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Title: Planck 2018 results. VII. Isotropy and Statistics of the CMB

Abstract

Analysis of the Planck 2018 data set indicates that the statistical properties of the cosmic microwave background (CMB) temperature anisotropies are in excellent agreement with previous studies using the 2013 and 2015 data releases. In particular, they are consistent with the Gaussian predictions of the ΛCDM cosmological model, yet also confirm the presence of several so-called “anomalies” on large angular scales. The novelty of the current study, however, lies in being a first attempt at a comprehensive analysis of the statistics of the polarization signal over all angular scales, using either maps of the Stokes parameters, Q and U, or the E-mode signal derived from these using a new methodology (which we describe in an appendix). Although remarkable progress has been made in reducing the systematic effects that contaminated the 2015 polarization maps on large angular scales, it is still the case that residual systematics (and our ability to simulate them) can limit some tests of non-Gaussianity and isotropy. However, a detailed set of null tests applied to the maps indicates that these issues do not dominate the analysis on intermediate and large angular scales (i.e., ≲ 400). In this regime, no unambiguous detections of cosmological non-Gaussianity, or ofmore » anomalies corresponding to those seen in temperature, are claimed. Notably, the stacking of CMB polarization signals centred on the positions of temperature hot and cold spots exhibits excellent agreement with the ΛCDM cosmological model, and also gives a clear indication of how Planck provides state-of-the-art measurements of CMB temperature and polarization on degree scales.« less

Authors:
; ; ; ; ; ORCiD logo; ; ; ; ; ; ; ; ; ; ; ; ; ; more »; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; « less
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
Contributing Org.:
Planck Collaboration
OSTI Identifier:
1676383
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Astronomy and Astrophysics
Additional Journal Information:
Journal Volume: 641; Journal ID: ISSN 0004-6361
Publisher:
EDP Sciences
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; cosmology: observations; cosmic background radiation; polarization; methods: data analysis; methods: statistical

