On Critical Circle Homeomorphisms with Infinite Number of Break Points

Joint Authors

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

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-03-20

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Dzhalilov, Akhtam& Noorani, Mohd Salmi Md.& Akhatkulov, Sokhobiddin. 2014. On Critical Circle Homeomorphisms with Infinite Number of Break Points. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1033722

Modern Language Association (MLA)

Dzhalilov, Akhtam…[et al.]. On Critical Circle Homeomorphisms with Infinite Number of Break Points. Abstract and Applied Analysis No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-1033722

American Medical Association (AMA)

Dzhalilov, Akhtam& Noorani, Mohd Salmi Md.& Akhatkulov, Sokhobiddin. On Critical Circle Homeomorphisms with Infinite Number of Break Points. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1033722

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1033722