Institute for Mathematical Sciences
J. Graczyk and G. Swiatek
Singular Measures in Circle Dynamics.
Abstract: Critical circle homeomorphisms have an invariant measure totally singular with respect to the Lebesgue measure. We prove
that singularities of the invariant measure are of Holder
type. The Hausdorff dimension of the invariant measure is less
than 1 but greater than 0.
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