Frontière du fractal de Rauzy et système de numération complexe

• Autorzy: Ali Messaoudi
• Języki publikacji: FR
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2000
• Tom: 95
• Numer: 3
• Strony: 195-224

Daty

wydano

2000

otrzymano

1997-10-27

poprawiono

2000-02-01

Twórcy

autor

Ali Messaoudi

• Institut de Mathématiques de Luminy, CNRS-UPR 9016, 163, avenue de Luminy Case 930, 13288 Marseille Cedex 9, France

Bibliografia

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• [3] A. Benedek and R. Panzone, The set of Gaussian fractions, in: Proc. Second Conf. Math. 'Dr. Antonio A. R. Monteiro' (Bahia Blanca, 1993), 11-40.
• [4] M. Berger, Géométrie 2, Cedic/Nathan, 1977.
• [5] F. M. Dekking, Recurrent sets, Adv. Math. 44 (1982), 78-104.
• [6] W. J. Gilbert, Complex numbers with three radix expansions, Canad. J. Math. 34 (1982), 1335-1348.
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• [16] A. Messaoudi, Propriétés arithmétiques et dynamiques du fractal de Rauzy, J. Théor. Nombres Bordeaux 10 (1998), 135-162.
• [17] G. Rauzy, Nombres algébriques et substitutions, Bull. Soc. Math. France 110 (1982), 147-178.
• [18] G. Rote, Sequences with subword complexity 2n, J. Number Theory 46 (1972), 196-213.
• [19] V. Sirvent, Properties of geometrical realisations of substitutions associated to a family of Pisot numbers, Ph.D. thesis, Univ. of Warwick, 1993.
• [20] W. P. Thurston, Groups, tilings, and finite state automata, AMS Colloquium lectures, 1990.