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Volumn 23, Issue 2, 2003, Pages 533-540

Two-symbol Pisot substitutions have pure discrete spectrum

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EID: 0037397407     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0143385702001384     Document Type: Article
Times cited : (49)

References (29)
  • 2
    • 0000503623 scopus 로고
    • Quasicrystals, tilings and algebraic number theory: Some preliminary connections
    • E. Bombieri and J. E. Taylor. Quasicrystals, tilings and algebraic number theory: some preliminary connections. Contemp. Math. 64 (1987), 241-264.
    • (1987) Contemp. Math. , vol.64 , pp. 241-264
    • Bombieri, E.1    Taylor, J.E.2
  • 3
    • 0013290568 scopus 로고    scopus 로고
    • Coincidence for substitutions of Pisot type
    • M. Barge and B. Diamond. Coincidence for substitutions of Pisot type. Bull. Soc. Math. France 130(4) (2002), 619-626.
    • (2002) Bull. Soc. Math. France , vol.130 , Issue.4 , pp. 619-626
    • Barge, M.1    Diamond, B.2
  • 4
    • 23044529877 scopus 로고    scopus 로고
    • Geometric representation of primitive substitutions of Pisot type
    • V. Canterini and A. Siegel. Geometric representation of primitive substitutions of Pisot type. Trans. Amer. Math. Soc. 353 (2001), 5121-5144.
    • (2001) Trans. Amer. Math. Soc. , vol.353 , pp. 5121-5144
    • Canterini, V.1    Siegel, A.2
  • 5
    • 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. Wahr. 41 (1978), 221-239.
    • (1978) Z. Wahr. , vol.41 , pp. 221-239
    • Dekking, F.M.1
  • 6
    • 21144472697 scopus 로고
    • Spectral theory and X-ray diffraction
    • S. Dworkin. Spectral theory and X-ray diffraction. J. Math. Phys. 34 (1993), 2965-2967.
    • (1993) J. Math. Phys. , vol.34 , pp. 2965-2967
    • Dworkin, S.1
  • 7
    • 0002492934 scopus 로고    scopus 로고
    • Diffraction by aperiodic structures
    • Ed. R. V. Moody. Kluwer
    • A. Hof. Diffraction by aperiodic structures. The Mathematics of Long-Range Aperiodic Order. Ed. R. V. Moody. Kluwer, 1997, pp. 239-268.
    • (1997) The Mathematics of Long-Range Aperiodic Order , pp. 239-268
    • Hof, A.1
  • 9
    • 0000423217 scopus 로고    scopus 로고
    • Geometric realization of substitutions
    • C. Holton and L. Zamboni. Geometric realization 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.2
  • 10
    • 84974095655 scopus 로고
    • Valeurs propres de systèmes dynamiques définis par de substitutions de longueur variable
    • B. Host. Valeurs propres de systèmes dynamiques définis par de substitutions de longueur variable. Ergod. Th. & Dynam. Sys. 6 (1986), 529-540.
    • (1986) Ergod. Th. & Dynam. Sys. , vol.6 , pp. 529-540
    • Host, B.1
  • 12
    • 84912105816 scopus 로고
    • On the spectra of adic transformations of Markov compacta
    • A. N. Livshits. On the spectra of adic transformations of Markov compacta. Russian Math. Surveys 42 (1987), 222-223.
    • (1987) Russian Math. Surveys , vol.42 , pp. 222-223
    • Livshits, A.N.1
  • 13
    • 0003375040 scopus 로고
    • Some examples of adic transformations and substitutions
    • A. N. Livshits. Some examples of adic transformations and substitutions. Selecta Math. Sovietica 11 (1992), 83-104.
    • (1992) Selecta Math. Sovietica , vol.11 , pp. 83-104
    • Livshits, A.N.1
  • 14
    • 0001754183 scopus 로고
    • Coincidence values and spectra of substitutions
    • P. Michel. Coincidence values and spectra of substitutions. Z. Wahr. 42 (1978), 205-227.
    • (1978) Z. Wahr. , vol.42 , pp. 205-227
    • Michel, P.1
  • 15
    • 38249013752 scopus 로고
