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Zbl 1209.37049
Dzhalilov, Akhtam; Akin, Hasan; Temir, Seyit
Conjugations between circle maps with a single break point. (English)
[J] J. Math. Anal. Appl. 366, No. 1, 1-10 (2010). ISSN 0022-247X

The classification of circle homeomorphisms under changes of variables is an important problem in one-dimensional dynamics. The present paper studies a class of circle homeomorphisms with a single break point -- a jump in the first derivative at exactly one point.
[Iuliana Oprea (Fort Collins)]
MSC 2000:
*37E45 Rotation numbers and vectors

Keywords: circle homeomorphism; break points; rotation number; invariant measures; singular function

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