16-27 Konstantin Khanin, Sasa Kocic

Hausdorff dimension of invariant measure of circle diffeomorphisms with breaks (460K, pdf) Mar 13, 16

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Abstract. We prove that, for almost all irrational rho in (0,1), Hausdorff dimension of invariant measure of circle diffeomorphisms with breaks, with rotation number rho, is zero. This result cannot be extended to all irrational rotation numbers.

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