Search for anomalous alignments of structures in Planck data using Minkowski Tensors
作者： P.K. Joby , Pravabati Chingangbam , Tuhin Ghosh , Vidhya Ganesan , C.D. Ravikumar
DOI: 10.1088/1475-7516/2019/01/009
关键词:
摘要: Minkowski Tensors are tensorial generalizations of the scalar Functionals. Due to their nature they contain additional morphological information structures, in particular about shape and alignment, comparison functionals. They have recently been used [29] study statistical isotropy temperature E mode data from Planck satellite. The calculation relied on stereographic projection fields extract alignment information. In this work, we calculate directly sphere compute net data, based a recent work that extends definition random curved spaces. This method circumvents numerical errors can be introduced by projection. We compare resulting parameter values obtained frequency coadded CMB cleaned SMICA pipeline, those simulations include instrumental beam effects residual foreground noise. find very good agreement between two within $\approx$ 1$\sigma$ . further alignments beam-convolved maps at individual frequencies corresponding simulations. no significant difference observed across all frequencies, except for 30 GHz channel. For channel 2$\sigma$ mild disagreement most likely originates inaccurate estimation GHz.
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sci-hub.se 参考文章(76)
S. Alesker, Description of Continuous Isometry Covariant Valuations on Convex Sets Geometriae Dedicata. ,vol. 74, pp. 241- 248 ,(1999) , 10.1023/A:1005035232264
R Adam, Peter AR Ade, N Aghanim, MIR Alves, M Arnaud, M Ashdown, J Aumont, C Baccigalupi, AJ Banday, RB Barreiro, JG Bartlett, N. Bartolo, E Battaner, K Benabed, A Benoît, A Benoit-Lévy, J-P Bernard, M Bersanelli, P Bielewicz, JJ Bock, A Bonaldi, L Bonavera, JR Bond, J Borrill, FR Bouchet, F Boulanger, M Bucher, CARLO Burigana, RC Butler, E. Calabrese, J-F Cardoso, A Catalano, A Challinor, A Chamballu, R-R Chary, HC Chiang, PR Christensen, DL Clements, S Colombi, LPL Colombo, C Combet, F Couchot, A Coulais, BP Crill, A Curto, F Cuttaia, L Danese, RD Davies, RJ Davis, Paolo de Bernardis, A De Rosa, Giulia De Zotti, J Delabrouille, F-X Desert, C Dickinson, JM Diego, H Dole, SIMONA Donzelli, O Doré, M Douspis, A Ducout, X Dupac, G Efstathiou, F Elsner, TA Enßlin, HK Eriksen, E Falgarone, J Fergusson, F Finelli, O Forni, M Frailis, AA Fraisse, E Franceschi, A Frejsel, S Galeotta, S Galli, K Ganga, T Ghosh, M Giard, Y Giraud-Héraud, Eirik Gjerløw, J González-Nuevo, KM Górski, S Gratton, Anna Gregorio, A Gruppuso, Jón E Gudmundsson, Frode Kristian Hansen, D Hanson, DL Harrison, G Helou, S Henrot-Versillé, C Hernández-Monteagudo, D Herranz, SR Hildebrandt, E Hivon, M Hobson, WA Holmes, A. Hornstrup, W Hovest, KM Huffenberger, G Hurier, AH Jaffe, TR Jaffe, William C Jones, M Juvela, E Keihänen, R Keskitalo, TS Kisner, R Kneissl, J Knoche, M Kunz, H Kurki-Suonio, G Lagache, A Lähteenmäki, J-M Lamarre, A Lasenby, M Lattanzi, CR Lawrence, M Le Jeune, JP Leahy, R Leonardi, J Lesgourgues, F Levrier, Michele Liguori, Per Barth Lilje, Michael Linden-Vørnle, M López-Caniego, PM Lubin, JF Macias-Perez, G Maggio, D Maino, N Mandolesi, A Mangilli, M Maris, DJ Marshall, PG Martin, E Martínez-González, Silvia Masi, S. Matarrese, P McGehee, PR Meinhold, A. Melchiorri, L Mendes, A Mennella, M Migliaccio, Susanta Mitra, M-A Miville-Deschenes, A Moneti, L Montier, None, Planck 2015 results - X. Diffuse component separation: Foreground maps Astronomy and Astrophysics. ,vol. 594, pp. 1- 63 ,(2016) , 10.1051/0004-6361/201525967
R. Fernández-Cobos, P. Vielva, R. B. Barreiro, E. Martínez-González, Multiresolution internal template cleaning: an application to the Wilkinson Microwave Anisotropy Probe 7-yr polarization data Monthly Notices of the Royal Astronomical Society. ,vol. 420, pp. 2162- 2169 ,(2012) , 10.1111/J.1365-2966.2011.20182.X
Anthony Challinor, Antony Lewis, Anthony Lasenby, Efficient computation of CMB anisotropies in closed FRW models The Astrophysical Journal. ,vol. 538, pp. 473- 476 ,(2000) , 10.1086/309179
Eugene A. Lim, Dennis Simon, Can we detect Hot or Cold spots in the CMB with Minkowski Functionals arXiv: Cosmology and Nongalactic Astrophysics. ,(2011) , 10.1088/1475-7516/2012/01/048
G. F. Smoot, C. L. Bennett, A. Kogut, E. L. Wright, J. Aymon, N. W. Boggess, E. S. Cheng, G. de Amici, S. Gulkis, M. G. Hauser, G. Hinshaw, P. D. Jackson, M. Janssen, E. Kaita, T. Kelsall, P. Keegstra, C. Lineweaver, K. Loewenstein, P. Lubin, J. Mather, S. S. Meyer, S. H. Moseley, T. Murdock, L. Rokke, R. F. Silverberg, L. Tenorio, R. Weiss, D. T. Wilkinson, Structure in the COBE differential microwave radiometer first-year maps The Astrophysical Journal. ,vol. 396, pp. L1- ,(1992) , 10.1086/186504
G.E. SCHRÖDER-TURK, S. KAPFER, B. BREIDENBACH, C. BEISBART, K. MECKE, Tensorial Minkowski functionals and anisotropy measures for planar patterns. Journal of Microscopy. ,vol. 238, pp. 57- 74 ,(2010) , 10.1111/J.1365-2818.2009.03331.X
K. M. Gorski, E. Hivon, A. J. Banday, B. D. Wandelt, F. K. Hansen, M. Reinecke, M. Bartelmann, HEALPix: A Framework for High-Resolution Discretization and Fast Analysis of Data Distributed on the Sphere The Astrophysical Journal. ,vol. 622, pp. 759- 771 ,(2005) , 10.1086/427976
A. A. Penzias, R. W. Wilson, A Measurement of excess antenna temperature at 4080-Mc/s The Astrophysical Journal. ,vol. 142, pp. 419- 421 ,(1965) , 10.1086/148307
Thomas Schücker, André Tilquin, Galliano Valent, Bianchi I meets the Hubble diagram Monthly Notices of the Royal Astronomical Society. ,vol. 444, pp. 2820- 2836 ,(2014) , 10.1093/MNRAS/STU1656