Equality of pressures for diffeomorphisms preserving hyperbolic measures

2008/03/11 by Katrin Gelfert, Gelfert, Katrin
Mathematics · Physics and Astronomy · #28D20 #37D25 #37D35 #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Probability (math.PR) #Quantum chaos and dynamical systems #math.DS #math.PR #msc:28D20 #msc:37D25 #msc:37D35

paper · pdf · doi:10.48550/arxiv.0803.1525

Accepted for publication in Mathematische Nachrichten

arxiv created 2008/03/11 · openalex publication_date 2008/03/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a diffeomorphism which preserves a hyperbolic measure the potential ϕ^u=-log|\rm Jac df|_E^u| is studied. Various types of pressure of ϕ^u are introduced. It is shown that these pressures satisfy a corresponding variational principle.

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