منابع مشابه
Harmonic and Invariant Measures on Foliated Spaces
We consider the family of harmonic measures on a lamination L of a compact space X by locally symmetric spaces L of noncompact type, i.e. L ∼= ΓL\G/K. We establish a natural bijection between these measures and the measures on the associated lamination by G-orbits, Ò L , which are right invariant under a minimal parabolic (Borel) subgroup B < G. In the special case when G is split, these measur...
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Riemannian foliations occupy an important place in geometry. An excellent survey is A. Haefliger’s Bourbaki seminar [11], and the book of P. Molino [18] is the standard reference for Riemannian foliations. In one of the appendices to this book, E. Ghys proposes the problem of developing a theory of equicontinuous foliated spaces paralleling that of Riemannian foliations; he uses the suggestive ...
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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: Mathematische Zeitschrift
سال: 2008
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-008-0432-4