On the thermodynamic formalism of linear cocycles

Title: 

On the thermodynamic formalism of linear cocycles

Abstract: 

Equilibrium states for hyperbolic maps and Holder continuous cocycles are known to exist and satisfy good statistical properties (including central limit theorems, almost sure invariance principle and exponential large deviations). Much less is known in case of equilibrium states for non-additive families of potentials.  I will present some recent results on the thermodynamic formalism of Holder continuous fiber-bunched matrix cocycles and discuss some applications to Anosov diffeomorphisms and hyperbolic repellers. This is based on a joint work with Reza Mohammadpour (Uppsala).