2018/02/01 by Cameron Bishop, Bishop, Cameron, D. H. Hughes +5
Mathematics · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.1802.00145
openalex publication_date 2018/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For any C^∞, area-preserving Anosov diffeomorphism f of a surface, we show that a suspension flow over f is C^∞-conjugate to a constant-time suspension flow of a hyperbolic automorphism of the two torus if and only if the volume measure is the measure with maximal entropy. We also show that the the metric entropy with respect to the volume measure and the topological entropy of suspension flow over Anosov diffeomorphisms on torus achieve all possible values. Our results fit into two programs related to entropy rigidity and flexibility of Anosov systems.