منابع مشابه
Equicontinuous Geodesic Flows
This article is about the interplay between topological dynamics and differential geometry. One could ask how many informations of the geometry are carried in the dynamic of the geodesic flow. M. Paternain proved in [6] that an expansive geodesic flow on a surface implies that there are no conjugate points. Instead of regarding notions that describe chaotic behavior (for example expansiveness) ...
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We characterize equicontinuous Delone dynamical systems as those coming from Delone sets with strongly almost periodic Dirac combs. Within the class of systems with finite local complexity the only equicontinuous systems are then shown to be the crystalline ones. On the other hand, within the class without finite local complexity, we exhibit examples of equicontinuous minimal Delone dynamical s...
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A new class of dynamical systems is defined, the class of “locally equicontinuous systems” (LE). We show that the property LE is inherited by factors as well as subsystems, and is closed under the operations of pointed products and inverse limits. In other words, the locally equicontinuous functions in l∞(Z) form a uniformly closed translation invariant subalgebra. We show that WAP ⊂ LE ⊂ AE, w...
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 1961
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-8-2-209-222