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On singular substitution ${mathbb Z}$-actions

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 نشر من قبل Boris Solomyak
 تاريخ النشر 2020
  مجال البحث
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We obtain a sufficient condition for a substitution ${mathbb Z}$-action to have pure singular spectrum in terms of the top Lyapunov exponent of the spectral cocycle introduced in arXiv:1802.04783 by the authors. It is applied to a family of examples, including those associated with self-similar interval exchange transformations.



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