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Volumn 13, Issue 2, 2001, Pages 371-394

Propriétés combinatoires, ergodiques et arithmétiques de la substitution de tribonacci

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EID: 85009804039     PISSN: 12467405     EISSN: None     Source Type: Journal    
DOI: 10.5802/jtnb.328     Document Type: Article
Times cited : (29)

References (53)
  • 1
    • 0001112168 scopus 로고    scopus 로고
    • Three distances theorems and combinatorics on words
    • P. ALESSANDRI, V. BERTHÉ, Three distances theorems and combinatorics on words. L’Enseignement Mathématique 44 (1998), 103-132.
    • (1998) L’Enseignement Mathématique , vol.44 , pp. 103-132
    • Alessandri, P.1    Berthé, V.2
  • 2
    • 0000787759 scopus 로고
    • Un exemple de semi-conjugaison entre un échange d’intervalles et une rotation sur le tore
    • P. ARNOUX, Un exemple de semi-conjugaison entre un échange d’intervalles et une rotation sur le tore. Bull. Soc. Math. France 116 (1988), 489-500.
    • (1988) Bull. Soc. Math. France , vol.116 , pp. 489-500
    • Arnoux, P.1
  • 3
    • 85009730418 scopus 로고    scopus 로고
    • The scenery flow for geometric structures on the torus: The linear setting
    • à paraître
    • P. ARNOUX, A. FISHER, The scenery flow for geometric structures on the torus: the linear setting. Chinese Annals of Math., à paraître.
    • Chinese Annals of Math
    • Arnoux, P.1    Fisher, A.2
  • 4
    • 0001764604 scopus 로고
    • Représentation géométrique de suites de complexité 2n +1
    • P. ARNOUX, G. RAUZY, Représentation géométrique de suites de complexité 2n +1. Bull. Soc. Math. France 119 (1991), 101-117.
    • (1991) Bull. Soc. Math. France , vol.119 , pp. 101-117
    • Arnoux, P.1    Rauzy, G.2
  • 5
    • 0003150114 scopus 로고    scopus 로고
    • Recent results in sturmian words
    • (Magedburg 1995), World Scientific (96)
    • J. BERSTEL, Recent results in sturmian words. Developments in language theory (Magedburg 1995), World Scientific (96), 13-24.
    • Developments in Language Theory , pp. 13-24
    • Berstel, J.1
  • 6
    • 0037526198 scopus 로고
    • A geometric proof of the enumeration formula for sturmian words
    • J. BERSTEL, M. POCCIOLA, A geometric proof of the enumeration formula for sturmian words. Internat. J. Algebra Comput. 3 (1993), 349-355.
    • (1993) Internat. J. Algebra Comput , vol.3 , pp. 349-355
    • Berstel, J.1    Pocciola, M.2
  • 7
    • 0000591484 scopus 로고    scopus 로고
    • Fréquences des facteurs des suites sturmiennes
    • V. BERTHÉ, Fréquences des facteurs des suites sturmiennes. Theoret. Comp. Sci. 165 (1996), 295-309.
    • (1996) Theoret. Comp. Sci , vol.165 , pp. 295-309
    • Berthé, V.1
  • 8
    • 0000154814 scopus 로고
    • Développement en base
    • A. Bertrand-Mathis, Développement en base θ, répartition modulo un de la suite (Formula Present) langages codés et θ-shift. Bull. Soc. Math. France 114 (1986), 271-323.
    • (1986) Bull. Soc. Math. France , vol.114 , pp. 271-323
    • Bertrand-Mathis, A.1
  • 9
    • 0002963152 scopus 로고    scopus 로고
    • Limit values of the reccurence quotient of sturmian sequencies
    • J. CASSAIGNE, Limit values of the reccurence quotient of sturmian sequencies. Theoret. Comp. Sci. 218 (1999), 3-12.
    • (1999) Theoret. Comp. Sci , vol.218 , pp. 3-12
    • Cassaigne, J.1
  • 10
    • 85009788750 scopus 로고    scopus 로고
    • Communication privée
    • J. CASSAIGNE, Communication privée.
