Abstract:
Any circle homeomorphism with a corner has an invariant measure that is singular w.r.t. the Lebesgue measure. It is proved that the singularity of the invariant measure has the Hölder property.
Citation:
A. A. Dzhalilov, “The Hölder property of singular invariant measures of circle homeomorphisms with single corners”, TMF, 121:3 (1999), 355–366; Theoret. and Math. Phys., 121:3 (1999), 1557–1566