Citation Formats

Akrami, Y., Ashdown, M., Aumont, J., Baccigalupi, C., Ballardini, M., Banday, A. J., Barreiro, R. B., Bartolo, N., Basak, S., Benabed, K., Bersanelli, M., Bielewicz, P., Bock, J. J., Bond, J. R., Borrill, J., Bouchet, F. R., Boulanger, F., Bucher, M., Burigana, C., Butler, R. C., Calabrese, E., Cardoso, J. -F., Casaponsa, B., Chiang, H. C., Colombo, L. L., Combet, C., Contreras, D., Crill, B. P., de Bernardis, P., de Zotti, G., Delabrouille, J., Delouis, J. -M., Di Valentino, E., Diego, J. M., Doré, O., Douspis, M., Ducout, A., Dupac, X., Efstathiou, G., Elsner, F., Enßlin, T. A., Eriksen, H. K., Fantaye, Y., Fernandez-Cobos, R., Finelli, F., Frailis, M., Fraisse, A. A., Franceschi, E., Frolov, A., Galeotta, S., Galli, S., Ganga, K., Génova-Santos, R. T., Gerbino, M., Ghosh, T., González-Nuevo, J., Górski, K. M., Gruppuso, A., Gudmundsson, J. E., Hamann, J., Handley, W., Hansen, F. K., Herranz, D., Hivon, E., Huang, Z., Jaffe, A. H., Jones, W. C., Keihänen, E., Keskitalo, R., Kiiveri, K., Kim, J., Krachmalnicoff, N., Kunz, M., Kurki-Suonio, H., Lagache, G., Lamarre, J. -M., Lasenby, A., Lattanzi, M., Lawrence, C. R., Le Jeune, M., Levrier, F., Liguori, M., Lilje, P. B., Lindholm, V., López-Caniego, M., Ma, Y. -Z., Macías-Pérez, J. F., Maggio, G., Maino, D., Mandolesi, N., Mangilli, A., Marcos-Caballero, A., Maris, M., Martin, P. G., Martínez-González, E., Matarrese, S., Mauri, N., McEwen, J. D., Meinhold, P. R., Mennella, A., Migliaccio, M., Miville-Deschênes, M. -A., Molinari, D., Moneti, A., Montier, L., Morgante, G., Moss, A., Natoli, P., Pagano, L., Paoletti, D., Partridge, B., Perrotta, F., Pettorino, V., Piacentini, F., Polenta, G., Puget, J. -L., Rachen, J. P., Reinecke, M., Remazeilles, M., Renzi, A., Rocha, G., Rosset, C., Roudier, G., Rubiño-Martín, J. A., Ruiz-Granados, B., Salvati, L., Savelainen, M., Scott, D., Shellard, E. S., Sirignano, C., Sunyaev, R., Suur-Uski, A. -S., Tauber, J. A., Tavagnacco, D., Tenti, M., Toffolatti, L., Tomasi, M., Trombetti, T., Valenziano, L., Valiviita, J., Van Tent, B., Vielva, P., Villa, F., Vittorio, N., Wandelt, B. D., Wehus, I. K., Zacchei, A., Zibin, J. P., and Zonca, A. Planck 2018 results. VII. Isotropy and Statistics of the CMB. United States: N. p., 2020. Web. doi:10.1051/0004-6361/201935201.
Akrami, Y., Ashdown, M., Aumont, J., Baccigalupi, C., Ballardini, M., Banday, A. J., Barreiro, R. B., Bartolo, N., Basak, S., Benabed, K., Bersanelli, M., Bielewicz, P., Bock, J. J., Bond, J. R., Borrill, J., Bouchet, F. R., Boulanger, F., Bucher, M., Burigana, C., Butler, R. C., Calabrese, E., Cardoso, J. -F., Casaponsa, B., Chiang, H. C., Colombo, L. L., Combet, C., Contreras, D., Crill, B. P., de Bernardis, P., de Zotti, G., Delabrouille, J., Delouis, J. -M., Di Valentino, E., Diego, J. M., Doré, O., Douspis, M., Ducout, A., Dupac, X., Efstathiou, G., Elsner, F., Enßlin, T. A., Eriksen, H. K., Fantaye, Y., Fernandez-Cobos, R., Finelli, F., Frailis, M., Fraisse, A. A., Franceschi, E., Frolov, A., Galeotta, S., Galli, S., Ganga, K., Génova-Santos, R. T., Gerbino, M., Ghosh, T., González-Nuevo, J., Górski, K. M., Gruppuso, A., Gudmundsson, J. E., Hamann, J., Handley, W., Hansen, F. K., Herranz, D., Hivon, E., Huang, Z., Jaffe, A. H., Jones, W. C., Keihänen, E., Keskitalo, R., Kiiveri, K., Kim, J., Krachmalnicoff, N., Kunz, M., Kurki-Suonio, H., Lagache, G., Lamarre, J. -M., Lasenby, A., Lattanzi, M., Lawrence, C. R., Le