Lyapunov–Oseledets spectrum for transfer operator cocycles under perturbations
Cecilia González Tokman (U Queensland)

In recent years, the study of transfer operators has been combined with multiplicative ergodic theory to shed light on ergodic-theoretic properties of random dynamical systems. The so-called Lyapunov– Oseledets spectrum associated to the transfer operator cocycle contains fundamental information about invariant measures, exponential decay rates and coherent structures which characterize dominant global transport features of the system. While the scope of this framework is broad, it is challenging to identify and approximate this spectrum. In this talk, we present examples of maps where the Lyapunov– Oseledets spectrum can be understood and analyzed under perturbations. This talk is based on joint work with Anthony Quas.