Operator Theory Seminar - Shrey Sanadhya; Department of Mathematics; The University of Iowa "Substitution on infinite alphabet and generalized Bratteli-Vershik model"
Zoom Meeting ID: 935 9593 8832 - 1:30 (CST)
Join Zoom Meeting: https://uiowa.zoom.us/j/93595938832
Speaker: Shrey Sanadhya; Department of Mathematics; The University of Iowa
Title: 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.