2021/03/26 by Sérgio R. Fenley, Fenley, Sergio R., Rafaël Potrie +1 · 1 citation
Mathematics · Physics and Astronomy · #Mathematical Dynamics and Fractals #Geometric and Algebraic Topology #Quantum chaos and dynamical systems
paper · pdf · doi:10.48550/arxiv.2103.14630
We consider a class of partially hyperbolic diffeomorphisms introduced in [BFP] which is open and closed and contains all known examples. If in addition the diffeomorphism is non-wandering, then we show it is accessible unless it contains a su-torus. This implies that these systems are ergodic when they preserve volume, confirming a conjecture by Hertz-Hertz-Ures for this class of systems.