Geodesic
Self-similarity of some sequences of points on a circle
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 19, Tome 302 (2003), pp. 81-95 Cet article a éte moissonné depuis la source Math-Net.Ru

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The self-similarity and periodicity properties are proved for the derivatives $d^mO_0$ of the sequences $O_0$, which are obtained by shifting the unit circle by the arc $\tau_2=1+\sqrt2=[(2)]$. 
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     title = {Self-similarity of some sequences of points on a~circle},
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N. N. Manuylov. Self-similarity of some sequences of points on a circle. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 19, Tome 302 (2003), pp. 81-95. http://geodesic.mathdoc.fr/item/ZNSL_2003_302_a5/

[1] V. G. Zhuravlev, “Odnomernye razbieniya Fibonachchi”, Izv. RAN, ser. matem., 2003 (to appear)

[2] Hyeong-Chai Jeong, Eunsang Kim, Chang-Yeong Lee, “Noncommutative torus from Fibonacci chains via foliation”, J. Phys. A, 34:31 (2001), R1–R19 | DOI | MR | Zbl

[3] N. N. Manuilov, Rekurrentnye samopodobnye razbieniya, Chebyshevskii sbornik, 4, no. 2, Tula, 2003 | MR | Zbl

[4] N. N. Manuilov, “Nepreryvnyi vetvyaschiisya $B$-protsess i sobstvennye razbieniya okruzhnosti”, Trudy XXV Konferentsii molodykh uchenykh mekh.-mat. fak. MGU, MGU, M., 2003

[5] N. N. Manuilov, “Osnovnye svoistva serebryanogo secheniya $1+\sqrt{2}$ i nekotorye chislovye posledovatelnosti, emu sootvetstvuyuschie”, Sbornik trudov molodykh uchenykh, no. 3, Vladimir, 2003 | MR