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arXiv 2002-03-07 0 views

Measures of maximal relative entropy

Petersen, Karl · Quas, Anthony · Shin, Sujin

Original · EN

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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