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Piecewise-smooth circle homeomorphisms with several break points

Akhtam DzhalilovA. Navoi Samarkand State University, Samarkand, UzbekistanDieter MayerInstitut für Theoretische Physik, Clausthal-Zellerfeld , GermanyUtkir Avlayarovich SafarovA. Navoi Samarkand State University, Samarkand, Uzbekistan

Izvestiya Mathematicsjournal2012en

ABI

Annotatsiya

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.

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Mavzular

Mathematical Dynamics and Fractals Stochastic processes and statistical mechanics

Identifikatorlar

DOI: 10.1070/im2012v076n01abeh002576

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