Mathematics – Dynamical Systems
Scientific paper
1992-06-16
Mathematics
Dynamical Systems
Scientific paper
10.1007/BF02099758
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.
Graczyk Jacek
Świątek Grzegorz
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