    • Puissances de mots et reconnaisabilité des point fixes d'une substitution
    • B. Mossé. Puissances de mots et reconnaisabilité des point fixes d'une substitution. Theor. Comput. Sci. 99(2) (1992), 327-334.
    • (1992) Theor. Comput. Sci. , vol.99 , Issue.2 , pp. 327-334
    • Mossé, B.1
  • 16
    • 0001655744 scopus 로고    scopus 로고
    • Reconnaisabilité des substitutions et complexité des suites automatiques
    • B. Mossé. Reconnaisabilité des substitutions et complexité des suites automatiques. Bull. Soc. Math. France 124 (1996), 329-346.
    • (1996) Bull. Soc. Math. France , vol.124 , pp. 329-346
    • Mossé, B.1
  • 17
    • 85072827016 scopus 로고
    • Substitution dynamical systems - Spectral analysis
    • Springer, Berlin
    • M. Queffelec. Substitution Dynamical Systems - Spectral Analysis (Lecture Notes in Mathematics, 1294). Springer, Berlin, 1987.
    • (1987) Lecture Notes in Mathematics , vol.1294
    • Queffelec, M.1
  • 18
    • 0001858345 scopus 로고
    • Spectral study of automatic and substitutive sequences
    • Springer, Berlin
    • M. Queffelec. Spectral study of automatic and substitutive sequences. Beyond Quasicrystals (Les Hauches, 1994). Springer, Berlin, 1995, pp. 369-414.
    • (1995) Beyond Quasicrystals (Les Hauches, 1994) , pp. 369-414
    • Queffelec, M.1
  • 19
    • 0000863912 scopus 로고
    • Space tilings and substitutions
    • C. Radin. Space tilings and substitutions. Geom. Dedicata 55 (1995), 257-264.
    • (1995) Geom. Dedicata , vol.55 , pp. 257-264
    • Radin, C.1
  • 20
    • 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
  • 23
    • 0013185496 scopus 로고    scopus 로고
    • Répresentation des systèmes dynamiques substitutifs non unimodulaires
    • to appear
    • A. Siegel. Répresentation des systèmes dynamiques substitutifs non unimodulaires. Ergod. Th. & Dynam. Sys. (2002) to appear.
    • (2002) Ergod. Th. & Dynam. Sys.
    • Siegel, A.1
  • 24
    • 0036803749 scopus 로고    scopus 로고
    • Self-affine tiling via substitution dynamical systems and Rauzy fractals
    • V. Sirvent and Y. Wang. Self-affine tiling via substitution dynamical systems and Rauzy fractals. Pacific J. Math. 206(2) (2002), 465-485.
    • (2002) Pacific J. Math. , vol.206 , Issue.2 , pp. 465-485
    • Sirvent, V.1    Wang, Y.2
  • 25
    • 84956124178 scopus 로고
    • On a dynamical system with discrete spectrum
    • B. Solomyak. On a dynamical system with discrete spectrum. Russian Math. Surveys 41 (1986), 219-220.
    • (1986) Russian Math. Surveys , vol.41 , pp. 219-220
    • Solomyak, B.1
  • 26
    • 0001360360 scopus 로고
    • On the spectral theory of adic transformations
    • B. Solomyak. On the spectral theory of adic transformations. Adv. Soviet Math. 9 (1992), 217-230.
    • (1992) Adv. Soviet Math. , vol.9 , pp. 217-230
    • Solomyak, B.1
  • 27
    • 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
  • 28
    • 0031506167 scopus 로고    scopus 로고
    • Dynamics of self-similar tilings
    • B. Solomyak. Dynamics of self-similar tilings. Ergod. Th. & Dynam. Sys. 17 (1997), 695-738.
    • (1997) Ergod. Th. & Dynam. Sys. , vol.17 , pp. 695-738
    • Solomyak, B.1
  • 29
    • 0000923318 scopus 로고
    • Adic models of ergodic transformations, spectral theory, and related topics
    • A. Vershik and A. Livshits. Adic models of ergodic transformations, spectral theory, and related topics. Adv. Soviet Math. 9 (1992), 185-204.
    • (1992) Adv. Soviet Math. , vol.9 , pp. 185-204
    • Vershik, A.1    Livshits, A.2


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