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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/192864

Fixing a rigorous formalism for the accurate analytic derivation of halo properties

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We establish a one-to-one correspondence between virialized haloes and their seeds, namely peaks with a given density contrast at appropriate Gaussian-filtering radii, in the initial Gaussian random density field. This fixes a rigorous formalism for the analytic derivation of halo properties from the linear power spectrum of density perturbations in any hierarchical cosmology. The typical spherically averaged density profile and mass function of haloes so obtained match those found in numerical simulations.

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JUAN ROVIRA, Enric, et al. Fixing a rigorous formalism for the accurate analytic derivation of halo properties. Monthly Notices of the Royal Astronomical Society. 2014. Vol. 439, num. 71-76. ISSN 0035-8711. [consulted: 8 of June of 2026]. Available at: https://hdl.handle.net/2445/192864

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