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Correlation Functions and the Spectrum of the Initial Fluctuations

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Book cover Galaxy Formation

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Abstract

To make quantitative comparisons between the theories of galaxy formation described in Chap. 13 and the observed distribution of galaxies, we need to make assumptions about the spectrum of the fluctuations from which galaxies and larger scale structures formed. The natural way of describing the distribution of galaxies on the large scale is in terms of correlation functions and their associated power spectra. The objective is to relate these properties of the distribution of galaxies at the present day to the spectrum of initial fluctuations which must have been present in the very early Universe. Let us first review the properties of the correlation function of galaxies at the present day, extending our introduction of Sect. 2.2.

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Reference

  • Bahcall, N. (1988). ARA&A, 26, 631.

    Article  ADS  Google Scholar 

  • Bahcall, N. (1997). In Critical Dialogues in Cosmology, (ed. N. Turok), 221. Singapore: World Scientific.

    Google Scholar 

  • Bardeen, J.M., Bond, J.R., Kaiser, N. and Szalay, A.S. (1986). ApJ, 304, 15.

    Article  ADS  Google Scholar 

  • Bond, J.R. & Szalay, A.S. (1983). ApJ, 276, 443.

    Article  ADS  Google Scholar 

  • Boyle, B., Jones, L.P., Shanks, T., Marano, B., Zitelli, V. and Zamorani, G. (1991). In The Space Distribution of Quasars, (ed. D. Crampton), 191. San Francisco: ASP Conference Series.

    Google Scholar 

  • Coles, P. & Lucchin, F. (1995). Cosmology — the Origin and Evolution of Cosmic Structure. Chichester: John Wiley & Sons.

    MATH  Google Scholar 

  • Davis, M. Efstathiou, G., Frenk, C.S. & White, S.D.M. (1985). ApJ, 292, 371.

    Google Scholar 

  • Davis, M., Efstathiou, G., Frenk, C.S. and White, S.D.M. (1992). Nat, 356, 489.

    Article  ADS  Google Scholar 

  • Dekel, A. (1987). Comments Astrophys., 11, 235.

    ADS  Google Scholar 

  • Dekel, A. and Rees, M.J. (1987). Nat, 326, 455.

    Article  ADS  Google Scholar 

  • Efstathiou, G. (1990). In Physics of the Early Universe, (eds. J.A. Peacock, A.F. Heavens & A.T. Davies), 361. Edinburgh: SUSSP Publications.

    Google Scholar 

  • Efstathiou and Bond (1986). MNRAS, 218, 103.

    ADS  Google Scholar 

  • Frenk, C.S. (1986). Phil. Trans. R. Soc. Lond., A 330, 517.

    Article  ADS  Google Scholar 

  • Hamilton, A.J.S., Kumar, P., Lu, E. and Matthews, A. (1991). ApJ, 374, L1.

    Article  ADS  Google Scholar 

  • Harrison, E.R. (1970). Phys. Rev., D1, 2726.

    ADS  Google Scholar 

  • Gott, J.R. (1977). In Critical Dialogues in Cosmology, (ed. N. Turok), 519. Singapore: World Scientific.

    Google Scholar 

  • Iovino, A., Shaver, P.A. and Christiani, S. (1991). In The Space Distribution of Quasars, (ed. D. Crampton), 202. San Francisco: ASP Conference Series.

    Google Scholar 

  • Kaiser, N. (1984). ApJ, 284, L9.

    Article  ADS  Google Scholar 

  • Kaiser, N. (1987).MNRAS, 277, 1.

    ADS  Google Scholar 

  • Kolb, E.W. & Turner, M.S. (1990). The Early Universe. Redwood City, California: Addison-Wesley Publishing Co.

    MATH  Google Scholar 

  • Longair, M.S. (1997). High Energy Astrophysics. Vol. 1. Cambridge: Cambridge University Press.

    Google Scholar 

  • Lynden-Bell, D. (1967). Mon. Not. Roy. Astron. Soc, 136, 101.

    ADS  Google Scholar 

  • Ostriker, J.P. and Cowie, L.L. (1981). ApJ, 243, L127.

    Article  ADS  Google Scholar 

  • Padmanabhan, T. (1997). In Gravitation and Cosmology: Proc. ICGC-95 Confer¬ence, Pune, (eds. S. Dhurandhar and T. Padmanabhan), 37. Dordrecht: Kluwer Academic Publishers.

    Google Scholar 

  • Peacock, J.A. and Heavens, A.F. (1985). MNRAS, 217, 805.

    ADS  Google Scholar 

  • Peacock, J.A. and Dodds, S.J. (1994). MNRAS, 267, 1020.

    ADS  Google Scholar 

  • Peebles, P.J.E. (1980). The Large-Scale Structure of the Universe. Princeton: Princeton University Press.

    Google Scholar 

  • Peebles, P.J.E. (1983). ApJ, 263, L1.

    Article  ADS  Google Scholar 

  • Peebles, P.J.E. (1993). Principles of Physical Cosmology. Princeton: Princeton Uni-versity Press.

    Google Scholar 

  • Shanks, T., Boyle, B.J., Fong, R. and Peterson, B.A. (1987). MNRAS, 227, 739.

    ADS  Google Scholar 

  • Sunyaev, R.A. and Zeldovich, Ya.B. (1970). Astrophys. Sp. Set, 9, 368.

    Article  ADS  Google Scholar 

  • Turok, N. (ed.) (1997). Critical Dialogues in Cosmology. Singapore: World Scientific.

    Google Scholar 

  • Zeldovich, Ya.B. (1972). MNAS, 160, 1.

    ADS  Google Scholar 

  • Zeldovich, Ya.B. (1993). In Selected Works of Yakov Borisevich Zeldovich, Vol. 2. Particles, Nuclei and the Universe, (eds. J.P. Ostriker, G.I. Barenblatt & R.A. Sunyaev). Princeton: Princeton University Press.

    Google Scholar 

  • Zeldovich, Ya.B. and Novikov, I.D. (1983). Relativistic Astrophysics, Vol. 2. Chicago: Chicago University Press.

    Google Scholar 

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Authors and Affiliations

  1. Department of Physics, Cavendish Laboratory, University of Cambridge, Mendengley Road, CB3 OHE, Cambridge, UK

    Prof. Malcolm S. Longair

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  1. Prof. Malcolm S. Longair
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© 1998 Springer-Verlag Berlin Heidelberg

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Longair, M.S. (1998). Correlation Functions and the Spectrum of the Initial Fluctuations. In: Galaxy Formation. Astronomy and Astrophysics Library. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03571-9_14

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  • DOI: https://doi.org/10.1007/978-3-662-03571-9_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-03573-3

  • Online ISBN: 978-3-662-03571-9

  • eBook Packages: Springer Book Archive

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