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