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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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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