Non-autonomous (or random) dynamical systems yield very flexible models for
the study of time-dependent systems, with driving mechanisms allowed to range
from deterministic forcing to stationary noise. Multiplicative ergodic
theorems (METs) encompass fundamental information for the study of transport
phenomena in such systems, including Lyapunov exponents, invariant measures
and coherent structures.
In this talk we will present and motivate recent developments on METs. We
will then discuss related stability questions, which arise naturally in
the context of non-autonomous systems from the use of numerical
approximation schemes, as well as from the presence of modelling errors
and noise. (This talk is based on joint work with Gary Froyland and
Anthony Quas.)
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