Spectrum of dynamical systems arising from Delone sets
نویسنده
چکیده
We investigate spectral properties of the translation action on the orbit closure of a Delone set. In particular, suucient conditions for pure discrete spectrum are given, based on the notion of almost periodicity. Connections with diiraction spectrum are discussed.
منابع مشابه
Errata to “spectrum of Dynamical Systems Arising from Delone Sets”
1. Lenz and Stollman [3] pointed out that the “metric” ρ defined on page 266 of [4] does not satisfy the triangle inequality. There we used for two Delone sets Λ1 and Λ2, denoting by Br the ball of radius r centered at the origin: ρ(Λ1,Λ2) = min{2−1/2, ρ̃(Λ1,Λ2)}, where ρ̃(Λ1,Λ2) = inf{ > 0 : dH [Λ1 ∩B1/ , Λ2 ∩B1/ ] ≤ } . Here dH is the Hausdorff distance. There are several ways to fix this, desc...
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