Jeune, M., Levrier, F., Liguori, M., Lilje, P. B., Lindholm, V., López-Caniego, M., Ma, Y. -Z., Macías-Pérez, J. F., Maggio, G., Maino, D., Mandolesi, N., Mangilli, A., Marcos-Caballero, A., Maris, M., Martin, P. G., Martínez-González, E., Matarrese, S., Mauri, N., McEwen, J. D., Meinhold, P. R., Mennella, A., Migliaccio, M., Miville-Deschênes, M. -A., Molinari, D., Moneti, A., Montier, L., Morgante, G., Moss, A., Natoli, P., Pagano, L., Paoletti, D., Partridge, B., Perrotta, F., Pettorino, V., Piacentini, F., Polenta, G., Puget, J. -L., Rachen, J. P., Reinecke, M., Remazeilles, M., Renzi, A., Rocha, G., Rosset, C., Roudier, G., Rubiño-Martín, J. A., Ruiz-Granados, B., Salvati, L., Savelainen, M., Scott, D., Shellard, E. S., Sirignano, C., Sunyaev, R., Suur-Uski, A. -S., Tauber, J. A., Tavagnacco, D., Tenti, M., Toffolatti, L., Tomasi, M., Trombetti, T., Valenziano, L., Valiviita, J., Van Tent, B., Vielva, P., Villa, F., Vittorio, N., Wandelt, B. D., Wehus, I. K., Zacchei, A., Zibin, J. P., & Zonca, A. Planck 2018 results. VII. Isotropy and Statistics of the CMB. United States. https://doi.org/10.1051/0004-6361/201935201
Akrami, Y., Ashdown, M., Aumont, J., Baccigalupi, C., Ballardini, M., Banday, A. J., Barreiro, R. B., Bartolo, N., Basak, S., Benabed, K., Bersanelli, M., Bielewicz, P., Bock, J. J., Bond, J. R., Borrill, J., Bouchet, F. R., Boulanger, F., Bucher, M., Burigana, C., Butler, R. C., Calabrese, E., Cardoso, J. -F., Casaponsa, B., Chiang, H. C., Colombo, L. L., Combet, C., Contreras, D., Crill, B. P., de Bernardis, P., de Zotti, G., Delabrouille, J., Delouis, J. -M., Di Valentino, E., Diego, J. M., Doré, O., Douspis, M., Ducout, A., Dupac, X., Efstathiou, G., Elsner, F., Enßlin, T. A., Eriksen, H. K., Fantaye, Y., Fernandez-Cobos, R., Finelli, F., Frailis, M., Fraisse, A. A., Franceschi, E., Frolov, A., Galeotta, S., Galli, S., Ganga, K., Génova-Santos, R. T., Gerbino, M., Ghosh, T., González-Nuevo, J., Górski, K. M., Gruppuso, A., Gudmundsson, J. E., Hamann, J., Handley, W., Hansen, F. K., Herranz, D., Hivon, E., Huang, Z., Jaffe, A. H., Jones, W. C., Keihänen, E., Keskitalo, R., Kiiveri, K., Kim, J., Krachmalnicoff, N., Kunz, M., Kurki-Suonio, H., Lagache, G., Lamarre, J. -M., Lasenby, A., Lattanzi, M., Lawrence, C. R., Le Jeune, M., Levrier, F., Liguori, M., Lilje, P. B., Lindholm, V., López-Caniego, M., Ma, Y. -Z., Macías-Pérez, J. F., Maggio, G., Maino, D., Mandolesi, N., Mangilli, A., Marcos-Caballero, A., Maris, M., Martin, P. G., Martínez-González, E., Matarrese, S., Mauri, N., McEwen, J. D., Meinhold, P. R., Mennella, A., Migliaccio, M., Miville-Deschênes, M. -A., Molinari, D., Moneti, A., Montier, L., Morgante, G., Moss, A., Natoli, P., Pagano, L., Paoletti, D., Partridge, B., Perrotta, F., Pettorino, V., Piacentini, F., Polenta, G., Puget, J. -L., Rachen, J. P., Reinecke, M., Remazeilles, M., Renzi, A., Rocha, G., Rosset, C., Roudier, G., Rubiño-Martín, J. A., Ruiz-Granados, B., Salvati, L., Savelainen, M., Scott, D., Shellard, E. S., Sirignano, C., Sunyaev, R., Suur-Uski, A. -S., Tauber, J. A., Tavagnacco, D., Tenti, M., Toffolatti, L., Tomasi, M., Trombetti, T., Valenziano, L., Valiviita, J., Van Tent, B., Vielva, P., Villa, F., Vittorio, N., Wandelt, B. D., Wehus, I. K., Zacchei, A., Zibin, J. P., and Zonca, A. Fri . "Planck 2018 results. VII. Isotropy and Statistics of the CMB". United States. https://doi.org/10.1051/0004-6361/201935201. https://www.osti.gov/servlets/purl/1676383.
@article{osti_1676383,
title = {Planck 2018 results. VII. Isotropy and Statistics of the CMB},
author = {Akrami, Y. and Ashdown, M. and Aumont, J. and Baccigalupi, C. and Ballardini, M. and Banday, A. J. and Barreiro, R. B. and Bartolo, N. and Basak, S. and Benabed, K. and Bersanelli, M. and Bielewicz, P. and Bock, J. J. and Bond, J. R. and Borrill, J. and Bouchet, F. R. and Boulanger, F. and Bucher, M. and Burigana, C. and Butler, R. C. and Calabrese, E. and Cardoso, J. -F. and Casaponsa, B. and Chiang, H. C. and Colombo, L. L. and Combet, C. and Contreras, D. and Crill, B. P. and de Bernardis, P. and de Zotti, G. and Delabrouille, J. and Delouis, J. -M. and Di Valentino, E. and Diego, J. M. and Doré, O. and Douspis, M. and Ducout, A. and