On the Equivalence of Barrier Crossing, Peak-Background Split, and Local Biasing

Simone FerraroKendrick M. SmithDaniel GreenDaniel Baumann2024-02-022024-02-022012-09-1100358711https://scholars.lib.ntu.edu.tw/handle/123456789/63957920 pages, 1 figureSeveral, 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.Cosmology | Theory-large-scale structure of Universe; astro-ph.CO; astro-ph.COOn the Equivalence of Barrier Crossing, Peak-Background Split, and Local Biasingjournal article10.1093/mnras/stt12722-s2.0-84884795485http://arxiv.org/abs/1209.2175v1