# '22

36th Summer Topology Conference

July 18-22, 2022

University of Vienna, Department of Mathematics
Oskar-Morgenstern-Platz 1, 1090 Vienna, AUSTRIA

### "Generalized Bratteli-Vershik diagrams"

#### Karpel, Olena

Bratteli diagrams are a powerful tool for the study of dynamical systems in measurable, Cantor and Borel dynamics. The set of invariant measures, minimal components, structure of the orbits of the transformation become more transparent when one deals with the corresponding Bratteli-Vershik dynamical systems. We will consider various classes of generalized Bratteli diagrams which appear in Borel dynamics, discuss the properties of their tail equivalence relations and the corresponding Vershik maps, the sets of invariant finite and infinite $\sigma$-finite measures, and connections with random walks. The talk is based on a joint work in progress with Sergey Bezuglyi, Palle E.T. Jorgensen and Shrey Sanadhya.

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