COSAM News Articles 2017 April Authors study the dynamical properties of Krystyna Kuperberg's aperiodic flows on 3-manifolds

Authors study the dynamical properties of Krystyna Kuperberg's aperiodic flows on 3-manifolds

Published: 04/06/2017

In The Dynamics of Generic Kuperberg Flows," by Steven Hurder and Ana Rechtman Astérisque, Volume 377 (2016), published by Société Mathématique de France, "the authors study the dynamical properties of Krystyna Kuperberg's (emphasis added) aperiodic flows on 3-manifolds. They introduce the notion of a 'zippered lamination' and with suitable generic hypotheses, show that the unique minimal set for such a flow is an invariant zippered lamination.

The authors obtain a precise description of the topological and dynamical properties of the minimal set, including the presence of non-zero entropy-type invariants and chaotic behavior. Moreover, they show that the minimal set does not have stable shape, yet it satisfies the Mittag-Leffler condition for homology groups."

See more info at http://bookstore.ams.org/ast-377

Congratulations Krystyna!