Scalings in circle maps III
Dynamical Systems
2016-09-06 v1
Abstract
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.
Cite
@article{arxiv.math/9202209,
title = {Scalings in circle maps III},
author = {Jacek Graczyk and Grzegorz Swiatek and Folkert Tangerman and J. J. P. Veerman},
journal= {arXiv preprint arXiv:math/9202209},
year = {2016}
}