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We investigate the spatial clustering of galaxies in the PSCz galaxy redshift survey, as revealed by the two-point correlation function, the luminosity mark correlations, and the moments of counts-in-cells. We construct volume-limited…

Astrophysics · Physics 2009-10-31 István Szapudi , Enzo Branchini , C. S. Frenk , Steve Maddox , Will Saunders

It is well known that magnification bias, the modulation of galaxy or quasar source counts by gravitational lensing, can change the observed angular correlation function. We investigate magnification-induced changes to the shape of the…

Astrophysics · Physics 2008-12-18 Marilena LoVerde , Lam Hui , Enrique Gaztanaga

Angular cosmological correlators are infamously difficult to compute due to the highly oscillatory nature of the projection integrals. Motivated by recent development on analytic approaches to cosmological perturbation theory, in this paper…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-03 Hayden Lee , Cora Dvorkin

Measuring the two-point correlation function of the galaxies in the Universe gives access to the underlying dark matter distribution, which is related to cosmological parameters and to the physics of the primordial Universe. The estimation…

We present a new approach to measuring cosmic expansion history and growth rate of large scale structure using the anisotropic two dimensional galaxy correlation function (2DCF) measured from data; it makes use of the empirical modeling of…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-07 Yun Wang

The field of cosmology is entering an epoch of unparalleled wealth of observational data thanks to galaxy surveys such as DESI, Euclid, and Roman. Therefore, it is essential to have a firm theoretical basis that allows the effective…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-03 William Ortolá Leonard , Zachary Slepian , Jiamin Hou

The low statistical errors on cosmological parameters promised by future galaxy surveys will only be realised with the development of new, fast, analysis methods that reduce potential systematic problems to low levels. We present an…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-23 Rossana Ruggeri , Will Percival , Héctor Gil-Marín , Fangzhou Zhu , Gongbo Zhao , Yuting Wang

We investigate how well the redshift distributions of galaxies sorted into photometric redshift bins can be determined from the galaxy angular two-point correlation functions. We find that the uncertainty in the reconstructed redshift…

Astrophysics · Physics 2008-11-26 M. Schneider , L. Knox , H. Zhan , A. Connolly

The correlation between cosmic shear as measured by the image distortion of high-redshift galaxies and the number counts of foreground galaxies is calculated. For a given power spectrum of the cosmic density fluctuations, this correlation…

Astrophysics · Physics 2009-10-30 Peter Schneider

Eigenmode analysis is one of the most promising methods of analyzing large data sets in ongoing and near-future galaxy surveys. In such analyses, a fast evaluation of the correlation matrix in arbitrary cosmological models is crucial. The…

Astrophysics · Physics 2009-11-10 Takahiko Matsubara , Alexander S. Szalay , Adrian C. Pope

The anisotropy of clustering in redshift space provides a direct measure of the growth rate of large scale structure in the Universe. Future galaxy redshift surveys will make high precision measurements of these distortions, and will…

Cosmology and Nongalactic Astrophysics · Physics 2010-10-28 Elise Jennings , Carlton M. Baugh , Silvia Pascoli

In this paper we introduce the `redshift fluctuation' as a gauge-invariant cosmological observable and give its fully relativistic expression at first order in cosmological perturbation theory. We show that this corresponds effectively to…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-18 William L Matthewson , Dennis Stock , Ruth Durrer

We present a new efficient method to compute the angular power spectra of large-scale structure observables that circumvents the numerical integration over Bessel functions, expanding on a recently proposed algorithm based on FFTlog. This…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-31 Nils Schöneberg , Marko Simonović , Julien Lesgourgues , Matias Zaldarriaga

We examine how the spatial correlation function of galaxies from the CNOC2 Field Galaxy Redshift Survey depends on galaxy color, luminosity and redshift. The projected correlation function w_p is determined for volume-limited samples of…

(abridged) We present a study of the angular correlation function as measured in the William Herschel Deep Field. This field covers 50 arcmin$^2$ and with it we are able to investigate the scaling of the angular correlation function to…

Astrophysics · Physics 2009-10-31 H. J. McCracken , T. Shanks , N. Metcalfe , R. Fong , A. Campos

We compute the redshift-dependent angular bispectrum of galaxy number counts at tree-level, including nonlinear clustering bias and estimating numerically for the first time the effect of redshift space distortions (RSD). We show that for…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-30 Enea Di Dio , Ruth Durrer , Roy Maartens , Francesco Montanari , Obinna Umeh

In this manuscript I review the mathematics and physics that underpins recent work using the clustering of galaxies to derive cosmological model constraints. I start by describing the basic concepts, and gradually move on to some of the…

Astrophysics · Physics 2009-07-28 Will J. Percival

We perform an anisotropic clustering analysis of 1,133,326 galaxies from the Sloan Digital Sky Survey (SDSS-III) Baryon Oscillation Spectroscopic Survey (BOSS) Data Release (DR) 12 covering the redshift range $0.15<z<0.69$. The geometrical…

Cosmology and Nongalactic Astrophysics · Physics 2018-04-05 Xiao-Dong Li , Cristiano G. Sabiu , Changbom Park , Yuting Wang , Gong-bo Zhao , Hyunbae Park , Arman Shafieloo , Juhan Kim , Sungwook E. Hong

We present a general relativistic description of galaxy clustering in a FLRW universe. The observed redshift and position of galaxies are affected by the matter fluctuations and the gravity waves between the source galaxies and the…

Cosmology and Nongalactic Astrophysics · Physics 2009-10-29 Jaiyul Yoo , A. Liam Fitzpatrick , Matias Zaldarriaga