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arXiv · 2103.11262

Topological entropy and Hausdorff dimension of irregular sets for non-hyperbolic dynamical systems

Pablo G. Barrientos·Yushi Nakano·Artem Raibekas·Mario Roldan
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Abstract

We systematically investigate examples of non-hyperbolic dynamical systems having irregular sets of full topological entropy and full Hausdorff dimension. The examples include some partially hyperbolic systems and geometric Lorenz flows. We also pose interesting questions for future research.

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Pablo G. Barrientos, Yushi Nakano, Artem Raibekas, Mario Roldan. 2021-03-20. Topological entropy and Hausdorff dimension of irregular sets for non-hyperbolic dynamical systems. https://doi.org/10.1080/14689367.2022.2031890

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