tokens: Acknowledgments We thank Christoph Behrens for providing the MDPL2 merger trees in the galacticus merger tree file format, and Shaun Cole and Yu Lu for helpful discussions. The author gratefully acknowledges the Gauss Centre for Supercomputing e.V. ( www.gauss-centre.eu ) and the Partnership for Advanced Supercomputing in Europe (PRACE, http://www.prace-ri.eu ) for funding the MultiDark simulation project by providing computing time on the GCS Supercomputer SuperMUC at Leibniz Supercomputing Centre (LRZ, http://www.lrz.de ). The CosmoSim data base used in this paper is a service by the Leibniz Institute for Astrophysics Potsdam (AIP). The MultiDark data base was developed in cooperation with the Spanish MultiDark Consolider Project CSD2009-00064.
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