Mathematics – Logic
Scientific paper
Aug 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983iaus..104..393e&link_type=abstract
IN: Early evolution of the universe and its present structure; Proceedings of the Symposium, Kolymbari, Greece, August 30-Septem
Mathematics
Logic
2
Big Bang Cosmology, Galactic Clusters, Gravitational Effects, Similarity Theorem, Boundary Value Problems, Mass Distribution, Poisson Density Functions, Velocity Distribution
Scientific paper
The nature of the distribution of galaxies poses a challenging problem for theorists. It seems reasonable, as a start, to suppose that galaxies and clusters arose from small perturbations by gravitational instability. However, one still has the problem of the choice of initial conditions, for example, the shape of the fluctuation spectrum and the cosmological density parameter. A considerable simplification is to assume that the clustering pattern obeys some simple similarity scaling, so that the clustering at some early time, apart from a change in length scale, is statistically indistinguishable from the pattern observed today. The power-law shape of the two-point correlation function and the simple forms of higher order correlation functions (Peebles, 1980) have provided some evidence that such a simplifying assumption may be relevant. Just how relevant is the subject of this article.
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