Dupac, X. and Efstathiou, G. and Elsner, F. and Enßlin, T. A. and Eriksen, H. K. and Fantaye, Y. and Fernandez-Cobos, R. and Finelli, F. and Frailis, M. and Fraisse, A. A. and Franceschi, E. and Frolov, A. and Galeotta, S. and Galli, S. and Ganga, K. and Génova-Santos, R. T. and Gerbino, M. and Ghosh, T. and González-Nuevo, J. and Górski, K. M. and Gruppuso, A. and Gudmundsson, J. E. and Hamann, J. and Handley, W. and Hansen, F. K. and Herranz, D. and Hivon, E. and Huang, Z. and Jaffe, A. H. and Jones, W. C. and Keihänen, E. and Keskitalo, R. and Kiiveri, K. and Kim, J. and Krachmalnicoff, N. and Kunz, M. and Kurki-Suonio, H. and Lagache, G. and Lamarre, J. -M. and Lasenby, A. and Lattanzi, M. and Lawrence, C. R. and Le Jeune, M. and Levrier, F. and Liguori, M. and Lilje, P. B. and Lindholm, V. and López-Caniego, M. and Ma, Y. -Z. and Macías-Pérez, J. F. and Maggio, G. and Maino, D. and Mandolesi, N. and Mangilli, A. and Marcos-Caballero, A. and Maris, M. and Martin, P. G. and Martínez-González, E. and Matarrese, S. and Mauri, N. and McEwen, J. D. and Meinhold, P. R. and Mennella, A. and Migliaccio, M. and Miville-Deschênes, M. -A. and Molinari, D. and Moneti, A. and Montier, L. and Morgante, G. and Moss, A. and Natoli, P. and Pagano, L. and Paoletti, D. and Partridge, B. and Perrotta, F. and Pettorino, V. and Piacentini, F. and Polenta, G. and Puget, J. -L. and Rachen, J. P. and Reinecke, M. and Remazeilles, M. and Renzi, A. and Rocha, G. and Rosset, C. and Roudier, G. and Rubiño-Martín, J. A. and Ruiz-Granados, B. and Salvati, L. and Savelainen, M. and Scott, D. and Shellard, E. S. and Sirignano, C. and Sunyaev, R. and Suur-Uski, A. -S. and Tauber, J. A. and Tavagnacco, D. and Tenti, M. and Toffolatti, L. and Tomasi, M. and Trombetti, T. and Valenziano, L. and Valiviita, J. and Van Tent, B. and Vielva, P. and Villa, F. and Vittorio, N. and Wandelt, B. D. and Wehus, I. K. and Zacchei, A. and Zibin, J. P. and Zonca, A.},
abstractNote = {Analysis of the Planck 2018 data set indicates that the statistical properties of the cosmic microwave background (CMB) temperature anisotropies are in excellent agreement with previous studies using the 2013 and 2015 data releases. In particular, they are consistent with the Gaussian predictions of the ΛCDM cosmological model, yet also confirm the presence of several so-called “anomalies” on large angular scales. The novelty of the current study, however, lies in being a first attempt at a comprehensive analysis of the statistics of the polarization signal over all angular scales, using either maps of the Stokes parameters, Q and U, or the E-mode signal derived from these using a new methodology (which we describe in an appendix). Although remarkable progress has been made in reducing the systematic effects that contaminated the 2015 polarization maps on large angular scales, it is still the case that residual systematics (and our ability to simulate them) can limit some tests of non-Gaussianity and isotropy. However, a detailed set of null tests applied to the maps indicates that these issues do not dominate the analysis on intermediate and large angular scales (i.e., ℓ ≲ 400). In this regime, no unambiguous detections of cosmological non-Gaussianity, or of anomalies corresponding to those seen in temperature, are claimed. Notably, the stacking of CMB polarization signals centred on the positions of temperature hot and cold spots exhibits excellent agreement with the ΛCDM cosmological model, and also gives a clear indication of how Planck provides state-of-the-art measurements of CMB temperature and polarization on degree scales.},
doi = {10.1051/0004-6361/201935201},
journal = {Astronomy and Astrophysics},
number = ,
volume = 641,
place = {United States},
year = {Fri Sep 11 00:00:00 EDT 2020},
month = {Fri Sep 11 00:00:00 EDT 2020}
}

