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When all points are generic for ergodic measures

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 نشر من قبل Tomasz Downarowicz
 تاريخ النشر 2021
  مجال البحث
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We establish connections between several properties of topological dynamical systems, such as: - every point is generic for an ergodic measure, - the map sending points to the measures they generate is continuous, - the system splits into uniquely (alternatively, strictly) ergodic subsystems, - the map sending ergodic measures to their topological supports is continuous, - the Cesaro means of every continuous function converge uniformly.



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