Several, apparently distinct, formalisms exist in the literature for predicting the clustering of dark matter halos. It has been noticed on a case-by-case basis that the predictions of these different methods agree in specific examples, but there is no general proof that they are equivalent. In this paper, we give a simple proof of the mathematical equivalence of barrier crossing, peak-background split, and local biasing.
@article{arxiv.1209.2175,
title = {On the Equivalence of Barrier Crossing, Peak-Background Split, and Local Biasing},
author = {Simone Ferraro and Kendrick M. Smith and Daniel Green and Daniel Baumann},
journal= {arXiv preprint arXiv:1209.2175},
year = {2013}
}