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Figures / Tables:

Fig. 1 Fig. 1: Component-separated CMB maps at 80′ resolution. Columns show temperature $T$ , and $E-$ and $B-$mode maps, respectively, while rows show results derived with different component-separation methods. The temperature maps are inpainted within the common mask, but are otherwise identical to those described in Planck Collaboration IV (2020). Themore » $E-$ and $B-$mode maps are derived from the Stokes $Q$ and $U$ maps following the method described in Appendix A. The dark lines indicate the corresponding common masks used for analysis of the maps at this resolution. Monopoles and dipoles have been subtracted from the temperature maps, with parameters fitted to the data after applying the common mask.« less

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Works referenced in this record:

THE TWO- AND THREE-POINT CORRELATION FUNCTIONS OF THE POLARIZED FIVE-YEAR WMAP SKY MAPS
journal, January 2010


Examination of Evidence for a Preferred Axis in the Cosmic Radiation Anisotropy
journal, August 2005


Low-order multipole maps of cosmic microwave background anisotropy derived from WMAP
journal, December 2004


FAST PIXEL SPACE CONVOLUTION FOR COSMIC MICROWAVE BACKGROUND SURVEYS WITH ASYMMETRIC BEAMS AND COMPLEX SCAN STRATEGIES: FEBeCoP
journal, January 2011

  • Mitra, S.; Rocha, G.; Górski, K. M.
  • The Astrophysical Journal Supplement Series, Vol. 193, Issue 1
  • DOI: 10.1088/0067-0049/193/1/5

Lack of large-angle TT correlations persists in WMAP and Planck
journal, June 2015

  • Copi, Craig J.; Huterer, Dragan; Schwarz, Dominik J.
  • Monthly Notices of the Royal Astronomical Society, Vol. 451, Issue 3
  • DOI: 10.1093/mnras/stv1143

CMB data analysis and sparsity
journal, July 2008


Planck 2015 results : VII. High Frequency Instrument data processing: Time-ordered information and beams
journal, September 2016


Cosmic microwave background polarization as a probe of the anomalous nature of the cold spot: CMB polarization for probing the cold spot
journal, September 2010


The Axis of Evil - A Polarization Perspective
conference, April 2010

  • Frommert, Mona; Ensslin, Torsten A.
  • Proceedings of International Workshop on Cosmic Structure and Evolution — PoS(Cosmology2009)
  • DOI: 10.22323/1.097.0015

Tilted physics: A cosmologically dipole-modulated sky
journal, July 2011


Invariant joint distribution of a stationary random field and its derivatives: Euler characteristic and critical point counts in 2 and 3D
journal, October 2009


Planck 2015 results : XII. Full focal plane simulations
journal, September 2016


The three-point function in large-scale structure: redshift distortions and galaxy bias
journal, August 2005


HEALPix: A Framework for High‐Resolution Discretization and Fast Analysis of Data Distributed on the Sphere
journal, April 2005

  • Gorski, K. M.; Hivon, E.; Banday, A. J.
  • The Astrophysical Journal, Vol. 622, Issue 2
  • DOI: 10.1086/427976

Planck intermediate results : XLIX. Parity-violation constraints from polarization data
journal, December 2016


Non-Gaussian statistics of critical sets in 2D and 3D: Peaks, voids, saddles, genus, and skeleton
journal, January 2012


No large-angle correlations on the non-Galactic microwave sky
text, January 2008


Detection of a non-Gaussian spot in WMAP
journal, January 2005


Planck 2018 results: I. Overview and the cosmological legacy of Planck
journal, September 2020


An iteration method for the solution of the eigenvalue problem of linear differential and integral operators
journal, October 1950

  • Lanczos, C.
  • Journal of Research of the National Bureau of Standards, Vol. 45, Issue 4
  • DOI: 10.6028/jres.045.026

Planck 2018 results: IV. Diffuse component separation
journal, September 2020


Planck 2013 results. XIX. The integrated Sachs-Wolfe effect
journal, October 2014


Planck 2015 results : XVII. Constraints on primordial non-Gaussianity
journal, September 2016


Planck 2015 results : XXI. The integrated Sachs-Wolfe effect
journal, September 2016


First‐Year Wilkinson Microwave Anisotropy Probe ( WMAP ) Observations: Preliminary Maps and Basic Results
journal, September 2003

