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Relative entropy functions for factor maps between subshifts

Authors:	Sujin Shin

Institution:	Department of Mathematics, Korea Advanced Institute of Science and Technology, Daejeon 305-701, South Korea

Abstract:	Let and be topological dynamical systems and $\pi : X \rightarrow Y$ a factor map. A function $F \in C (X)$ is a compensation function for $\pi$ if $P (F + \phi \circ \pi ) = P (\phi)$ for all $\phi \in C(Y)$ . 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.

Keywords:	Subshift factor code relative pressure relative entropy compensation function

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