메뉴 건너뛰기




Volumn 34, Issue 6, 2001, Pages 545-564

Directed graphs and substitutions

Author keywords

[No Author keywords available]

Indexed keywords

GRAPH THEORY;

EID: 0035564102     PISSN: 14324350     EISSN: 14330490     Source Type: Journal    
DOI: 10.1007/s00224-001-1038-y     Document Type: Article
Times cited : (22)

References (33)
  • 2
    • 0000787759 scopus 로고
    • Un exemple de semi-conjugaison entre un échange d'intervalles et une translation sur le tore
    • P. Arnoux, Un exemple de semi-conjugaison entre un échange d'intervalles et une translation sur le tore, Bull. Soc. Math. France, 116(4) (1988), 489-500.
    • (1988) Bull. Soc. Math. France , vol.116 , Issue.4 , pp. 489-500
    • Arnoux, P.1
  • 5
    • 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(2) (1991), 199-215.
    • (1991) Bull. Soc. Math. France , vol.119 , Issue.2 , pp. 199-215
    • Arnoux, P.1    Rauzy, G.2
  • 6
    • 85037270685 scopus 로고    scopus 로고
    • Private communication
    • M. Boshernitzan, Private communication.
    • Boshernitzan, M.1
  • 8
    • 85037262666 scopus 로고    scopus 로고
    • Automate des préfixes-suffixes associé à une substitution primitive
    • preprint. To appear
    • V. Canterini, A. Siegel, Automate des préfixes-suffixes associé à une substitution primitive, preprint (1999). To appear in J. Th. Nombres Bordeux.
    • (1999) J. Th. Nombres Bordeux
    • Canterini, V.1    Siegel, A.2
  • 9
    • 23044529877 scopus 로고    scopus 로고
    • Geometric representations of Pisot substitutions
    • V. Canterini, A. Siegel, Geometric representations of Pisot substitutions, Trans. Amer. Math. Soc., 353 (2001), 5121-5144..
    • (2001) Trans. Amer. Math. Soc. , vol.353 , pp. 5121-5144
    • Canterini, V.1    Siegel, A.2
  • 10
    • 0001488020 scopus 로고
    • The spectrum of dynamical systems arising from substitutions of constant length
    • F. M. Dekking, The spectrum of dynamical systems arising from substitutions of constant length, Z. Wahrsch. Verw. Gebiete, 41 (1978), 221-239.
    • (1978) Z. Wahrsch. Verw. Gebiete , vol.41 , pp. 221-239
    • Dekking, F.M.1
  • 11
    • 0002948206 scopus 로고
    • Recurrent sets
    • F. M. Dekking, Recurrent sets, Adv. in Math., 44 (1982), 78-104.
    • (1982) Adv. in Math. , vol.44 , pp. 78-104
    • Dekking, F.M.1
  • 12
    • 0024680675 scopus 로고
    • Systèmes de numération et fonctions fractales relatifs aux substitutions
    • J. M. Dumont, A. Thomas, Systèmes de numération et fonctions fractales relatifs aux substitutions, Theoret. Comput. Sci., 65 (1989), 153-169.
    • (1989) Theoret. Comput. Sci. , vol.65 , pp. 153-169
    • Dumont, J.M.1    Thomas, A.2
  • 13
    • 0039208796 scopus 로고    scopus 로고
    • A characterization of substitutive sequences using return words
    • F. Durand, A characterization of substitutive sequences using return words, Discrete Math., 179(1-3) (1998), 89-101.
    • (1998) Discrete Math. , vol.179 , Issue.1-3 , pp. 89-101
    • Durand, F.1
  • 14
    • 0034413138 scopus 로고    scopus 로고
    • Linearly recurrent subshifts have a finite number of non-periodic subshift factors
    • F. Durand, Linearly recurrent subshifts have a finite number of non-periodic subshift factors, Ergodic Theory Dynamical Systems, 20(4) (2000), 1061-1078.
    • (2000) Ergodic Theory Dynamical Systems , vol.20 , Issue.4 , pp. 1061-1078
    • Durand, F.1
  • 15
    • 0033439454 scopus 로고    scopus 로고
    • Substitutional dynamical systems, Bratteli diagrams and dimension groups
    • F. Durand, B. Host, C. Skau, Substitutional dynamical systems, Bratteli diagrams and dimension groups, Ergodic Theory Dynamical Systems 18(4) (1999), 953-993.
    • (1999) Ergodic Theory Dynamical Systems , vol.18 , Issue.4 , pp. 953-993
    • Durand, F.1    Host, B.2    Skau, C.3
  • 16
    • 0002131582 scopus 로고    scopus 로고
    • Decomposition theorem on invertible substitutions
    • H. Ei, S. Ito, Decomposition theorem on invertible substitutions, Osaka J. Math., 35(4) (1998), 821-834.
    • (1998) Osaka J. Math. , vol.35 , Issue.4 , pp. 821-834
    • Ei, H.1    Ito, S.2
  • 17
    • 0000100750 scopus 로고
    • Les transformations de Chacon : Combinatoire, structure géométrique, lien avec les systèmes de complexité 2n+1
