The correlation function for density perturbations in an expanding universe. II - Nonlinear theory

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Big Bang Cosmology, Correlation, Density Distribution, Perturbation Theory, Functionals, Galactic Evolution, Integral Equations

Scientific paper

A formalism is developed to find the two-point and higher-order correlation functions for a given distribution of sizes and shapes of perturbations which are randomly placed in three-dimensional space. The perturbations are described by two parameters such as central density and size, and the two-point correlation function is explicitly related to the luminosity function of groups and clusters of galaxies

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