The continued fraction expansion of α with μ(α) = 3

• Autorzy: Shin-Ichi Yasutomi
• Języki publikacji: EN

Kategorie tematyczne

• 11J06: Markov and Lagrange spectra and generalizations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1998
• Tom: 84
• Numer: 4
• Strony: 337-374

Daty

wydano

1998

otrzymano

1995-06-16

poprawiono

1997-07-23

Twórcy

autor

Shin-Ichi Yasutomi

• General Education, Suzuka College of Technology, Shiroko Suzuka Mie 510-0294, Japan

Bibliografia

• [1] H. Cohn, Some direct limits of primitive homotopy words and of Markoff geodesics, in: Discontinuous Groups and Riemann Surfaces, Univ. of Maryland, 1973, Ann. of Math. Stud. 79, Princeton, 1974, 91-98.
• [2] T. W. Cusick and M. E. Flahive, The Markoff and Lagrange Spectra, Math. Surveys Monographs 30, Amer. Math. Soc., Providence, 1989.
• [3] S. Ito and S. Yasutomi, On continued fraction, substitution and characteristic sequences [nx + y] - [(n-1)x + y], Japan. J. Math. 16 (1990), 287-306.
• [4] W. F. Lunnon and A. B. Pleasants, Characterization of two-distance sequences, J. Austral. Math. Soc. Ser. A 53 (1992), 198-218.
• [5] A. Markoff [A. Markov], Sur les formes quadratiques binaires indéfinies, Math. Ann. 15 (1879), 381-406; II, Math. Ann.. 17 (1880), 379-399.
• [6] A. Markoff [A. Markov], Sur une question de Jean Bernoulli, Math. Ann.. 19 (1882), 27-36.
• [7] M. Morse and G. A. Hedlund, Symbolic dynamics II. Sturmian trajectories, Amer. J. Math 62 (1940), 1-42.
• [8] I. Nakashima, J. Tamura and S. Yasutomi, Modified complexity and *-Sturmian word, preprint, 1997.
• [9] O. Perron, Die Lehre von den Kettenbrüchen I, Teubner, Stuttgart, 1954.
• [10] A. M. Rocket and P. Szüsz, Continued Fractions, World Scientific, 1992.