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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". This deviation, by itself,…

Astrophysics · Physics 2011-05-12 Licia Verde , Hiranya V. Peiris

Cosmological parameter estimation from forthcoming experiments promise to reach much greater precision than current constraints. As statistical errors shrink, the required control over systematic errors increases. Therefore, models or…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-07 José Luis Bernal , Nicola Bellomo , Alvise Raccanelli , Licia Verde

(ABRIDGED) We present a power spectrum analysis of the 10K catalogue from the 2dF QSO Redshift Survey. We compare the redshift-space power spectra of QSOs to those measured for galaxies and Abell clusters at low redshift and find that they…

The recent WMAP data represents a milestone in cosmology and helps constrain cosmological parameters with unprecedented accuracy. In this work we combine the WMAP data with previous CMB anisotropy measurements at smaller angular scales to…

Astrophysics · Physics 2015-06-24 C. J. Odman

The angular power spectrum is a natural tool to analyse the observed galaxy number count fluctuations. In a standard analysis, the angular galaxy distribution is sliced into concentric redshift bins and all correlations of its harmonic…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-14 Guglielmo Faggioli , Konstantinos Tanidis , Stefano Camera

This is the second part of a thorough investigation of the redshift-space effects that affect void properties and the impact they have on cosmological tests. Here, we focus on the void-galaxy cross-correlation function, specifically, on the…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-20 Carlos M. Correa , Dante J. Paz , Nelson D. Padilla , Ariel G. Sánchez , Andrés N. Ruiz , Raúl E. Angulo

Efficient computation of the angular bispectrum is an essential part of modelling large-scale structure observations, but it still remains an extremely challenging task. In this work, we compute the tree-level, unequal-time angular…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-29 Zucheng Gao , Zvonimir Vlah , Anthony Challinor

The large-scale structure of the Universe and its evolution over time contains an abundance of cosmological information. One way to unlock this is by measuring the density and momentum power spectrum from the positions and peculiar…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-03 Fei Qin , Cullan Howlett , David Parkinson

The power-grid frequency reflects the balance between electricity supply and demand. Measuring the frequency and its variations allows monitoring of the power balance in the system and, thus, the grid stability. In addition, gaining insight…

Systems and Control · Electrical Eng. & Systems 2023-09-01 Xinyi Wen , Mehrnaz Anvari , Leonardo Rydin Gorjao , G. Cigdem Yalcin , Veit Hagenmeyer , Benjamin Schafer

We explore linear redshift distortions in wide angle surveys from the point of view of symmetries. We show that the redshift space two-point correlation function can be expanded into tripolar spherical harmonics of zero total angular…

Astrophysics · Physics 2009-11-10 Istvan Szapudi

The three-point correlation function (3PCF) can now be measured in large galaxy redshift surveys, but in three dimensions its interpretation is complicated by the presence of redshift-space distortions. I investigate the projected 3PCF,…

Astrophysics · Physics 2009-11-10 Zheng Zheng

Cross-correlating the lensing signals of galaxies and comic microwave background (CMB) fluctuations is expected to provide valuable cosmological information. In particular it may help tighten constraints on parameters describing the…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-14 Philipp M. Merkel , Bjoern Malte Schaefer

The peculiar velocities of galaxies cause their redshift-space clustering to depend on the angle to the line-of-sight, providing a key test of gravitational physics on cosmological scales. These effects may be described using a multipole…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-25 Chris Blake , Paul Carter , Jun Koda

In recent years the possibility of measuring the temporal change of radial and transverse position of sources in the sky in real time have become conceivable thanks to the thoroughly improved technique applied to new astrometric and…

Cosmology and Nongalactic Astrophysics · Physics 2012-11-26 Claudia Quercellini , Luca Amendola , Amedeo Balbi , Paolo Cabella , Miguel Quartin

We study the optimal use of third order statistics in the analysis of weak lensing by large-scale structure. These higher order statistics have long been advocated as a powerful tool to break measured degeneracies between cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2009-12-15 S. Vafaei , T. Lu , L. van Waerbeke , E. Semboloni , C. Heymans , U. L. Pen

When the 2dF QSO Redshift Survey (2QZ) is complete, a powerful geometric test for the cosmological constant will be available. By comparing the clustering along and across the line of sight and modelling the effects of peculiar velocities…

Astrophysics · Physics 2009-11-06 P. J. Outram , Fiona Hoyle , T. Shanks , B. J. Boyle , S. M. Croom , N. S. Loaring , L. Miller , R. J. Smith

The line-of-sight peculiar velocities of galaxies contribute to their observed redshifts, breaking the translational invariance of galaxy clustering down to a rotational invariance around the observer. This becomes important when the…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-29 Emanuele Castorina , Martin White

The peculiar velocities of galaxies distort the pattern of galaxy clustering in redshift space, making the redshift space power spectrum anisotropic. In the linear regime, the strength of this distortion depends only on the ratio $\beta…

Astrophysics · Physics 2015-06-24 Shaun Cole , Karl B. Fisher , David H. Weinberg

Pulsar dynamic spectra sometimes show organised interference patterns; these patterns have been shown to have power spectra which often take the form of parabolic arcs, or sequences of inverted parabolic arclets whose apexes themselves…

Astrophysics · Physics 2009-11-10 Mark Walker , Don Melrose , Dan Stinebring , Chengmin Zhang

In the context of upcoming large-scale structure surveys such as Euclid, it is of prime importance to quantify the effect of peculiar velocities on geometric probes. Hence the formalism to compute in redshift space the geometrical and…

Cosmology and Nongalactic Astrophysics · Physics 2014-02-13 Sandrine Codis , Christophe Pichon , Dmitry Pogosyan , Francis Bernardeau , Takahiko Matsubara