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arXiv · 1611.01174

Hausdorff Dimension, Lagrange and Markov Dynamical Spectra for Geometric Lorenz Attractors

Carlos Gustavo Moreira·Maria José Pacifico·Sergio Romaña
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Abstract

In this paper, we show that geometric Lorenz attractors have Hausdorff dimension strictly greater than $2$. We use this result to show that for a "large" set of real functions the Lagrange and Markov Dynamical spectrum associated to these attractors has persistently non-empty interior.

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Carlos Gustavo Moreira, Maria José Pacifico, Sergio Romaña. 2018-09-20. Hausdorff Dimension, Lagrange and Markov Dynamical Spectra for Geometric Lorenz Attractors. https://arxiv.org/abs/1611.01174

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