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Affine transformation with zero entropy and nilsystems

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 نشر من قبل Zhengxing Lian
 تاريخ النشر 2015
  مجال البحث
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 تأليف Zhengxing Lian




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In this paper, we study affine transformations on tori, nilmanifolds and compact abelian groups. For these systems, we show that an equivalent condition for zero entropy is the orbit closure of each point has a nice structure. To be precise, the affine systems on those spaces are zero entropy if and only if the orbit closure of each point is isomorphic to an inverse limit of nilsystems.



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