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Cited by 1,922

The DOI matches its Crossref record; 228 of the 228 references it cites were found in a registry or an index.

Large-scale structure of the Universe and cosmological perturbation theory

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Bernardeau, F., Colombi, S., Gaztañaga, E., Scoccimarro, R.·2002·Physics Reports
DOI 10.1016/s0370-1573(02)00135-7
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Abstract

Abstract We review the formalism and applications of non-linear perturbation theory (PT) to understanding the large-scale structure of the Universe. We first discuss the dynamics of gravitational instability, from the linear to the non-linear regime. This includes Eulerian and Lagrangian PT, non-linear approximations, and a brief description of numerical simulation techniques. We then cover the basic statistical tools used in cosmology to describe cosmic fields, such as correlation functions in real and Fourier space, probability distribution functions, cumulants and generating functions. In subsequent sections we review the use of PT to make quantitative predictions about these statistics according to initial conditions, including effects of possible non-Gaussianity of the primordial fields. Results are illustrated by detailed comparisons of PT predictions with numerical simulations. The last sections deal with applications to observations. First, we review in detail practical estimators of statistics in galaxy catalogs and related errors, including traditional approaches and more recent developments. Then, we consider the effects of the bias between the galaxy distribution and the matter distribution, the treatment of redshift distortions in three-dimensional surveys and of projection effects in angular catalogs, and some applications to weak gravitational lensing. We finally review the current observational situation regarding statistics in galaxy catalogs and what the future generation of galaxy surveys promises to deliver.

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Metadata

Authors
Bernardeau, F., Colombi, S., Gaztañaga, E., & Scoccimarro, R.
Venue
Physics Reports
Publisher
Elsevier BV
Published
2002-09
Volume
367
Issue
1-3
Pages
1-248
ISSN
0370-1573 (ISSN-L)
DOI
10.1016/s0370-1573(02)00135-7
OpenAlex
W2030392256
Cited by
1,922
References
228
FWCI
16.29
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Large-scale structure of the Universe and cosmological perturbation theory. https://app.cochat.ai/papers/10.1016/s0370-1573(02)00135-7
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Bernardeau, F., Colombi, S., Gaztañaga, E., & Scoccimarro, R. (2002). Large-scale structure of the Universe and cosmological perturbation theory. Physics Reports. https://doi.org/10.1016/s0370-1573(02)00135-7

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.