Circularly ordered dynamical systems

Eli Glasner*, Michael Megrelishvili

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We study topological properties of circularly ordered dynamical systems and prove that every such system is representable on a Rosenthal Banach space, hence, is also tame. We derive some consequences for topological groups. We show that several Sturmian like symbolic Zk-systems are circularly ordered. Using some old results we characterize circularly ordered minimal cascades.

Original languageEnglish
Pages (from-to)415-441
Number of pages27
JournalMonatshefte fur Mathematik
Issue number3
StatePublished - 1 Mar 2018


  • Circular order
  • Enveloping semigroup
  • Linear order
  • Rosenthal space
  • Sturmian system
  • Subshift
  • Symbolic system
  • Tame dynamical system


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