A. A. Dzhalilov, D. Mayer, U. A. Safarov, “Piecewise-smooth circle homeomorphisms with several break points”, Izv. RAN. Ser. Mat., 2012, Volume 76, Issue 1,Pages <nobr>101

This article is cited in 20 papers

Piecewise-smooth circle homeomorphisms with several break points

A. A. Dzhalilov^a, D. Mayer^b, U. A. Safarov^a

^a A. Navoi Samarkand State University
^b Institut für Theoretische Physik

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.

Keywords: circle homeomorphism, rotation number, invariant measure.

UDC: 517.9

MSC: 37E10, 37C40, 37C15, 37E45

Received: 20.11.2009
Revised: 07.12.2010

DOI: 10.4213/im4262