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An excursion set model of hierarchical clustering: ellipsoidal collapse and the moving barrier

An excursion set model of hierarchical clustering: ellipsoidal collapse and the moving barrier

The excursion set approach allows one to estimate the abundance and spatial distribution of virialized dark matter haloes efficiently and accurately. The predictions of this approach depend on how the non-linear processes of collapse and virialization are modelled. We present simple analytic approximations that allow us to compare the excursion …