The Dynamics of Generic Kuperberg Flows

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The Dynamics of Generic Kuperberg Flows

The Dynamics of Generic Kuperberg Flows

Name: The Dynamics of Generic Kuperberg Flows
ISBN: 9782856298312

Steven Hurder, Ana Rechtman

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In this work, we study the dynamical properties of Krystyna Kuperberg's aperiodic flows on 3-manifolds. We 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. We 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, we show that the minimal set does not have stable shape, yet satisfies the Mittag-Leffler condition for homology groups.

Categorie:

Mathematics

Anno:

2016

Casa editrice:

Société mathématique de France

Lingua:

english

ISBN 10:

2856298311

ISBN 13:

9782856298312