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Acknowledgements. KPG is thankful for the many fruitful discussions with Michael Dellnitz over the past more than twenty years. His fundamental contributions to the transfer operator based analysis of transport processes in dynamical systems have had a huge impact on the development of the overall field and on her own research. GF thanks Michael Dellnitz for countless stimulating mathematical discussions, for introducing him to the idea of almost-invariant sets, and for introducing him to his German colleagues in the late 90s, many of whom remain collaborators (and friends). Michael Dellnitz has also been one of the drivers of the Priority Programme SPP 1881 Turbulent Superstructures of the Deutsche Forschungsgemeinschaft by which the present work is supported and the authors are grateful for this. GF additionally thanks Universities Australia and the DAAD for a joint research travel grant, which partially supported his visit to Germany.

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