Мақола

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

Аннотация

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.

Мавзулар

Mathematical Dynamics and Fractals Stochastic processes and statistical mechanics

Идентификаторлар

DOI: 10.1070/im2012v076n01abeh002576

Иқтибослар ва манбалар

9 та иқтибос 18 та фойдаланилган манба

Кўрсаткичлар — AkademScholar · Тез орада