    • Cassaigne, J.1
  • 11
    • 0003878705 scopus 로고
    • Cambridge Tracts in Mathematics and Mathematical Physics 45, Hafner Publishing Co., New York, An introduction to diophantine approximation. Cambridge Tracs in Mathematics and Mathematical physics 45 (1972), Cambridge Univ. Press
    • J. W. S. CASSELS, An introduction to Diophantine approximation. Cambridge Tracts in Mathematics and Mathematical Physics 45, Hafner Publishing Co., New York, 1972. An introduction to diophantine approximation. Cambridge Tracs in Mathematics and Mathematical physics 45 (1972), Cambridge Univ. Press.
    • (1972) An Introduction to Diophantine Approximation
    • Cassels, J.W.S.1
  • 12
    • 0039486620 scopus 로고    scopus 로고
    • Covering numbers of rotations
    • N. CHEKHOVA, Covering numbers of rotations. Theoret. Comput. Sci. 230 (2000), 97-116.
    • (2000) Theoret. Comput. Sci , vol.230 , pp. 97-116
    • Chekhova, N.1
  • 13
    • 85009823972 scopus 로고    scopus 로고
    • Nombres de recouvrement. Thèse de l’Université de la Mediterranée
    • N. CHEKHOVA, Nombres de recouvrement. Thèse de l’Université de la Mediterranée, Aix-Marseille 2, 1997.
    • (1997) Aix-Marseille , vol.2
    • Chekhova, N.1
  • 14
    • 0030459728 scopus 로고    scopus 로고
    • Meilleures approximations d’un élément du tore T2 et géométrie de la suite des multiples de cet élément
    • N. CHEVALLIER, Meilleures approximations d’un élément du tore T2 et géométrie de la suite des multiples de cet élément. Acta Arithmetica 78 (1996), 19-35.
    • (1996) Acta Arithmetica , vol.78 , pp. 19-35
    • Chevallier, N.1
  • 15
    • 0000060895 scopus 로고
    • Sequences with minimal block growth
    • E. M. COVEN, G. A. HEDLUND, Sequences with minimal block growth. Math. Systems Theory 7 (1973), 138-153.
    • (1973) Math. Systems Theory , vol.7 , pp. 138-153
    • Coven, E.M.1    Hedlund, G.A.2
  • 16
    • 0002948206 scopus 로고
    • Recurrent Sets
    • F. M. DEKKING, Recurrent Sets. Adv. Math. 44 (1982), 78-104.
    • (1982) Adv. Math , vol.44 , pp. 78-104
    • Dekking, F.M.1
  • 17
    • 0007211473 scopus 로고
    • On the Thue-Morse measure Acta Univ
    • F. M. DEKKING, On the Thue-Morse measure Acta Univ. Carolin. Math. Phys. 33 (1992), 35-40.
    • (1992) Carolin. Math. Phys , vol.33 , pp. 35-40
    • Dekking, F.M.1
  • 18
    • 0000862749 scopus 로고
    • Transformations with discrete spectrum are stacking transformations
    • A. DEL JUNCO, Transformations with discrete spectrum are stacking transformations. Can. J. Math. 24 (1976), 836-839.
    • (1976) Can. J. Math , vol.24 , pp. 836-839
    • Junco, A.1
  • 19
    • 0010860931 scopus 로고
    • A family of counterexamples in ergodic theory
    • A. DEL JUNCO, A family of counterexamples in ergodic theory. Israel J. Math. 44 (1983), 160-188.
    • (1983) Israel J. Math , vol.44 , pp. 160-188
    • Junco, A.1
  • 21
    • 0002973775 scopus 로고    scopus 로고
    • Systems of finite rank
    • S. FERENCZI, Systems of finite rank. Colloq. Math. 73 (1997), 35-65.
    • (1997) Colloq. Math , vol.73 , pp. 35-65
    • Ferenczi, S.1
  • 22
    • 0001149248 scopus 로고    scopus 로고
    • Transcendence of numbers with a low complexity expansion
    • S. FERENCZI, C. MAUDUIT, Transcendence of numbers with a low complexity expansion. J. Number Theory 47 (1997), 146-161.
    • (1997) J. Number Theory , vol.47 , pp. 146-161
    • Ferenczi, S.1    Mauduit, C.2
  • 23
    • 0000892641 scopus 로고
    • Systems of numeration
    • A. S. FRAENKEL, Systems of numeration. Amer. Math. Monthly 92 (1985), 105-114.