    • S. Ferenczi, Les transformations de Chacon : combinatoire, structure géométrique, lien avec les systèmes de complexité 2n+1. Bull. Soc. Math. France, 123(2) (1995), 271-292.
    • (1995) Bull. Soc. Math. France , vol.123 , Issue.2 , pp. 271-292
    • Ferenczi, S.1
  • 18
    • 0000006292 scopus 로고    scopus 로고
    • K-groups associated with substitution minimal systems
    • A. H. Forrest, K-Groups associated with substitution minimal systems, Israel J. Math., 98 (1997), 101-139.
    • (1997) Israel J. Math. , vol.98 , pp. 101-139
    • Forrest, A.H.1
  • 19
    • 0000294971 scopus 로고
    • Ordered Bratteli diagrams, dimension groups and topological dynamics
    • R. Herman, I. F. Putnam, C. Skau, Ordered Bratteli diagrams, dimension groups and topological dynamics. Internat. J. Math., 3(6) (1992), 827-864.
    • (1992) Internat. J. Math. , vol.3 , Issue.6 , pp. 827-864
    • Herman, R.1    Putnam, I.F.2    Skau, C.3
  • 20
    • 0000423217 scopus 로고    scopus 로고
    • Geometric realizations of substitutions
    • C. Holton, L. Q. Zamboni, Geometric realizations of substitutions. Bull. Soc. Math. France, 126 (1998), 149-179.
    • (1998) Bull. Soc. Math. France , vol.126 , pp. 149-179
    • Holton, C.1    Zamboni, L.Q.2
  • 21
    • 0033481567 scopus 로고    scopus 로고
    • Descendants of primitive substitutions
    • C. Holton, L. Q. Zamboni, Descendants of primitive substitutions, Theory Comput. Systems, 32 (1999), 133-157.
    • (1999) Theory Comput. Systems , vol.32 , pp. 133-157
    • Holton, C.1    Zamboni, L.Q.2
  • 22
    • 84875564937 scopus 로고    scopus 로고
    • Iteration of maps by primitive substitutive sequences
    • World Science, River Edge, NJ
    • C. Holton, L. Q. Zamboni, Iteration of maps by primitive substitutive sequences, in Dynamical Systems (Luminy-Marseille, 1998). World Science, River Edge, NJ, 2000, pp. 137-143.
    • (2000) Dynamical Systems (Luminy-Marseille, 1998) , pp. 137-143
    • Holton, C.1    Zamboni, L.Q.2
  • 24
    • 0040200200 scopus 로고
    • A sufficient condition for weak mixing of substitutions and stationary adic transformations
    • A. N. Livshitz, A sufficient condition for weak mixing of substitutions and stationary adic transformations. Mat. Zametki, 44(6) (1988), 920-925.
    • (1988) Mat. Zametki , vol.44 , Issue.6 , pp. 920-925
    • Livshitz, A.N.1
  • 25
    • 0000923318 scopus 로고
    • Adic models of ergodic transformations, spectral theory, substitutions and related topics
    • A. N. Livshitz, A. M. Vershik, Adic models of ergodic transformations, spectral theory, substitutions and related topics. Adv. Soviet Math., 9 (1992), 185-204.
    • (1992) Adv. Soviet Math. , vol.9 , pp. 185-204
    • Livshitz, A.N.1    Vershik, A.M.2
  • 26
    • 0013433968 scopus 로고
    • Substitution minimal flows
    • J. C. Martin, Substitution minimal flows, Amer. J. Math., 93 (1971), 503-526.
    • (1971) Amer. J. Math. , vol.93 , pp. 503-526
    • Martin, J.C.1
  • 27
    • 84966230972 scopus 로고
    • Hausdorff dimension in graph directed constructions
    • R. D. Mauldin, S. C. Williams, Hausdorff dimension in graph directed constructions, Trans. Amer. Math. Soc., 309 (1988), 811-829.
    • (1988) Trans. Amer. Math. Soc. , vol.309 , pp. 811-829
    • Mauldin, R.D.1    Williams, S.C.2
  • 28
    • 85009840478 scopus 로고    scopus 로고
    • Propriétés arithmétiques et dynamiques du fractal de Rauzy
    • A. Messaoudi, Propriétés arithmétiques et dynamiques du fractal de Rauzy, J. Th. Nombres Bordeaux, 10 (1998), 135-162.
    • (1998) J. Th. Nombres Bordeaux , vol.10 , pp. 135-162
    • Messaoudi, A.1
  • 29
    • 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
  • 30
    • 38249013752 scopus 로고
    • Puissances de mots et reconnaissabilité des points fixes d'une substitution
    • B. Mossé, Puissances de mots et reconnaissabilité des points fixes d'une substitution, Theoret. Comput. Sci., 99 (1992), 327-334.
    • (1992) Theoret. Comput. Sci. , vol.99 , pp. 327-334
    • Mossé, B.1
  • 32
    • 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
  • 33
    • 0000375151 scopus 로고
    • Substitutions, adic transformations, and beta-expansions
    • B. Solomyak, Substitutions, adic transformations, and beta-expansions, Contemp. Math., 135 (1992), 361-372.
    • (1992) Contemp. Math. , vol.135 , pp. 361-372
    • Solomyak, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.