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Paper   IPM / P / 8041
School of Physics
  Title:   New Computational Approaches to Analysis of CMB Map: the Statistical Isotropy and Gaussianity
1.  M.S. Movahed
2.  F. Ghasemi
3.  S. Rahvar
4.  M.R. Rahimi Tabar
  Status:   Preprint
  Year:  2006
  Supported by:  IPM
We investigate the statistical isotropy and Gaussianity of temperature fluctuations of Cosmic Microwave Background radiation (CMB) data from Wilkinson Microwave Anisotropy Probe survey, using the Multifractal Detrended Fluctuation Analysis, Rescaled Range and Scaled Windowed Variance methods. These methods verify that there is no evidence for violation of statistical isotropy in CMB data. The multifractal detrended fluctuation analysis shows that Cosmic Microwave Background fluctuations has a long range correlation function with a multifractal behavior. By comparing our analysis with the artificial shuffled and surrogate series of CMB data, we conclude that the multifractality nature of temperature fluctuation of CMB is mainly due to the long-range correlations and the map is consistent with a Gaussian distribution.

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