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On the Equivalence of Barrier Crossing, Peak-Background Split, and Local Biasing
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On the Equivalence of Barrier Crossing, Peak-Background Split, and Local Biasing
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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.
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GGI Lectures on Large-Scale Structure Perturbation Theory (Effective Field Theory)
Pedagogical notes derive large-scale-structure EFT from symmetries, covering SPT failures, BAO IR resummation, counterterms, galaxy bias, redshift-space distortions, and Lagrangian PT.
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