Relative Entropy Functions for Factor Maps between Subshifts
نویسنده
چکیده
Let (X,S) and (Y, T ) be topological dynamical systems and π : X → Y a factor map. A function F ∈ C(X) is a compensation function for π if P (F + φ ◦ π) = P (φ) for all φ ∈ C(Y ). For a factor code between subshifts of finite type, we analyze the associated relative entropy function and give a necessary condition for the existence of saturated compensation functions. Necessary and sufficient conditions for a map to be a saturated compensation function will be provided.
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تاریخ انتشار 2006