Seminar 12.3.20 Frantzikinakis

Title: Furstenberg Systems of Bounded Sequences

Speaker: Nikos Frantzikinakis – University of Crete

Abstract: Furstenberg systems are measure preserving systems that are used to model statistical properties of bounded sequences of complex numbers. They offer a different viewpoint for a variety of problems for which progress can be made by a partial or complete description of suitably chosen Furstenberg systems. In this lecture I will give several examples of this principle and in the process we will see several structural properties of Furstenberg systems arising from smooth functions and bounded multiplicative functions.

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