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28 March 2024
 
  » arxiv » math.DS/0302061

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Dynamical systems on translation bounded measures: Pure point dynamical and diffraction spectra
Michael Baake ; Daniel Lenz ;
Date 6 Feb 2003
Subject Dynamical Systems | math.DS
AffiliationBielefeld), Daniel Lenz (Chemnitz
AbstractCertain topological dynamical systems are considered that arise from actions of $sigma$-compact locally compact Abelian groups on compact spaces of translation bounded measures. Such a measure dynamical system is shown to have pure point dynamical spectrum if and only if its diffraction spectrum is pure point.
Source arXiv, math.DS/0302061
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