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Bohr chaoticity of topological dynamical systems

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 نشر من قبل Aihua Fan
 تاريخ النشر 2021
  مجال البحث
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We introduce the notion of Bohr chaoticity, which is a topological invariant for topological dynamical systems, and which is opposite to the property required by Sarnaks conjecture. We prove the Bohr chaoticity for all systems which have a horseshoe and for all toral affine dynamical systems of positive entropy, some of which dont have a horseshoe. But uniquely ergodic dynamical systems are not Bohr chaotic.



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