Unstable Topological Pressure for Partially Hyperbolic Diffeomorphisms with Sub-additive Potentials

2020/08/02 by Wenda Zhang, Zhiqiang Li, Zhang, Wenda +3
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Caveolin-1 and cellular processes #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2008.00454

openalex publication_date 2020/08/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduce the unstable topological pressure for C¹-smooth partially hyperbolic diffeomorphisms with sub-additive potentials. Moreover, without any additional assumption, we have established the expected variational principle which connects this unstable topological pressure and the unstable measure theoretic entropy, as well as the corresponding Lyapunov exponent.

Citations

• Topological entropy for noncompact sets

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