دانلود کتاب The Dynamics of Generic Kuperberg Flows

Name: The Dynamics of Generic Kuperberg Flows
Availability: InStock
Author: Steven Hurder
ISBN: 2856298311,9782856298312

by Steven Hurder, Ana Rechtman

عنوان فارسی: پویایی Generic Kuperberg جریان
ناشر: Société mathématique de France
سال: 2016
زبان: انگلیسی
تعداد صفحه (نسخه چاپی - نسخه الکترونیکی): 0-262
شابک: 2856298311,9782856298312
نوع فایل: PDF دانلود نرم افزار مطالعه
حجم: 9.47 مگابایت

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جزییات کتاب

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.