After recalling what is linear response in a deterministic setting, I will explain how one
can generalize this notion for non-autonomous systems, notably for random compositions of
uniformly expanding maps. Recently, in a joint work with Davor Dragicevic and Paolo Giulietti,
we established a linear response result under a weaker expanding on average condition, which
allow us to choose randomly among families containing neutral or contracting maps. The proof
relies on the study of the Lyapunov spectrum of a transfer operator cocycle, and on ad-hoc
perturbation results.
Quenched linear response for expanding on average cocycles
29.04.2022 17:00 - 18:00
Organiser:
H. Bruin, R. Zweimüller
Location: