College of Liberal Arts & Sciences

# 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