| Nikos Frantzikinakis - University of Crete,
|Furstenberg systems of bounded sequences
|14:00 à 15:45
|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 with polynomial growth and bounded multiplicative functions - the latter case was recently used in joint work with Bernard Host in order to verify a logartihmically averaged variant of the Sarnak conjecture for ergodic weights.
|Campus Pierre et Marie Curie