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arXiv 0704.3657astro-phmath-phmath.MP
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高斯宇宙微波背景多极矢量的概率密度

Probability Density of the Multipole Vectors for a Gaussian Cosmic Microwave Background

Mark R. Dennis, Kate Land

摘要:

我们回顾了麦克斯韦的多极矢量,并阐明了它们的一些数学性质,重点是这个工具的应用宇宙微波背景(CMB)。特别是,对于一个完全随机函数的球(对应于统计各向同性高斯模型的CMB),我们推导出全概率密度函数的多极向量。利用该函数对Wilkinson微波各向异性探测器的四极子和八极子内部结构进行了分析,结果表明观测结果与高斯预测一致。一个特别的方面是八极的平面性,我们发现它并不反常。

英文摘要:

We review Maxwell's multipole vectors, and elucidate some of their mathematical properties, with emphasis on the application of this tool to the cosmic microwave background (CMB). In particular, for a completely random function on the sphere (corresponding to the statistically isotropic Gaussian model of the CMB), we derive the full probability density function of the multipole vectors. This function is used to analyze the internal configurations of the third-year Wilkinson Microwave Anisotropy Probe quadrupole and octopole, and we show the observations are consistent with the Gaussian prediction. A particular aspect is the planarity of the octopole, which we find not to be anomalous.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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