Abstract
We prove that the invariant probability measure of an ergodic piecewise-smooth circle homeomorphism with several break points and the product of the jumps at break points non-trivial is singular with respect to Lebesgue measure.
Piecewise-smooth circle homeomorphisms with several break points
A A Dzhalilov1, D Mayer1 and Utkir A Safarov1
© 2012 Russian Academy of Sciences, (DoM) and London Mathematical Society, Turpion Ltd
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Citation A A Dzhalilov et al 2012 Izv. Math. 76 94
DOI 10.1070/IM2012v076n01ABEH002576
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