Measures of maximal relative entropy
Karl Petersen, Anthony Quas, Sujin Shin
Abstract
Given an irreducible subshift of finite type X, a subshift Y, a factor map π: X Y, and an ergodic invariant measure νon Y, there can exist more than one ergodic measure on X which projects to νand has maximal entropy among all measures in the fiber, but there is an explicit bound on the number of such maximal entropy preimages.
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