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A comment on the definition of relative pressure

Karl Petersen·Sujin Shin
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Abstract

We show that two natural definitions of the relative pressure function for a locally constant potential function and a factor map from a shift of finite type coincide almost everywhere with respect to every invariant measure. With a suitable extension of one of the definitions, the same holds true for any continuous potential function.

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Karl Petersen, Sujin Shin. 2004-03-09. A comment on the definition of relative pressure. https://arxiv.org/abs/math/0403163

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