    • (1985) Amer. Math. Monthly , vol.92 , pp. 105-114
    • Fraenkel, A.S.1
  • 25
    • 0000263573 scopus 로고
    • Complex numbers with three radix expansions
    • W. J. GILBERT, Complex numbers with three radix expansions. Can. J. Math. 34 (1982), 1335-1348.
    • (1982) Can. J. Math , vol.34 , pp. 1335-1348
    • Gilbert, W.J.1
  • 26
    • 0004267929 scopus 로고
    • Publications of the Mathematical Society of Japan 3, The Mathematical Society of Japan
    • P. HALMOS, Lectures on ergodic theory. Publications of the Mathematical Society of Japan 3, The Mathematical Society of Japan, 1956.
    • (1956) Lectures on Ergodic Theory
    • Halmos, P.1
  • 28
    • 0001788272 scopus 로고
    • Symbolic dynamics, part II: Sturmian trajectories
    • G. A. HEDLUND, M. MORSE, Symbolic dynamics, part II: Sturmian trajectories. Amer. J. Math. 62 (1940) 1-42.
    • (1940) Amer. J. Math , vol.62 , pp. 1-42
    • Hedlund, G.A.1    Morse, M.2
  • 31
    • 84969590038 scopus 로고
    • Second edition. Addison-Wesley Series in Computer Science and Information Processing. Addison-Wesley Publishing Co., Reading, Mass
    • D. E. KNUTH, E. DONALD, The art of computer Programming, Vol 2. Seminumerical algorithms, Second edition. Addison-Wesley Series in Computer Science and Information Processing. Addison-Wesley Publishing Co., Reading, Mass., 1981.
    • (1981) The Art of Computer Programming, Vol 2. Seminumerical Algorithms
    • Knuth, D.E.1    Donald, E.2
  • 32
    • 84974402990 scopus 로고
    • On the characteristic word of the inhomogeneous Beatty sequence
    • T. KOMATSU, On the characteristic word of the inhomogeneous Beatty sequence. Bull. Austr. Math. Soc. 51 (1995), 337-351.
    • (1995) Bull. Austr. Math. Soc , vol.51 , pp. 337-351
    • Komatsu, T.1
  • 33
    • 0030473640 scopus 로고    scopus 로고
    • A certain power series associated with a Beatty sequence
    • T. KOMATSU, A certain power series associated with a Beatty sequence. Acta Arith. 76 (1996), 109-129.
    • (1996) Acta Arith , vol.76 , pp. 109-129
    • Komatsu, T.1
  • 34
    • 0030215696 scopus 로고    scopus 로고
    • A certain power series and the inhomogeneous continued fraction expansions
    • T. KOMATSU, A certain power series and the inhomogeneous continued fraction expansions. J. Number Th. 59 (1996), 291-312.
    • (1996) J. Number Th , vol.59 , pp. 291-312
    • Komatsu, T.1
  • 35
    • 0001233883 scopus 로고
    • The fractional part of nθ+ ϕ and Beatty sequences
    • T. KOMATSU, The fractional part of nθ+ ϕ and Beatty sequences. J. Théor. Nombres Bordeaux 7 (1995), 387-406.
    • (1995) J. Théor. Nombres Bordeaux , vol.7 , pp. 387-406
    • Komatsu, T.1
  • 36
    • 0028740618 scopus 로고
    • Some combinatorial properties of sturmian words
    • A. DE LUCA, F. MIGNOSI, Some combinatorial properties of sturmian words. Theoret. Comp. Sci. 136 (1994), 361-385.
    • (1994) Theoret. Comp. Sci , vol.136 , pp. 361-385
    • Luca, A.1    Mignosi, F.2
  • 37
    • 0038583281 scopus 로고    scopus 로고
    • Thèse de l’Université de la Mediterranée, Aix-Marseille II
    • A. MESSAOUDI, Autour du fractal de Rauzy. Thèse de l’Université de la Mediterranée, Aix-Marseille II, 1996.
    • (1996) Autour Du Fractal De Rauzy
    • Messaoudi, A.1
  • 38
    • 85009840478 scopus 로고    scopus 로고
    • Propriétés arithmétiques et dynamiques du fractal de Rauzy
    • A. MESSAOUDI, Propriétés arithmétiques et dynamiques du fractal de Rauzy. J. Théor. Nombres Bordeaux 10 (1998), 135-162.
