A comment on the definition of relative pressure

2004/03/09 by Karl Petersen, Petersen, Karl, Sujin Shin +2
Mathematics · Physics and Astronomy · #37A #37B #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #math.DS #msc:37A #msc:37B

paper · pdf · doi:10.48550/arxiv.math/0403163

arxiv created 2004/03/09 · openalex publication_date 2004/03/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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