Halo abundances in thefnlmodel

2009/05/31 by Tsz Yan Lam, Ravi K. Sheth
Mathematics · Physics and Astronomy · #Astrophysics #Basis (linear algebra) #Constant (computer programming) #Cosmology and Gravitation Theories #Excursion #Galaxy #Gaussian #Gaussian network model #Geometry #Halo #Halo effect #Physics #Quantum mechanics #Statistical physics #Statistics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Uncorrelated #astro-ph.CO

paper · pdf · doi:10.1111/j.1365-2966.2009.15264.x

10 pages, 3 figures, match version accepted by MNRAS

arxiv created 2009/08/01 · openalex publication_date 2009/08/13 · arxiv updated 2015/05/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We show how the excursion set moving barrier model for halo abundances may be generalized to the local non-Gaussian fnl model. Our estimate assumes that the distribution of step sizes depends on fnl, but that they are otherwise uncorrelated. Our analysis is consistent with previous results for the case of a constant barrier, and highlights some implicit assumptions. It also clarifies the basis of an approximate analytic solution to the moving barrier problem in the Gaussian case, and shows how it might be improved.

Citations

• An excursion set model of hierarchical clustering: ellipsoidal collapse and the moving barrier
• Non-Gaussian features of primordial fluctuations in single field inflationary models
• The void abundance with non-gaussian primordial perturbations
• Probing primordial non-Gaussianity with large-scale structure
• A high-significance detection of non-Gaussianity in theWMAP5-yr data using directional spherical wavelets
• Non-Gaussian Halo Bias and Future Galaxy Surveys
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• FIVE-YEARWILKINSON MICROWAVE ANISOTROPY PROBEOBSERVATIONS: COSMOLOGICAL INTERPRETATION