标题： 用WMAP和PLANCK数据测试宇宙的各向同性 显示英文标题

标题： Testing isotropy of cosmos with WMAP and PLANCK data

摘要： 近年来，有许多研究支持统计各向同性的破坏。同时，也有一些研究也发现了不一致之处。我们使用文献中之前定义的功率张量方法来研究新的CMBR数据。这三个正交向量的方向以及每个向量相关的功率包含了关于统计各向同性可能破坏的信息。这些信息被编码在两个熵度量中，即功率熵和对齐熵。我们将这种方法应用于WMAP 9年和PLANCK数据。在此，我们重新审视了我们在早期论文中报告的高l异常的统计，并发现早期WMAP 5年数据中看到的高各向同性程度在修订后的WMAP 9年数据中不存在。 显示英文摘要

摘要： In recent years, there have been a large number of studies which support violation of statistical isotropy. Meanwhile, there are some studies which also found inconsistency. We use the power tensor method defined earlier in the literature to study the new CMBR data. The orientation of these three orthogonal vectors, as well as the power associated with each vector, contains information about possible violation of statistical isotropy. This information is encoded in two entropy measures, the power-entropy and alignment- entropy. We apply this method to WMAP 9-year and PLANCK data. Here, we also revisit the statistics to test high-l anomaly reported in our earlier paper and find that the high degree of isotropy seen in earlier WMAP 5-year data is absent in the revised WMAP 9-year data.