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Volumn 54, Issue 2, 2002, Pages 283-308

On the boundary of self affine tilings generated by Pisot numbers

Author keywords

Fractal; Pisot number; Tiling

Indexed keywords


EID: 0036553823     PISSN: 00255645     EISSN: 18811167     Source Type: Journal    
DOI: 10.2969/jmsj/05420283     Document Type: Article
Times cited : (59)

References (18)
  • 2
  • 6
    • 0001313992 scopus 로고
    • Development en base de Pisot et repartition modulo
    • A. Bertrand, Development en base de Pisot et repartition modulo I. C. R. Acad. Sci., Paris, 385 (1977), 419-421.
    • (1977) I. C. R. Acad. Sci., Paris , vol.385 , pp. 419-421
    • Bertrand, A.1
  • 7
    • 85037875851 scopus 로고
    • B-expansion and symbolic dynamics
    • F. Blanchard, b-expansion and symbolic dynamics, Theoret. Comput. Sci., 65 (1989), 131141.
    • (1989) Theoret. Comput. Sci , vol.65 , pp. 131141
    • Blanchard, F.1
  • 9
    • 84972535639 scopus 로고
    • Markov subshifts and realization of b-expansions
    • S. Ito and Y. Takahashi, Markov subshifts and realization of b-expansions, J. Math. Soc. Japan, 26 (1974), no. 1, 33-55.
    • (1974) J. Math. Soc. Japan , vol.26 , Issue.1 , pp. 33-55
    • Ito, S.1    Takahashi, Y.2
  • 10
    • 0032373596 scopus 로고    scopus 로고
    • Arithmetic construction of sofic partitions of hyperbolic toral automorphisms
    • R. Kenyon and A. Vershik. Arithmetic construction of sofic partitions of hyperbolic toral automorphisms, Ergodic Theory Dynam. Systems, 18 (1998), no. 2, 357-372.
    • (1998) Ergodic Theory Dynam. Systems , vol.18 , Issue.2 , pp. 357-372
    • Kenyon, R.1    Vershik, A.2
  • 12
    • 0010564057 scopus 로고
    • On the b-expansions of real numbers
    • W. Parry, On the b-expansions of real numbers. Acta Math. Acad. Sci. Hungary, 11 (1960), 269-278.
    • (1960) Acta Math. Acad. Sci. Hungary , vol.11 , pp. 269-278
    • Parry, W.1
  • 14
    • 0040341424 scopus 로고
    • Representation for real numbers and their ergodic properties
    • A. Rényi, Representation for real numbers and their ergodic properties. Acta Math. Acad. Sci. Hungary, 8 (1957), 477-493.
    • (1957) Acta Math. Acad. Sci. Hungary , vol.8 , pp. 477-493
    • Rényi, A.1
  • 15
    • 0000066640 scopus 로고
    • Nombres Algebriques et substitutions
    • G. Rauzy, Nombres Algebriques et substitutions, Bull. Soc. Math. France, 110 (1982), 147178.
    • (1982) Bull. Soc. Math. France , vol.110 , pp. 147178
    • Rauzy, G.1
  • 16
    • 0000333975 scopus 로고
    • On periodic expansions of Pisot numbers and Salem numbers
    • K. Schmidt, On periodic expansions of Pisot numbers and Salem numbers, Bull. London Math. Soc., 12 (1980), 269-278.
    • (1980) Bull. London Math. Soc. , vol.12 , pp. 269-278
    • Schmidt, K.1
  • 17
    • 0031506167 scopus 로고    scopus 로고
    • Dynamics of self-similar tilings
    • B. Solomyak, Dynamics of self-similar tilings, Ergodic Theory Dynam. Systems, 17 (1997), no. 3, 695-738.
    • (1997) Ergodic Theory Dynam. Systems , vol.17 , Issue.3 , pp. 695-738
    • Solomyak, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.