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Dynamical Systems Seminar

Entropy, Invariant Measures and Weak Specification-like Properties

  • 演讲者:Peng Sun(中央财经大学)

  • 时间:2019-10-31 09:00-10:00

  • 地点:慧园3栋 518报告厅

We consider the classes of systems satisfying weak specification-like properties.We show that in these classes systems with zero topological entropy must satisfy some rigid properties, while for systems with positive topological entropy their invariant measures have delicate structures, which implies existence of ergodic measures of arbitrary intermediate entropies.