Invertible substitutions and Sturmian sequences
Tài liệu tham khảo
P. Arnoux, Sturmian sequences, CIMPA Summer School Lectures, 1996
Berstel, 1996, Recent results on Sturmian words, vol. II, 13
V. Berthé, S. Ferenczi, C. Mauduit, A. Siegel (Eds.), Substitutions in Dynamics, Arithmetics and Combinatorics, Institut de Mathématiques de Luminy, Marseille
W.T. Cao, Z.Y. Wen, Some properties of the factors of Sturmian sequences (preprint)
S. Ferenczi, Symbolic Dynamics, CIMPA Summer School Lectures, 1996
Fraenkel, 1978, Determination of ⌊nθ⌋ by its sequence of differences, Canad. Math. Bull., 21, 441, 10.4153/CMB-1978-077-0
Hedlund, 1940, Sturmian sequences, Amer. J. Math., 61, 1
Khintchine, 1963
Lothaire, 1983, Combinatorics on words, vol. 17
Peyrière, 1993, Polynômes associés aux endomorphismes de groupe libres, L’enseignement mathématique, 39, 153
Queffelec, 1987, Substitution Dynamical Systems—Spectral Analysis, vol. 1294
Séébold, 1991, Fibonacci morphisms and Sturmian words, Theoret. Comput. Sci., 88, 367, 10.1016/0304-3975(91)90383-D
Stolarsky, 1976, Beatty sequences, continued fractions, and certain shift operators, Canad. Math. Bull., 19, 473, 10.4153/CMB-1976-071-6
Z.X. Wen, Z.Y. Wen, Some studies of factors of infinite words generated by invertible substitution, 5th Conference on Formal Power Series and Algebraic Combinatorics, Florence, 1993, pp. 455–466
Wen, 1994, Local isomorphisms of invertible substitutions, C. R. Acad. Sci. Paris, t.318, 299
S.-I. Yasutomi, On Sturmian sequences which are invariant under some substitutions, Number Theory and its Applications (Kyoto, 1997), Kluwer Acad. Publ., Dordrecht, pp. 347–373. Dev. Math. 2 (1999)
