On critical circle homeomorphisms with infinite number of break points

Akhtam Dzhalilov, Mohd. Salmi Md. Noorani, Sokhobiddin Akhatkulov

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We prove that a critical circle homeomorphism with infinite number of break points without periodic orbits is conjugated to the linear rotation by a quasisymmetric map if and only if its rotation number is of bounded type. And we also prove that any two adjacent atoms of dynamical partition of a unit circle are comparable.

Original languageEnglish
Article number378742
JournalAbstract and Applied Analysis
Volume2014
DOIs
Publication statusPublished - 2014

Fingerprint

Rotation number
Homeomorphism
Unit circle
Periodic Orbits
Circle
Adjacent
Partition
If and only if
Orbits
Atoms

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

On critical circle homeomorphisms with infinite number of break points. / Dzhalilov, Akhtam; Md. Noorani, Mohd. Salmi; Akhatkulov, Sokhobiddin.

In: Abstract and Applied Analysis, Vol. 2014, 378742, 2014.

Research output: Contribution to journalArticle

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