2 citations · 2 across the 8 of their papers we have counts for
8 papers
Restricted variational principle of Lyapunov exponents for typical cocycles
Reza Mohammadpour
In this paper, we study the multifractal formalism of Lyapunov exponents for typical cocycles. We establish a variational relation between the Legendre transform of topological pre…
Entropy spectrum of Lyapunov exponents for typical cocycles
Reza Mohammadpour
In this paper, we study the size of the level sets of all Lyapunov exponents. For typical cocycles, we establish a variational relation between the topological entropy of the level…
Uniform quasi-multiplicativity of locally constant cocycles and applications
Reza Mohammadpour, Kiho Park
In this paper, we show that a locally constant cocycle is -quasi multiplicative under the irreducibility assumption. More precisely, we show that if $\mathcal{A}^t…
On positive Lyapunov exponents and SRB measures for partially hyperbolic systems
Reza Mohammadpour
In this paper we consider diffeomorphisms on compact Riemannian manifolds admitting a dominated splitting . First, we prove that the smallest Lyapunov…
Entropy of Lyapunov maximizing measures of typical cocycles
Reza Mohammadpour
In this paper we study ergodic optimization problems for typical cocycles. We consider one-step -cocycles that satisfy pinching and twisting conditions. We prove…
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…
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…
Zero temperature limits of equilibrium states for subadditive potentials and approximation of the maximal Lyapunov exponent
Reza Mohammadpour
In this paper we study ergodic optimization problems for subadditive sequences of functions on a topological dynamical system. We prove that for any accumulat…