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The Large-Scale Distribution of Matter in the Universe

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Catastrophe Theory
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Abstract

At the present time the distribution of matter in the universe is highly inhomogeneous (there are planets, the sun, stars, galaxies, clusters of galaxies and so on). Astrophysicists nowadays think that in the early stages of the development of the universe there was no such inhomogeneity. How did it come about? Ya. B. Zel’dovich in 1970 proposed an explanation of the formation of clusters of dustlike material that is mathematically equivalent to the analysis of the formation of singularities of caustics.

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Bibliographical Comments

  • Ya. B. Zeldovich: Gravitational instability: an approximate theory for large density perturbations. Astron. Astrophys. 5 (1970), 84–89.

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  • V. I. Arnol’d, S. F. Shandarin, Ya. B. Zeldovich: The Large Scale Structure of the Universe I. General properties. One and Two-Dimensional Models. Geophys. Astrophys. Fluid Dyn. 20 (1982), 111–130.

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  • V. I. Arnol’d: Some Algebro-Geometrical Aspects of the Newton Attraction Theory, in: Arithmetic and Geometry II: Geometry. Prog. Math. 36, Birkhäuser, Boston 1983, 1–3.

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  • S. F. Shandarin, Percolation theory and cellular structure of the universe (in Russian). Preprint, Inst. Appl. Math., USSR Academy of Sciences, 1982 nl 37, 1982, 1–15.

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© 1986 Springer-Verlag Berlin Heidelberg

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Arnold, V.I. (1986). The Large-Scale Distribution of Matter in the Universe. In: Catastrophe Theory. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-96937-9_9

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  • DOI: https://doi.org/10.1007/978-3-642-96937-9_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16199-8

  • Online ISBN: 978-3-642-96937-9

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