    • (1998) J. Théor. Nombres Bordeaux , vol.10 , pp. 135-162
    • Messaoudi, A.1
  • 39
    • 0038831373 scopus 로고    scopus 로고
    • Frontière du fractal de Rauzy et système de numération complexe
    • A. MESSAOUDI, Frontière du fractal de Rauzy et système de numération complexe. Acta Arith. 95 (2000), 195-224.
    • (2000) Acta Arith , vol.95 , pp. 195-224
    • Messaoudi, A.1
  • 40
    • 0026154395 scopus 로고
    • On the number of factors of Sturmian words
    • F. MIGNOSI On the number of factors of Sturmian words. Theoret. Comp. Sci. 82 (1991), 71-84.
    • (1991) Theoret. Comp. Sci , vol.82 , pp. 71-84
    • Mignosi, F.1
  • 41
    • 0001655744 scopus 로고    scopus 로고
    • Notions de reconnaissabilité pour les substitutions et complexité des suites automatiques
    • B. MOSSÉ, Notions de reconnaissabilité pour les substitutions et complexité des suites automatiques. Bull. Soc. Math. France 124 (1996), 101-108.
    • (1996) Bull. Soc. Math. France , vol.124 , pp. 101-108
    • Mossé, B.1
  • 42
    • 38249010672 scopus 로고
    • Arithmetical properties of a certain power series
    • K. NISHIOKA, J. TAMURA, I. SHIOKAWA, Arithmetical properties of a certain power series. J. Number Th. 42 (1992), 61-87.
    • (1992) J. Number Th , vol.42 , pp. 61-87
    • Nishioka, K.1    Tamura, J.2    Shiokawa, I.3
  • 45
    • 0000066640 scopus 로고
    • Nombres algébriques et substitutions
    • G. RAUZY, Nombres algébriques et substitutions. Bull. Soc. Math. France 110 (1982), 147-178.
    • (1982) Bull. Soc. Math. France , vol.110 , pp. 147-178
    • Rauzy, G.1
  • 47
    • 0000898769 scopus 로고
    • Mots infinis en arithmétique
    • Lecture Notes in Comput. Sci, Springer, Berlin
    • G. RAUZY, Mots infinis en arithmétique. Automata on infinite words, 165-171, Lecture Notes in Comput. Sci. 192, Springer, Berlin, 1985.
    • (1985) Automata on Infinite Words , vol.192 , pp. 165-171
    • Rauzy, G.1
  • 48
    • 0026419176 scopus 로고
    • Fibonacci morphisms and sturmian words
    • P. SÉÉBOLD, Fibonacci morphisms and sturmian words. Theoret. Comp. Sci. 88 (1991), 367-384.
    • (1991) Theoret. Comp. Sci , vol.88 , pp. 367-384
    • Séébold, P.1
  • 50
    • 0030246386 scopus 로고    scopus 로고
    • Relationships between the dynamical systems associated to the Rauzy substitutions
    • V. SIRVENT, Relationships between the dynamical systems associated to the Rauzy substitutions. Theoret. Comp. Sci. 164 (1996), 41-57.
    • (1996) Theoret. Comp. Sci , vol.164 , pp. 41-57
    • Sirvent, V.1
  • 51
    • 0031163851 scopus 로고    scopus 로고
    • On some dynamical subsets of the Rauzy fractal
    • V. SIRVENT, On some dynamical subsets of the Rauzy fractal. Theoret. Comp. Sci. 180 (1997), 363-370.
    • (1997) Theoret. Comp. Sci , vol.180 , pp. 363-370
    • Sirvent, V.1
  • 53
    • 0001460086 scopus 로고
    • Représentation des nombres naturels par une somme de nombres de Fibonacci ou de nombres de Lucas
    • Liège
    • E. ZECKENDORF, Représentation des nombres naturels par une somme de nombres de Fibonacci ou de nombres de Lucas. Bull. Soc. Roy. Sci. Liège 41 (1972), 179-182.
    • (1972) Bull. Soc. Roy. Sci , vol.41 , pp. 179-182
    • Zeckendorf, E.1


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