Geodesic
The Hölder property of singular invariant measures of circle homeomorphisms with single corners
Teoretičeskaâ i matematičeskaâ fizika, Tome 121 (1999) no. 3, pp. 355-366 
A. A. Dzhalilov. The Hölder property of singular invariant measures of circle homeomorphisms with single corners. Teoretičeskaâ i matematičeskaâ fizika, Tome 121 (1999) no. 3, pp. 355-366. http://geodesic.mathdoc.fr/item/TMF_1999_121_3_a0/
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     title = {The {H\"older} property of singular invariant measures of circle homeomorphisms with single corners},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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