Ellipsoidal collapse and an improved model for the number and spatial distribution of dark matter haloes

@article{Sheth2001EllipsoidalCA,
  title={Ellipsoidal collapse and an improved model for the number and spatial distribution of dark matter haloes},
  author={Ravi K. Sheth and H. J. Mo Giuseppe Tormen},
  journal={Monthly Notices of the Royal Astronomical Society},
  year={2001},
  volume={323},
  pages={1-12}
}
The Press–Schechter, excursion set approach allows one to make predictions about the shape and evolution of the mass function of bound objects. The approach combines the assumption that objects collapse spherically with the assumption that the initial density fluctuations were Gaussian and small. The predicted mass function is reasonably accurate, although it has fewer high-mass and more low-mass objects than are seen in simulations of hierarchical clustering. We show that the discrepancy… 

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