Malaysian Journal of Mathematical Sciences, February 2016, Vol. 10(S)
Special Issue: The 3rd International Conference on Mathematical Applications in Engineering 2014 (ICMAE'14)
On Invariant Probability Measure of a Piecewise-smooth Circle Homeomorphism of Zygmund Class
Akhadkulov, H., Mohd Salmi Md Noorani, and Akhatkulov, S.
Corresponding Email: [email protected]
Received date: -
Accepted date: -
Abstract:
We show that the invariant probability measure of the ergodic piecewise-smooth circle homeomorphisms with several breakpoints which satisfy Zygmund condition and the product of jumps at break points non-trivial is singular with respect to Lebesgue measure.
Keywords: break point, circle homeomorphism, invariant measure, rotation number
