scholarly journals CMB statistical isotropy confirmation at all scales using multipole vectors

2020 ◽  
Vol 30 ◽  
pp. 100608
Author(s):  
Renan A. Oliveira ◽  
Thiago S. Pereira ◽  
Miguel Quartin
Keyword(s):  
Statistical Isotropy

scholarly journals Testing isotropy of cosmos with WMAP and PLANCK data

2015 ◽  
Vol 30 (27) ◽  
pp. 1550131 ◽  
Author(s):  
Pranati K. Rath ◽  
Pramoda Kumar Samal
Keyword(s):  
Planck Data ◽  
Tensor Method ◽  
Entropy Measures ◽  
High Degree ◽  
Statistical Isotropy

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-[Formula: see text] 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.

scholarly journals Testing statistical isotropy in cosmic microwave background polarization maps

2018 ◽  
Vol 475 (4) ◽  
pp. 4357-4366 ◽  
Author(s):  
Pranati K Rath ◽  
Pramoda Kumar Samal ◽  
Srikanta Panda ◽  
Debesh D Mishra ◽  
Pavan K Aluri
Keyword(s):  
Cosmic Microwave Background ◽  
Microwave Background ◽  
Cosmic Microwave Background Polarization ◽  
Statistical Isotropy

scholarly journals Search for Non-Gaussianities in the WMAP Data with the Scaling Index Method

2011 ◽  
Vol 2011 ◽  
pp. 1-21 ◽  
Author(s):  
G. Rossmanith ◽  
H. Modest ◽  
C. Räth ◽  
A. J. Banday ◽  
K. M. Górski ◽  
...  
Keyword(s):  
Structural Characteristics ◽  
Microwave Background ◽  
Index Method ◽  
Data Set ◽  
Local Type ◽  
Statistical Measures ◽  
Wmap Data ◽  
Statistical Isotropy ◽  
Scaling Index ◽  
Scaling Index Method

In the recent years, non-Gaussianity and statistical isotropy of the Cosmic Microwave Background (CMB) was investigated with various statistical measures, first and foremost by means of the measurements of the WMAP satellite. In this paper, we focus on the analyses that were accomplished with a measure of local type, the so-calledScaling Index Method(SIM). The SIM is able to detect structural characteristics of a given data set and has proven to be highly valuable in CMB analysis. It was used for comparing the data set with simulations as well as surrogates, which are full-sky maps generated by randomisation of previously selected features of the original map. During these investigations, strong evidence for non-Gaussianities as well as asymmetries and local features could be detected. In combination with the surrogates approach, the SIM detected the highest significances for non-Gaussianity to date.

scholarly journals Probing Statistical Isotropy of Cosmological Radio Sources using Square Kilometre Array

2016 ◽  
Vol 37 (4) ◽  
Author(s):  
Shamik Ghosh ◽  
Pankaj Jain ◽  
Gopal Kashyap ◽  
Rahul Kothari ◽  
Sharvari Nadkarni-Ghosh ◽  
...  
Keyword(s):  
Radio Sources ◽  
Square Kilometre Array ◽  
Statistical Isotropy

scholarly journals Geometrical meaning of statistical isotropy of smooth random fields in two dimensions

2021 ◽  
Vol 104 (12) ◽  
Author(s):  
Pravabati Chingangbam ◽  
Priya Goyal ◽  
K. P. Yogendran ◽  
Stephen Appleby
Keyword(s):  
Random Fields ◽  
Two Dimensions ◽  
Geometrical Meaning ◽  
Statistical Isotropy
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