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arXiv · 1401.3206

Dimension theoretical study on skew product maps with coupled-expanding property

Jinhyon Kim·Hyonhui Ju
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Abstract

We discuss on some families of skew product maps on a square. For a kind of skew product maps with coupled-expanding property, we estimate Hausdorff dimension of its attractor. And we prove that there exists an ergodic measure with full Hausdorff dimension for this kind of skew product maps.

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Jinhyon Kim, Hyonhui Ju. 2014-01-13. Dimension theoretical study on skew product maps with coupled-expanding property. https://arxiv.org/abs/1401.3206

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