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The latest cosmological data seem to indicate a significant deviation from scale invariance of the primordial power spectrum when parameterized either by a power law or by a spectral index with non-zero "running".
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M. Tegmark, M. R. Blanton, M. A. Strauss, F. Hoyle, D. Schlegel, R. Scoccimarro, M. S. Vogeley, D. H. Weinberg, I. Zehavi, A. Berlind, T. Budavari, A. Connolly, and et al., The Three-Dimensional Power Spectrum of Galaxies from the Sloan Digital Sky Survey
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2004
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2004
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2004
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S. Hannestad, Reconstructing the primordial power spectrum–a new algorithm
2004
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A. Shafieloo and T. Souradeep, Primordial power spectrum from WMAP
2004
Cited alongside, same era.
N. Kogo, M. Matsumiya, M. Sasaki, and J. Yokoyama, Reconstructing the Primordial Spectrum from WMAP Data by the Cosmic Inversion Method
2004
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C. L. Kuo, P. A. R. Ade, J. J. Bock, C. Cantalupo, M. D. Daub, J. Goldstein, W. L. Holzapfel, A. E. Lange, M. Lueker, M. Newcomb, J. B. Peterson, J. Ruhl, M. C. Runyan, and E. Torbet, High-Resolution Observations of the Cosmic Microwave Background Power Spectrum with ACBAR
2004
Cited alongside, same era.
S. Cole, C. M. Baugh, J. Bland-Hawthorn, T. Bridges, R. Cannon, S. Cole, M. Colless, C. Collins, W. Couch, G. Dalton, R. De Propris, S. P. Driver, G. Efstathiou, R. S. Ellis, C. S. Frenk, and et al., The 2dF Galaxy Redshift Survey: power-spectrum analysis of the final data set and cosmological implications
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2006
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D. Tocchini-Valentini, Y. Hoffman, and J. Silk, Non-parametric reconstruction of the primordial power spectrum at horizon scales from WMAP data
2006
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S. Leach, Measuring the primordial power spectrum: Principal component analysis of the cosmic microwave background
2006
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Spergel, R. Bean, O. Doré, M. R. Nolta, C. L. Bennett, J. Dunkley, G. Hinshaw, N. Jarosik, E. Komatsu, L. Page, H. V. Peiris, L. Verde, M. Halpern, R. S. Hill, A. Kogut, M. Limon, S. S. Meyer, N. Odegard, G. S. Tucker, J. L. Weiland, E. Wollack, and E. L. Wright, Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Cosmology
2007
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2005
Cited alongside, same era.
A. Lasenby and C. Doran, Closed universes, de Sitter space, and inflation
2005
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R. Easther, W. H. Kinney, and H. Peiris, Observing trans-Planckian signatures in the cosmic microwave background
2005
Cited alongside, same era.
C. Sealfon, L. Verde, and R. Jimenez, Smoothing spline primordial power spectrum reconstruction
2005
Cited alongside, same era.
D. Tocchini-Valentini, M. Douspis, and J. Silk, A new search for features in the primordial power spectrum
2005
Cited alongside, same era.
P. Mukherjee and Y. Wang, Primordial power spectrum reconstruction
2005
Cited alongside, same era.
W. C. Jones, P. A. R. Ade, J. J. Bock, J. R. Bond, J. Borrill, A. Boscaleri, P. Cabella, C. R. Contaldi, and B. P. e. a. Crill, A Measurement of the Angular Power Spectrum of the CMB Temperature Anisotropy from the 2003 Flight of BOOMERANG
2006
Cited alongside, same era.
R. Easther and H. Peiris, Implications of a running spectral index for slow roll inflation
2006
Cited alongside, same era.
C. L. Kuo, P. A. R. Ade, J. J. Bock, J. R. Bond, C. R. Contaldi, M. D. Daub, J. H. Goldstein, W. L. Holzapfel, A. E. Lange, M. Lueker, M. Newcomb, J. B. Peterson, C. Reichardt, J. Ruhl, M. C. Runyan, and Z. Staniszweski, Improved Measurements of the CMB Power Spectrum with ACBAR
2007
Later among the works it cites.
B. Feng, J.-Q. Xia, and J. Yokoyama, Scale dependence of the primordial spectrum from combining the three-year WMAP, Galaxy Clustering, Supernovae, and Lyman-alpha forests
2007
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M. Bridges, A. N. Lasenby, and M. P. Hobson, WMAP 3-yr primordial power spectrum
2007
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C. Pahud, A. R. Liddle, P. Mukherjee, and D. Parkinson, When can the Planck satellite measure spectral index running?
2007
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R. Trotta, Applications of Bayesian model selection to cosmological parameters
2007
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2007
Later among the works it cites.
K. M. Huffenberger, H. K. Eriksen, F. K. Hansen, A. J. Banday, and K. M. Gorski, The scalar perturbation spectral index n_s: WMAP sensitivity to unresolved point sources
2007
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H. K. Eriksen, G. Huey, R. Saha, F. K. Hansen, J. Dick, A. J. Banday, K. M. Górski, P. Jain, J. B. Jewell, L. Knox, D. L. Larson, I. J. O’Dwyer, T. Souradeep, and B. D. Wandelt, A Reanalysis of the 3 Year Wilkinson Microwave Anisotropy Probe Temperature Power Spectrum and Likelihood
2007
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G. Hinshaw, M. R. Nolta, C. L. Bennett, R. Bean, O. Doré, M. R. Greason, M. Halpern, R. S. Hill, N. Jarosik, A. Kogut, E. Komatsu, M. Limon, and et al., Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Temperature Analysis
2007
Later among the works it cites.
L. Page, G. Hinshaw, E. Komatsu, M. R. Nolta, D. N. Spergel, C. L. Bennett, C. Barnes, R. Bean, O. Doré, J. Dunkley, M. Halpern, R. S. Hill, N. Jarosik, A. Kogut, M. Limon, S. S. Meyer, N. Odegard, H. V. Peiris, G. S. Tucker, L. Verde, J. L. Weiland, E. Wollack, and E. L. Wright, Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Polarization Analysis
2007
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W. J. Percival, R. C. Nichol, D. J. Eisenstein, J. A. Frieman, M. Fukugita, J. Loveday, A. C. Pope, D. P. Schneider, A. S. Szalay, M. Tegmark, M. S. Vogeley, D. H. Weinberg, I. Zehavi, N. A. Bahcall, J. Brinkmann, A. J. Connolly, and A. Meiksin, The Shape of the Sloan Digital Sky Survey Data Release 5 Galaxy Power Spectrum
2007
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2008
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C. L. Reichardt, P. A. R. Ade, J. J. Bock, J. R. Bond, J. A. Brevik, C. R. Contaldi, M. D. Daub, J. T. Dempsey, J. H. Goldstein, W. L. Holzapfel, C. L. Kuo, A. E. Lange, M. Lueker, M. Newcomb, J. B. Peterson, J. Ruhl, M. C. Runyan, and Z. Staniszewski, High resolution CMB power spectrum from the complete ACBAR data set
2008
Closest in time.