College of Liberal Arts & Sciences

# Operator Theory Seminar

Speaker:

Shrey Sanadhya

Topic:

Substitution on infinite alphabet and generalized Bratteli-Vershik model

**Abstract: **

We consider substitutions on countably infinite alphabet as Borel dynamical systems and build their Bratteli-Vershik models. We prove two versions of Rokhlin's lemma for such substitution dynamical systems. Using the Bratteli-Vershik model we give an explicit formula for a shift-invariant measure (finite and infinite) and provide a criterion for this measure to be ergodic (or uniquely ergodic). This is joint work with Sergii Bezuglyi and Palle Jorgensen.

Event Date:

April 13, 2021 - 1:30pm to 2:20pm

Location:

Online

Calendar Category:

Seminar

Seminar Category:

Operator Theory