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math.DS2020
Hausdorff and packing dimensions and measures for nonlinear transversally non-conformal thin solenoids
Reza Mohammadpour, Feliks Przytycki, Michal Rams
We extend results by B. Hasselblatt, J. Schmeling in \emph{Dimension product structure of hyperbolic sets} (2004), and by the third author and K. Simon in \emph{Hausdorff and packi…
math.DS2020
Lyapunov spectrum properties and continuity of the lower joint spectral radius
Reza Mohammadpour
We study ergodic optimization and multifractal behavior of Lyapunov exponents for matrix cocycles. We show the continuity of the entropy spectrum at the boundary of Lyapunov spectr…