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| The study of transport and mixing processes in dynamical systems is particularly important for the analysis of mathematical models of physical systems. In the autonomous setting, the use of transfer operators to identify invariant and almost-invariant sets has been particularly successful. In the nonautonomous setting, coherent sets, a time-parameterised family of minimally dispersive sets, are a natural extension of almost-invariant sets. Here we detail new results concerning the geometric characterisation of finite-time coherent sets, and describe an alternative construction based on transfer operators to find optimal coherent sets. |
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