–120 (2009; Zbl 1187.37058); One-dimensional Fibonacci tilings and derivatives of two-colour rotations of a circle, Preprint MPIM2004-59, Max-Planck Inst. Math., Bonn, 2004; Izv. Math. 71, No. 2, 307–340 (2007); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 71, No. 2, 89–122 (2007; Zbl 1168.11006)]. Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 37E10 Dynamical systems involving maps of the circle 11B57 Farey sequences; the sequences \(1^k, 2^k, \dots\) 37A45 Relations of ergodic theory with number theory and harmonic analysis (MSC2010) PDF BibTeX XML Cite \textit{V. G. Zhuravlev}, Chebyshevskiĭ Sb. 8, No. 2(22), 56--72 (2007; Zbl 1262.37022) Full Text: Link