Jacek Graczyk, Grzegorz Swiatek, Folkert Tangerman, J. J. P. Veerman
Published 1992-02-03Version 1
Circle maps with a flat spot are studied which are differentiable, even on the boundary of the flat spot. Estimates on the Lebesgue measure and the Hausdorff dimension of the non-wandering set are obtained. Also, a sharp transition is found from degenerate geometry similar to what was found earlier for non-differentiable maps with a flat spot to bounded geometry as in critical maps without a flat spot.
Cyclicity in families of circle maps
Hyperbolicity of renormalization of circle maps with a break-type singularity
A Besicovitch-Morse function preserving the Lebesgue measure
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