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We investigate what happens when we try to work with continuing block codes (i.e., left or right continuing factor maps) between shift spaces that may not be shifts of finite type. For example, we demonstrate that continuing block codes on strictly sofic shifts do not behave as well as those on shifts of finite type; a continuing block code on a sofic shift need not have a uniformly bounded retract, unlike one on a shift of finite type. A right eresolving code on a sofic shift can display any behavior arbitrary block codes can have. We also show that a right continuing factor of a shift of finite type is always a shift of finite type.
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참고문헌 (7)
참고문헌 신청
D. Lind / 1995 / An Introduction to Symbolic Dynamics and Coding / Cambridge University Press
J. R. Chazottes / 2003 / Projection of Markov measures may be Gibbsian / J. Statist. Phys 111 (5) : 1245 ~ 1272
J. Yoo / 2010 / On factor maps that send Markov measures to Gibbs measures / J. Stat. Phys 141 (6) : 1055 ~ 1070
M. Boyle / 1984 / Infinite-to-one codes and Markov measures / Trans. Amer. Math. Soc 285 (2) : 657 ~ 684
M. Boyle / 1987 / Resolving Maps and the Dimension Group for Shifts of Finite Type / Mem. Amer. Math. Soc 70 (377) : 6 ~ 146
J. R. Chazottes / 2003 / Projection of Markov measures may be Gibbsian / J. Statist. Phys 111 (5) : 1245 ~ 1272
J. Yoo / 2010 / On factor maps that send Markov measures to Gibbs measures / J. Stat. Phys 141 (6) : 1055 ~ 1070
M. Boyle / 1984 / Infinite-to-one codes and Markov measures / Trans. Amer. Math. Soc 285 (2) : 657 ~ 684
M. Boyle / 1987 / Resolving Maps and the Dimension Group for Shifts of Finite Type / Mem. Amer. Math. Soc 70 (377) : 6 ~ 146
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