Research-Entropy, Invariant Measures and Weak Specification-like Properties

Research

Dynamical Systems Seminar

Entropy, Invariant Measures and Weak Specification-like Properties

Speaker: Peng Sun (Central University of Finance and Economics)
Time: Oct 31, 2019, 09:00-10:00
Location: Conference Room 518, Hui Yuan 3#

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.