2016
DOI: 10.1093/mnras/stw1427
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Local analyses ofPlanckmaps with Minkowski functionals

Abstract: Minkowski Functionals (MF) are excellent tools to investigate the statistical properties of the cosmic background radiation (CMB) maps. Between their notorious advantages is the possibility to use them efficiently in patches of the CMB sphere, which allow studies in masked skies, inclusive analyses of small sky regions. Then, possible deviations from Gaussianity are investigated by comparison with MF obtained from a set of Gaussian isotropic simulated CMB maps to which are applied the same cut-sky masks. These… Show more

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Cited by 25 publications
(24 citation statements)
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“…The marginalized constraint on neutrino mass from three MFs combined improves that from the power spectrum alone by a factor of 4.82. Comparing the constraining power from the three MFs, we find that V 2 V 1 > V 0 , similar to findings in previous work [20,28,54]. This is because both perimeter (V 1 ) and genus (V 2 ) are sensitive to not only the overall distribution of under/over-density, as probed by area (V 0 ), but also their spatial information.…”
Section: Joint Constraintssupporting
confidence: 88%
“…The marginalized constraint on neutrino mass from three MFs combined improves that from the power spectrum alone by a factor of 4.82. Comparing the constraining power from the three MFs, we find that V 2 V 1 > V 0 , similar to findings in previous work [20,28,54]. This is because both perimeter (V 1 ) and genus (V 2 ) are sensitive to not only the overall distribution of under/over-density, as probed by area (V 0 ), but also their spatial information.…”
Section: Joint Constraintssupporting
confidence: 88%
“…The statistical isotropy of the universe is being tested for many extragalactic objects like Radio sources (Blake & Wall 2002;Ghosh et al 2016), Gamma-ray bursts (Bernui et al 2008a;Tarnopolski 2017;Řípa & Shafiello 2018), galaxy clusters (Bengaly et al 2017a), and galaxy datasets like the WISE (Yoon et al 2014;Bengaly et al 2017b;Novaes et al 2018) and the SDSS catalogues (Sarkar et al 2019), where all these analyses show a good concordance with the isotropy of the universe. The Planck Convergence and Cosmic Microwave Background temperature fluctuations maps have been examined and are also consistent with statistical isotropy at small angular scales (Ade et al 2016;Novaes et al 2016;Marques et al 2018), although some controversy remains at large angles (Bernui 2008b;Gruppuso et al 2013; Polase-mail: felipeavila@on.br tri, Gruppuso & Natoli 2015;Schwarz et al 2016;Aluri, Ralston & Weltman 2017;Rath et al 2017;Bernui et al 2018).…”
Section: Introductionmentioning
confidence: 87%
“…Besides, the projected isotropy of the Planck convergence map [19] and of the WISE galaxy map [20][21][22][23] have been also investigated without indications of a possible CP violation. The cosmic microwave background (CMB) radiation is also consistent with statistical isotropy at small angular scales [24][25][26], although some controversy exists at the largest scales [27][28][29][30][31][32][33][34][35].…”
Section: Introductionmentioning
confidence: 99%