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| Stability properties of dynamical systems are of fundamental interest to applied scientists, because models are imperfect representations of reality. In this talk, we will discuss recent stability results which are relevant for the study of transport phenomena in non-autonomous dynamical systems. They cover perturbations arising from numerical approximation schemes and random noise.
The first result concerns stability of non-autonomous counterparts of stationary distributions or physical invariant measures -- so-called random acims (absolutely continuous invariant measures) -- in the context of piecewise expanding interval maps. The second one concerns stochastic stability of Oseledets splittings and Lyapunov exponents for semi-invertible matrix cocycles. |
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