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Purity results for some arithmetically defined measures

math.DS · 2019-08-23 · reject · novelty 6.0

For Pisot bases and sofic digit shifts, generalized Erdős measures are always pure, and absolute continuity is equivalent to vanishing of the Fourier limits along beta powers.

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  • Purity results for some arithmetically defined measures math.DS · 2019-08-23 · reject · none · ref 7

    For Pisot bases and sofic digit shifts, generalized Erdős measures are always pure, and absolute continuity is equivalent to vanishing of the Fourier limits along beta powers.