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Volumn 18, Issue 2, 1998, Pages 357-372

Arithmetic construction of sofic partitions of hyperbolic toral automorphisms

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EID: 0032373596     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385798100445     Document Type: Article
Times cited : (41)

References (16)
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    • 0000458958 scopus 로고
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    • Adler, R.1    Weiss, B.2
  • 2
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    • About topological similarity of automorphisms and shifts on compact abelian groups
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    • (1963) Russian Math. Surveys ('Uspehi Matematicheskih Nauk') , vol.18 , Issue.5 , pp. 133-138
    • Arov, D.1
  • 4
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    • Markov partitions for Axiom A diffeomorphisms
    • R. Bowen. Markov partitions for Axiom A diffeomorphisms. Amer. J. Math. 92 (1970), 725-747.
    • (1970) Amer. J. Math. , vol.92 , pp. 725-747
    • Bowen, R.1
  • 6
    • 0003884783 scopus 로고
    • Ph.D. Thesis, Princeton University
    • R. Kenyon. Self-similar tilings. Ph.D. Thesis, Princeton University, 1990.
    • (1990) Self-similar Tilings
    • Kenyon, R.1
  • 7
    • 0010564057 scopus 로고
    • On the β-expansions of real numbers
    • W. Parry. On the β-expansions of real numbers. Acta Math. Acad. Sci. Hungar. 11 (1960), 401-416.
    • (1960) Acta Math. Acad. Sci. Hungar. , vol.11 , pp. 401-416
    • Parry, W.1
  • 10
    • 0040341424 scopus 로고
    • Representations for real numbers and their ergodic properties
    • A. Renyi. Representations for real numbers and their ergodic properties. Acta Math. Acad Sci. Hungar. 8 (1957), 477-493.
    • (1957) Acta Math. Acad Sci. Hungar. , vol.8 , pp. 477-493
    • Renyi, A.1
  • 11
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    • 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
  • 12
    • 0002131294 scopus 로고
    • Markov partitions and U-diffeomorphisms
    • Y. Sinai. Markov partitions and U-diffeomorphisms. Funkts. Anal. Prilozhen. 2 (1968), 64-89.
    • (1968) Funkts. Anal. Prilozhen. , vol.2 , pp. 64-89
    • Sinai, Y.1
  • 14
    • 0011785275 scopus 로고
    • Arithmetic isomorphism of hyperbolic toral automorphisms and sofic shifts
    • A. Vershik. Arithmetic isomorphism of hyperbolic toral automorphisms and sofic shifts. Funkts. Anal. Prilozhen 26 (1992), 22-27.
    • (1992) Funkts. Anal. Prilozhen , vol.26 , pp. 22-27
    • Vershik, A.1
  • 16
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    • Subshifts of finite type and sofic systems
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    • Weiss, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.