Activities This Week
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BGU Probability and Ergodic Theory (PET) seminar
Substitution on infinite alphabets and generalized Bratteli-Vershik models. Online
Feb 11, 16:25—17:30, 2021, Online
Speaker
Shrey Sanadhya (The University of Iowa)
Abstract
We consider substitutions on countably infinite alphabets as Borel dynamical system 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. This is joint work with Sergii Bezuglyi and Palle Jorgensen.