Maria José Pacifico

Lagrange and Markov dynamical spectra of Lorenz-like attractors

In a joint work with S. Roma˜no and C. G. Moreira, we prove that the Hausdorff dimension of a geometric Lorenz attractor is strictaly greater than 2. From this, we conclude that the interior of the Lagrange dynamical spectra as well the interior of the Markov dynamical spectra of a geometric Lorenz attractor is non empty.