Hausdorff Dimension, Lagrange and Markov Dynamical Spectra for Geometric Lorenz Attractors
Dynamical Systems
2018-09-24 v2
Abstract
In this paper, we show that geometric Lorenz attractors have Hausdorff dimension strictly greater than . 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.
Keywords
Cite
@article{arxiv.1611.01174,
title = {Hausdorff Dimension, Lagrange and Markov Dynamical Spectra for Geometric Lorenz Attractors},
author = {Carlos Gustavo Moreira and Maria José Pacifico and Sergio Romaña},
journal= {arXiv preprint arXiv:1611.01174},
year = {2018}
}
Comments
22 pages, 6 figures, Accepted by Bulletin of the American Mathematical Society