대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제12권2호
  • /
  • Pages.257-267
  • /
  • 1997
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

POSITIVELY EXPANSIVE ENDOMORPHISMS ON SUBSHIFTS OF FINITE TYPE

  • 발행 : 1997.04.01
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초록

It is shown that if S is a positively expansive endomorphism on a one-sided mixing SFT (X,T), then (X,S) is conjugate to a one-sided mixing SFT, and the Parry measures of (X,T) and (X,S) are identical.

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참고문헌

  1. Equilibrium States and the Ergodic Theory of Anosov Diffeonorphisms R. Bowen
  2. A dimension group for local homeomorphisms and endomorphisms of onesided shifts of finite type M. Boyle;D. Fiebig;U.-R. Fiebig
  3. Israel Journal of Mathematics Dynamical properties of expansive one-sided cellular automata F. Blanchard;A. Maass
  4. Lecture Notes of the 10th KAIST Mathematics Workshop Maps in symbolic dynamics M. Nasu;Geon Ho Choe(ed.)
  5. Trans. A. M. S. v.122 Symbolic dynamics and transformations of the unit interval W. Parry