# The Cloud-in-Cloud Problem in the Press-Schechter Formalism of Hierarchical Structure Formation

Source: [The Cloud-in-Cloud Problem in the Press-Schechter Formalism of Hierarchical Structure Formation](<https://www.sota2.com/research/paper/68fa24162c2a37601939f2ab>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T07:56:42.544Z

Authors: K. Jedamzik

Published: 1994-08-24T00:50:06.000Z

## Abstract

The formalism by Press and Schechter (PS) is often used to infer number densities of virialized objects of mass M (e.g. quasars, galaxies, clusters of galaxies, etc.) from a count of initially overdense regions in a Gaussian density perturbation field. We reanalyze the PS-formalism by explicitly counting underdense regions which are embedded within overdense regions, so called cloud-in-clouds. In contrast to the original PS-formalism, our revised analysis automatically accounts for all the cosmic material. We find that mass distribution functions for virialized objects are altered by the proper solution of the cloud-in-cloud problem. These altered distribution functions agree much better with distribution functions inferred form N-body simulations than the original PS-distribution functions.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/astro-ph/9408080>)

[PDF](<https://arxiv.org/pdf/astro-ph/9408080.pdf>)