  • Bennett, C. L.; Halpern, M.; Hinshaw, G.
  • The Astrophysical Journal Supplement Series, Vol. 148, Issue 1
  • DOI: 10.1086/377253

Avoiding bias in reconstructing the largest observable scales from partial-sky data
journal, November 2011


Low-order multipole maps of CMB anisotropy derived from WMAP
text, January 2004


Planck 2018 results: VIII. Gravitational lensing
journal, September 2020


Anomalous variance in the WMAP data and Galactic foreground residuals: Anomalous CMB variance
journal, January 2011


CMB multipole measurements in the presence of foregrounds
journal, July 2006


Planck 2018 results: X. Constraints on inflation
journal, September 2020


Application of XFaster power spectrum and likelihood estimator to Planck: XFaster applied to Planck
journal, May 2011


Non-Gaussianity and Minkowski functionals: forecasts for Planck
journal, December 2012

  • Ducout, A.; Bouchet, F. R.; Colombi, S.
  • Monthly Notices of the Royal Astronomical Society, Vol. 429, Issue 3
  • DOI: 10.1093/mnras/sts483

On Minkowski Functionals of CMB polarization
journal, August 2017


Pseudo- C estimators which do not mix E and B modes
journal, October 2006


The Hot and Cold Spots in the Wilkinson Microwave Anisotropy Probe Data Are Not Hot and Cold Enough
journal, September 2004

  • Larson, David L.; Wandelt, Benjamin D.
  • The Astrophysical Journal, Vol. 613, Issue 2
  • DOI: 10.1086/425250

Testing physical models for dipolar asymmetry with CMB polarization
journal, December 2017


The hot and cold spots in five-year WMAP data
journal, July 2009


Planck 2018 results: V. CMB power spectra and likelihoods
journal, September 2020


Power asymmetry in CMB polarization maps from PLANCK : a local variance analysis
preprint, January 2017


Planck 2018 results: VI. Cosmological parameters
journal, September 2020


Asymptotics for spherical needlets
journal, June 2009

  • Baldi, P.; Kerkyacharian, G.; Marinucci, D.
  • The Annals of Statistics, Vol. 37, Issue 3
  • DOI: 10.1214/08-aos601

POWER ASYMMETRY IN WMAP AND PLANCK TEMPERATURE SKY MAPS AS MEASURED BY A LOCAL VARIANCE ESTIMATOR
journal, March 2014


Is the Universe odd?
journal, November 2005


Applications of the Gaussian kinematic formula to CMB data analysis
journal, March 2015


A novel estimator of the polarization amplitude from normally distributed Stokes parameters
journal, February 2014

  • Plaszczynski, S.; Montier, L.; Levrier, F.
  • Monthly Notices of the Royal Astronomical Society, Vol. 439, Issue 4
  • DOI: 10.1093/mnras/stu270

Excessive Shift of the CMB Acoustic Peaks of the Cold Spot Area
journal, June 2018


Aspects of the cosmic microwave background dipole
journal, March 2003


The evens and odds of CMB anomalies
journal, June 2018


The statistics of cosmic background radiation fluctuations
journal, June 1987

  • Bond, J. R.; Efstathiou, G.
  • Monthly Notices of the Royal Astronomical Society, Vol. 226, Issue 3
  • DOI: 10.1093/mnras/226.3.655

No large-angle correlations on the non-Galactic microwave sky
journal, October 2009

  • Copi, Craig J.; Huterer, Dragan; Schwarz, Dominik J.
  • Monthly Notices of the Royal Astronomical Society, Vol. 399, Issue 1
  • DOI: 10.1111/j.1365-2966.2009.15270.x

Why your model parameter confidences might be too optimistic. Unbiased estimation of the inverse covariance matrix
journal, December 2006


Local properties of the large-scale peaks of the CMB temperature
journal, May 2017

  • Marcos-Caballero, A.; Martínez-González, E.; Vielva, P.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 05
  • DOI: 10.1088/1475-7516/2017/05/023

Higher Criticism statistic: detecting and identifying non-Gaussianity in the WMAP first-year data
journal, September 2005


Power Asymmetry in Cosmic Microwave Background Fluctuations from full sky to Sub-Degree Scales: is the Universe Isotropic?
journal, October 2009


