Ilie Ugarcovici

The structure and spectrum of odometer systems

Date: 3/2/2018
Time: 3:00PM-4:00PM
Place: 315 Armstrong Hall

Abstract: Odometer systems (or adding machines) are a well studied class of examples in the classical theory of measurable and topological dynamical systems. They can be viewed measure theoretically as cutting and stacking transformations of the unit interval. Alternatively, they can be viewed algebraically as a Z-action on an inverse limit space of increasing quotient groups of Z. Recently, there have been attempts to understand odometer systems over an arbitrary finitely generated and residually finite group. In this talk I will discuss some classification results for odometer systems defined over semidirect product groups, in particular the Heisenberg group. This is joint work with S. Orfanos (DePaul) and A. Sahin (Wright State).

Ilie Ugarcovici

All are welcome.

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