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The perfection of local semi-flows and local random dynamical systems with applications to SDEs
by Chengcheng Ling, Michael Scheutzow, Isabell Vorkastner
Year:
2022
Publication:
Stochastics and Dynamics
Abstract:
We provide a rather general perfection result for crude local semi-flows taking values in a Polish space showing that a crude semi-flow has a modification which is a (perfect) local semi-flow which is invariant under a suitable metric dynamical system. Such a (local) semi-flow induces a (local) random dynamical system.