The GRAVITY young stellar object survey: II. First spatially resolved observations of the CO bandhead emission in a high-mass YSO
journal, March 2020


Analysis of CMB polarization on an incomplete sky
journal, December 2001


The shape of CMB temperature and polarization peaks on the sphere
journal, April 2016

  • Marcos-Caballero, A.; Fernández-Cobos, R.; Martínez-González, E.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 04
  • DOI: 10.1088/1475-7516/2016/04/058

Planck 2013 results. XXVII. Doppler boosting of the CMB: Eppur si muove
journal, October 2014


Covariance of CMB anomalies
journal, July 2018


Planck 2013 results. XXIV. Constraints on primordial non-Gaussianity
journal, October 2014


First‐Year Wilkinson Microwave Anisotropy Probe ( WMAP ) Observations: Determination of Cosmological Parameters
journal, September 2003

  • Spergel, D. N.; Verde, L.; Peiris, H. V.
  • The Astrophysical Journal Supplement Series, Vol. 148, Issue 1
  • DOI: 10.1086/377226

Low- CMB analysis and inpainting
journal, January 2013


Closet non-Gaussianity of anisotropic Gaussian fluctuations
journal, October 1997


Planck 2018 results: II. Low Frequency Instrument data processing
journal, September 2020


Pure E and B polarization maps via Wiener filtering
journal, August 2017


Isotropic non-Gaussian g NL -like toy models that reproduce cosmic microwave background anomalies
journal, June 2019


Using CMB polarization to constrain the anomalous nature of the Cold Spot with an incomplete-sky coverage
journal, September 2013

  • Fernández-Cobos, R.; Vielva, P.; Martínez-González, E.
  • Monthly Notices of the Royal Astronomical Society, Vol. 435, Issue 4
  • DOI: 10.1093/mnras/stt1505

Testing physical models for dipolar asymmetry: From temperature to k space to lensing
journal, March 2017


The N ‐Point Correlation Functions of the First‐Year Wilkinson Microwave Anisotropy Probe Sky Maps
journal, March 2005

  • Eriksen, H. K.; Banday, A. J.; Gorski, K. M.
  • The Astrophysical Journal, Vol. 622, Issue 1
  • DOI: 10.1086/427897

Detection of a non-Gaussian spot in WMAP
journal, January 2005


The axis of evil - a polarization perspective
journal, April 2010


Planck 2013 results. XXII. Constraints on inflation
journal, October 2014


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journal, April 2010


Reconstruction of missing data using iterative harmonic expansion
journal, July 2016

  • Nishizawa, Atsushi J.; Inoue, Kaiki Taro
  • Monthly Notices of the Royal Astronomical Society, Vol. 462, Issue 1
  • DOI: 10.1093/mnras/stw1664

Multi-level adaptive solutions to boundary-value problems
journal, May 1977


Using inpainting to construct accurate cut-sky CMB estimators
journal, February 2017


Planck 2015 results : XVI. Isotropy and statistics of the CMB
journal, September 2016


The three-point function in large-scale structure: redshift distortions and galaxy bias
journal, August 2005


A comparison of CMB angular power spectrum estimators at large scales: the TT case
journal, April 2014

  • Molinari, D.; Gruppuso, A.; Polenta, G.
  • Monthly Notices of the Royal Astronomical Society, Vol. 440, Issue 2
  • DOI: 10.1093/mnras/stu386

New constraints on parity symmetry from a re-analysis of the WMAP-7 low-resolution power spectra: New WMAP-7 constraints on parity symmetry
journal, November 2010


Multiscale analysis of the CMB temperature derivatives
journal, February 2017

  • Marcos-Caballero, A.; Martínez-González, E.; Vielva, P.
  • Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 02
  • DOI: 10.1088/1475-7516/2017/02/026

Low variance at large scales of WMAP 9 year data
journal, July 2013


Planck 2013 results. XXIII. Isotropy and statistics of the CMB
journal, October 2014


Planck 2015 results : VIII. High Frequency Instrument data processing: Calibration and maps
journal, September 2016


SEVEN-YEAR WILKINSON MICROWAVE ANISOTROPY PROBE ( WMAP ) OBSERVATIONS: ARE THERE COSMIC MICROWAVE BACKGROUND ANOMALIES?
journal, January 2011

