Hausdorff Dimension, Lagrange and Markov Dynamical Spectra for Geometric Lorenz Attractors
classification
🧮 math.DS
keywords
attractorsdimensiondynamicalgeometrichausdorfflagrangelorenzmarkov
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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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