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
ABI
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.
Topics
Identifiers
Citations and references
Metrics — AkademScholar · Coming soon