Perturbation formulae for quenched random dynamics with applications to open systems and extreme value theory

Jason Atnip, Gary Froyland, Cecilia Gonzalez-Tokman +1

We consider quasi-compact linear operator cocycles ${\mathcal{L}}_{\omega }^n:={\mathcal{L}}_{{\sigma }^{n-1}\omega }\circ \cdots \circ {\mathcal{L}}_{\sigma \omega }\circ {\mathcal{L}}_{\omega }$ driven by an invertible ergodic pr…