Dynamics and measures on generalized Bratteli diagrams

Abstract: In the talk, I discuss measures on the path space of generalized Bratteli diagrams. We consider self-similar measures (called also IFS measures) on the path space of discrete and measurable Bratteli diagrams. In the literature, similarity may be defined by systems of affine maps (Sierpinski) or systems of conformal maps (Julia). We study new classes of iterated function systems associated to stationary generalized Bratteli diagrams. For the corresponding iterated function systems, we further identify the measures which are also shift-invariant. The talk is based on joint papers with Palle Jorgensen.

geometric topologynumber theoryoperator algebrasrepresentation theory

Audience: researchers in the topic

( paper | slides | video )

Noncommutative Geometry in NYC

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