Sturm sequences: Rauzy graphs and forcing

A. V. Shutov

Čebyševskij sbornik, Tome 8 (2007) no. 2, pp. 128-139.

Bibliographie

[1] Alessandri P., Codages de rotations et basses complexites, Thesis/dissertation, Universite Aix-Marseille II, 1996

[2] Alessandri P., Berthe V., “Three distance theorem and combinatorics on words”, Enseig. Math., 44 (1998), 103–132 | MR | Zbl

[3] Queffelec M., Substitution dynamical systems — spectral analysis, Springer, 1987 | MR | Zbl

[4] Pytheas Fogg N., Substitutions in dynamics, arithmetics and combinatorics, Springer, 2001, 402 pp. | MR

[5] Rauzy G., “Suites a termes dans un alphabet fini”, Sem. de Theorie des Nombres de Bordeaux, 1983, 25-01–25-16 | MR

[6] Van Ravenstein T., “The three gap theorem (Steinhaus conjecture)”, J. Austral. Math. Soc. Ser. A, 45 (1988), 360–370 | DOI | MR | Zbl

[7] Shutov A. V., “New estimates in the Hecke–Kesten problem”, Anal. Probab. Methods Number Theory, eds. E. Manstavičisus et al., TEV, Vilnius, 2007 | MR | Zbl

[8] Shutov A. V., Obobschennye razbieniya Fibonachchi i ikh prilozheniya k teorii chisel, Dis. ... kand. fiz.-mat. nauk, VGPU, Vladimir, 2005

[9] Shutov A. V., “Teorema o trekh dlinakh”, Sbornik trudov molodykh uchenykh VGPU, 5, Izd. “Nerl”, Vladimir, 2005, 156 | MR

[10] Shutov A. V., “Sistemy schisleniya i mnozhestva ogranichennogo ostatka”, Analiticheskie i kombinatornye metody v teorii chisel, Sbornik trudov konferentsii (to appear)