Title of article
On the invariant measure of a piecewisesmooth circle homeomorphism of Zygmund class
Author/Authors
Akhatkulov ، Sokhobiddin - University Kebangsaan Malaysia (UKM) , Noorani ، Mohd. Salmi Md. University Kebangsaan Malaysia (UKM) , Akhadkulov ، Habibulla - University Utara Malaysia(UUM)
Pages
12
From page
48
To page
59
Abstract
We prove that the invariant probability measure of an orientation preserving circle homeomorphism f with several break points (at which the derivative ( acute{f} has jumps) is singular with respect to Lebesgue measure, if (acute{f}) satisfies certain condition and the product of jump ratios at break points is nontrivial.
Keywords
Break point , circle homeomorphism , invariant measure , rotation number
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2017
Journal title
Journal of Nonlinear Science and Applications
Record number
2476132
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