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Reconstructing the primordial spectrum of fluctuations of the universe from the observed nonlinear clustering of galaxies
Abstract
We have discovered that the nonlinear evolution of the two point correlation function in N-body experiments of galaxy clustering with {OMEGA} = 1 appears to be described to good approximation by a simple general formula. The underlying form of the formula is physically motivated, but its detailed representation is obtained empirically by fitting to N-body experiments. We present here this formula, along with an inverse formula which converts a final, nonlinear correlation function into the initial, linear correlation function. We apply the inverse formula to observational data from the CfA, IRAS, and APM galaxy surveys, and hence reconstruct the initial spectrum of fluctuations of the universe, if {OMEGA} = 1.
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Cited by
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Smith, R. E., Peacock, J. A., Jenkins, A., White, S. D. M., Frenk, C. S., Pearce, F. R., Thomas, P. A., Efstathiou, G., & Couchman, H. M. P. (2003) · Monthly Notices of the Royal Astronomical Society · doi:10.1046/j.1365-8711.2003.06503.x · Cited by 2,054
Measuring and modelling the redshift evolution of clustering: the Hubble Deep Field North
Arnouts, S., Cristiani, S., Moscardini, L., Matarrese, S., Lucchin, F., Fontana, A., & Giallongo, E. (1999) · Monthly Notices of the Royal Astronomical Society · doi:10.1046/j.1365-8711.1999.02978.x · Cited by 985
First‐Year Wilkinson Microwave Anisotropy Probe(WMAP) Observations: Parameter Estimation Methodology
Verde, L., Peiris, H. V., Spergel, D. N., Nolta, M. R., Bennett, C. L., Halpern, M., Hinshaw, G., Jarosik, N., Kogut, A., Limon, M., et al. (2003) · The Astrophysical Journal Supplement Series · doi:10.1086/377335 · Cited by 579
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Strauss, M. A., & Willick, J. A. (1995) · Physics Reports · doi:10.1016/0370-1573(95)00013-7 · Cited by 567
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Hu, W., Eisenstein, D. J., & Tegmark, M. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.5255 · Cited by 444
Metadata
- Authors
- Hamilton, A. J. S., Matthews, A., Kumar, P., & Lu, E.
- Venue
- The Astrophysical Journal
- Publisher
- American Astronomical Society
- Published
- 1991-06
- Volume
- 374
- Pages
- L1
- ISSN
- 0004-637X (ISSN-L)
- 1538-4357
- OpenAlex
- W2069480899
- Cited by
- 354
- References
- 0
- FWCI
- 2.86
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Reconstructing the primordial spectrum of fluctuations of the universe from the observed nonlinear clustering of galaxies. https://app.cochat.ai/papers/10.1086/186057
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- Hamilton, A. J. S., Matthews, A., Kumar, P., & Lu, E. (1991). Reconstructing the primordial spectrum of fluctuations of the universe from the observed nonlinear clustering of galaxies. The Astrophysical Journal. https://doi.org/10.1086/186057
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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