Operator Theory Seminar

Speaker: 
Sergii Bezuglyi
Topic: 
Unique Ergodic Dynamical Systems

Abstract:
We discuss uniquely ergodic dynamical systems acting on measure spaces and topological spaces. By definition, a dynamical system is uniquely ergodic if it has exactly one invariant probability measure. We consider classes of uniquely ergodic shifts in symbolic dynamics and minimal homeomorphisms of a Cantor set. We show that unique ergodicity is related to the notion of complexity of a dynamical system.

Event Date: 
February 4, 2020 - 1:30pm to 2:20pm
Location: 
309 VAN
Calendar Category: 
Seminar
Seminar Category: 
Operator Theory