TheN‐Point Correlation Functions of the First‐YearWilkinson Microwave Anisotropy ProbeSky Maps

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Abstract
We compute the two-, three- and four-point correlation functions from the Wilkinson Microwave Anisotropy Probe (WMAP) first-year data and compare these with a Monte Carlo ensemble of 5000 realizations based on the best-fit WMAP running-index spectrum of Gaussian fluctuations. The analysis is carried out in three steps, covering small (W-band difference maps as compared with the detailed noise simulations produced by the WMAP team, possibly indicative of unknown systematics. While unlikely to affect any temperature-based results, this effect could potentially be important for the upcoming polarization data. On intermediate angular scales we find hints of a similar anisotropic distribution of power as seen on the very largest scales, but not to the same extent. In general, the model is accepted on these scales. Finally, the same is also true on the smallest scales probed in this paper.