Dynamical systems on translation bounded measures: Pure point dynamical and diffraction spectra

Details Dynamical systems on translation bounded measures: Pure point dynamical and diffraction spectra Dynamical systems on translation bounded measures: Pure point dynamical and diffraction spectra

2003-02-06

arxiv.org/abs/math/0302061v2

Mathematics

Dynamical Systems

25 pages; revised version with minor modifications and appendix

Scientific paper

Certain 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.

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