University of Birmingham > Talks@bham > Analysis seminar > On disjointness with all minimal systems

On disjointness with all minimal systems

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If you have a question about this talk, please contact Andrew Morris.

Let (X,T) and (Y,S) be dynamical systems. Any closed (in XxY) and (TxS)-invariant set J with projections X and Y on respective coordinates is called joining. If the only joining is J=XxY then (X,T) and (Y,S) are disjoint. This notion was introduced by Furstenberg in 1967. At the time he asked about characterization of class of systems disjoint with all distal systems and the class of systems disjoint with all minimal systems. He also showed that both classes are nonempty. The first class was completely characterized a few years later by Petersen. The second characterization is still missing.

In this talk I will present older and more recent results related to the above problem.

This talk is part of the Analysis seminar series.

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