Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
권호 표지

POSITIVELY EXPANSIVE ENDOMORPHISMS ON SUBSHIFTS OF FINITE TYPE

  • Published : 1997.04.01
Download PDF
⟨ Previous Next ⟩

Abstract

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.

Keywords

References

  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