Colloquium: Jan Boronski

Speaker: Jan Boronski, National Supercomputing Center, IT4Innovations, University of Ostrava, Institute for Research and Applications of Fuzzy Modeling, Ostrava, Czech Republic

Title: Handel's Example Revisited

Abstract: In 1982 M. Handel constructed a smooth area-preserving diffeomorphism of the plane with a minimal R.H. Bing's pseudo-circle. His example has been believed to be of simple dynamics, and it has a well defined rotation number. We show, however, that Handel's construction gives a weakly mixing, uniformly rigid, minimal system. The first example of a system with these three properties was given by Glasner and Maon in 1989, but ours seems to be the first such planar 1-dimensional example.

This is joint work with P. Oprocha.

Faculty host: Krystyna Kuperberg