Akhadkulov, Habibulla and Saaban, Azizan and Md Noorani, Mohd Salmi and Akhatkulov, Sokhobiddin (2017) A necessary condition for the absolute continuity of invariant measure of circle maps with countably infinite number of break points. Far East Journal of Mathematical Sciences (FJMS), 101 (3). pp. 675-688. ISSN 09720871

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Abstract

Let f be a circle homeomorphism with countably many break points that is, differentiable except in countably many points where the derivatives have a jump. Assuming its rotation number ρ to be irrational, we provide a necessary condition for the absolute continuity of invariant measure with respect to the Lebesgue measure.

Item Type:	Article
Subjects:	Q Science > Q Science (General)
Divisions:	School of Quantitative Sciences
Depositing User:	Dr. Azizan Saaban
Date Deposited:	07 May 2017 01:43
Last Modified:	07 May 2017 01:43
URI:	https://repo.uum.edu.my/id/eprint/21961

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