4 papers · 1 filter
Statistical properties of equilibrium states for fiber-bunched matrix cocycles and applications
Reza Mohammadpour, Paulo Varandas
We contribute to the thermodynamic formalism of Hölder continuous fiber-bunched matrix cocycles, Anosov diffeomorphisms, and hyperbolic repellers. Specifically, we prove that -t…
Non-unique equilibrium measures and freezing phase transitions for matrix cocycles for negative
Reza Mohammadpour, Anthony Quas
We consider a one-step matrix cocycle generated by a pair of non-negative parabolic matrices and study the equilibrium measures for as runs over the real…
Periodic approximation of topological Lyapunov exponents and the joint spectral radius for cocycles of mapping classes of surfaces
Anders Karlsson, Reza Mohammadpour
We study cocycles taking values in the mapping class group of closed surfaces and investigate their leading topological Lyapunov exponent. Under a natural closing property, we show…
Multifractal formalism of Lyapunov exponents for fiber-bunched linear cocycles
Reza Mohammadpour, Paulo Varandas
We develop a higher-dimensional extension of multifractal analysis for typical fiber-bunched linear cocycles. Our main result is a relative variational principle, which shows that…