  • Bennett, C. L.; Hill, R. S.; Hinshaw, G.
  • The Astrophysical Journal Supplement Series, Vol. 192, Issue 2
  • DOI: 10.1088/0067-0049/192/2/17

Planck 2015 results : XV. Gravitational lensing
journal, September 2016


Filling in cosmic microwave background map missing data using constrained Gaussian realizations: Filling in missing CMB data
journal, June 2012


Large-angle cosmic microwave background suppression and polarization predictions
journal, August 2013

  • Copi, Craig J.; Huterer, Dragan; Schwarz, Dominik J.
  • Monthly Notices of the Royal Astronomical Society, Vol. 434, Issue 4
  • DOI: 10.1093/mnras/stt1287

All-sky analysis of polarization in the microwave background
journal, February 1997


MASTER of the Cosmic Microwave Background Anisotropy Power Spectrum: A Fast Method for Statistical Analysis of Large and Complex Cosmic Microwave Background Data Sets
journal, March 2002

  • Hivon, Eric; Gorski, Krzysztof M.; Netterfield, C. Barth
  • The Astrophysical Journal, Vol. 567, Issue 1
  • DOI: 10.1086/338126

Planck 2018 results: III. High Frequency Instrument data processing and frequency maps
journal, September 2020


Planck 2018 results: IX. Constraints on primordial non-Gaussianity
journal, September 2020


Anomalous variance in the WMAP data and Galactic Foreground residuals
text, January 2010


Higher Criticism statistic: detecting and identifying non-Gaussianity in the WMAP first-year data
journal, September 2005


A novel estimator of the polarization amplitude from normally distributed Stokes parameters
journal, February 2014

  • Plaszczynski, S.; Montier, L.; Levrier, F.
  • Monthly Notices of the Royal Astronomical Society, Vol. 439, Issue 4
  • DOI: 10.1093/mnras/stu270

A quantitative central limit theorem for the Euler–Poincaré characteristic of random spherical eigenfunctions
journal, November 2018

  • Cammarota, Valentina; Marinucci, Domenico
  • The Annals of Probability, Vol. 46, Issue 6
  • DOI: 10.1214/17-aop1245

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journal, March 2004


Spherical needlets for cosmic microwave background data analysis
journal, December 2007


Planck 2015 results : XX. Constraints on inflation
journal, September 2016


Planck 2018 results: XI. Polarized dust foregrounds
journal, September 2020


Detection of Non‐Gaussianity in the Wilkinson Microwave Anisotropy Probe First‐Year Data Using Spherical Wavelets
journal, July 2004

  • Vielva, P.; Martinez‐Gonzalez, E.; Barreiro, R. B.
  • The Astrophysical Journal, Vol. 609, Issue 1
  • DOI: 10.1086/421007

E/B decomposition of finite pixelized CMB maps
journal, January 2003


Statistics of cosmic microwave background polarization
journal, June 1997

  • Kamionkowski, Marc; Kosowsky, Arthur; Stebbins, Albert
  • Physical Review D, Vol. 55, Issue 12
  • DOI: 10.1103/PhysRevD.55.7368

Peculiar velocity effects in high-resolution microwave background experiments
journal, April 2002


Works referencing / citing this record:

Re-evaluating evidence for Hawking points in the CMB
journal, March 2020


Re-evaluating evidence for Hawking points in the CMB
text, January 2019


The flickering nuclear activity of Fornax A
journal, January 2020


CMB foreground measurements through broad-band radio spectro-polarimetry: prospects of the SKA-MPG telescope
journal, June 2019

  • Basu, Aritra; Schwarz, Dominik J.; Klöckner, Hans-Rainer
  • Monthly Notices of the Royal Astronomical Society, Vol. 488, Issue 2
  • DOI: 10.1093/mnras/stz1637

Local Bubble contribution to the 353-GHz dust polarized emission
journal, November 2019


A physical approach to modelling large-scale galactic magnetic fields
journal, March 2019


Extreme starlight polarization in a region with highly polarized dust emission
journal, April 2019


Reionization optical depth determination from Planck HFI data with ten percent accuracy
journal, March 2020


Gas shells and magnetic fields in the Orion-Eridanus superbubble
journal, October 2019


Link between EB polarization modes and gas column density from interstellar dust emission
journal, November 2019


Figures / Tables found in this record:

    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.