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arXiv · 1309.7593

Interval maps quasi-symmetrically conjugated to a piecewise affine map

Huaibin Li
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Abstract

Consider a multimodal interval map $f$ of $C^3$ with non-flat critical points. We establish several characterizations of the map $f$ is quasi-symmetrically conjugated to a piecewise affine map in the case $f$ is topologically exact and all of its periodic points are hyperbolic repelling. In particular, we give a negative answer to a question posted by Henk Bruin in \cite{Bru96}.

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Huaibin Li. 2013-09-29. Interval maps quasi-symmetrically conjugated to a piecewise affine map. https://arxiv.org/abs/1309.7593

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