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The statistics of cosmic background radiation fluctuations

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Bond, J. R., Efstathiou, G.·1987·Monthly Notices of the Royal Astronomical Society

Abstract

We present computations of the radiation correlation functions and angular power spectra for microwave background anisotropies expected in Ω = 1 cold dark matter dominated universes with scale-invariant adiabatic or isocurvature initial conditions. The results are valid on all angular scales. We describe the statistical properties of the radiation pattern and develop the theory of two-dimensional Gaussian random fields. A large number of properties of such fields may be derived analytically or semi-analytically, such as the number densities of hotspots and coldspots, the eccentricities of peaks and peak correlation properties. The formulae presented here provide valuable insight into the textural characteristics of the microwave background anisotropies and must be satisfied if the primordial fluctuations are Gaussian. The assumption of Gaussian initial conditions allow us to make highly specific predictions for the pattern of the temperature anisotropies. This is demonstrated by the construction of maps of the fluctuations predicted for the total intensity and the polarization.

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Metadata

Authors
Bond, J. R., & Efstathiou, G.
Venue
Monthly Notices of the Royal Astronomical Society
Published
1987-06-01
Volume
226
Issue
3
Pages
655-687
ISSN
  • 0035-8711 (ISSN-L)
  • 1365-2966
OpenAlex
W2010341663
Cited by
630
References
0
FWCI
15.97
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: The statistics of cosmic background radiation fluctuations. https://app.cochat.ai/papers/10.1093/mnras/226.3.655
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Bond, J. R., & Efstathiou, G. (1987). The statistics of cosmic background radiation fluctuations. Monthly Notices of the Royal Astronomical Society. https://doi.org/10.1093/mnras/226.3.655

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