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The Baryon Acoustic Oscillations (BAO) imprinted a characteristic correlation length in the large-scale structure of the universe that can be used as a standard ruler for mapping out the cosmic expansion history. Here, we discuss the…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-28 Jailson S. Alcaniz , Gabriela C. Carvalho , Armando Bernui , Joel C. Carvalho , Micol Benetti

The correlation function of the distribution of matter in the universe shows, at large scales, baryon acoustic oscillations, which were imprinted prior to recombination. This feature was first detected in the correlation function of the…

We propose a new way of looking at the Baryon Acoustic Oscillations in the Large Scale Structure clustering correlation function. We identify a scale s_LP that has two fundamental features: its position is insensitive to non-linear gravity,…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-17 Stefano Anselmi , Glenn D. Starkman , Ravi K. Sheth

We show how a characteristic length scale imprinted in the galaxy two-point correlation function, dubbed the "linear point", can serve as a comoving cosmological standard ruler. In contrast to the Baryon Acoustic Oscillation peak location,…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-18 Stefano Anselmi , Glenn D. Starkman , Pier-Stefano Corasaniti , Ravi K. Sheth , Idit Zehavi

The Baryon Acoustic Oscillations (BAO) in the large-scale structure of the universe leave a distinct peak in the two-point correlation function of the matter distribution. That acoustic peak is smeared and shifted by bulk flows and…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Svetlin Tassev , Matias Zaldarriaga

We study the two-point correlation function of density perturbations in a spherically symmetric void universe model which does not employ the Copernican principle. First we solve perturbation equations in the inhomogeneous universe model…

Cosmology and Nongalactic Astrophysics · Physics 2013-12-25 Ryusuke Nishikawa , Chul-Moon Yoo , Ken-ichi Nakao

We derive in this paper expressions for the covariance matrix of the cosmic shear two-point correlation functions which are readily applied to any survey geometry. Furthermore, we consider the more special case of a simple survey geometry…

Astrophysics · Physics 2009-11-07 Peter Schneider , Ludovic van Waerbeke , Martin Kilbinger , Yannick Mellier

While all the cosmological observations are carried out on a light-cone, the null hypersurface of an observer at z=0, the clustering statistics has been properly defined only on the constant-time hypersurface. We develop a theoretical…

Astrophysics · Physics 2009-10-31 Kazuhiro Yamamoto , Yasushi Suto

We investigate the effects of the nonminimal coupling between the scalar field dark energy (quintessence) and the dark matter on the two- point correlation function. It is well known that this coupling shifts the turnover scale as well as…

Cosmology and Nongalactic Astrophysics · Physics 2010-03-29 Seokcheon Lee , Guo-chin Liu , Kin-wang Ng

We perform theoretical and numerical studies of the full relativistic two-point galaxy correlation function, considering the linear-order scalar and tensor perturbation contributions and the wide-angle effects. Using the gauge-invariant…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-18 Fulvio Scaccabarozzi , Jaiyul Yoo , Sang Gyu Biern

We have investigated the statistical clustering properties of galaxies by calculating the 2-point galaxy correlation function from the Durham/UKST Galaxy Redshift Survey. This survey is magnitude limited to bj = 17, contains 2500 galaxies…

Astrophysics · Physics 2009-10-30 A. Ratcliffe , T. Shanks , Q. A. Parker , R. Fong , .

We analyze the early stage of evolution of a universe with two scale factors proposed in [1] when matter is present. The scale factors describe two causally disconnected patches of the universe interacting trough a non-trivial Poisson…

General Relativity and Quantum Cosmology · Physics 2021-06-09 Carlos Maldonado , Fernando Mendez

We study two-point correlation function in a medium composed of two kinds of matter, which is the dual of a three-dimensional generalized $p$-brane gas geometry. Following the holographic prescription, we calculate temporal and spatial…

High Energy Physics - Theory · Physics 2022-12-05 Chanyong Park , Se-Jin Kim , Jung Hun Lee

We study the uncertainty in different two-point correlation function (2PCF) estimators in currently available galaxy surveys. This is motivated by the active subject of using the baryon acoustic oscillations (BAOs) feature in the…

Cosmology and Nongalactic Astrophysics · Physics 2011-09-08 Antoine Labatie , Jean-Luc Starck , Marc Lachièze-Rey , Pablo Arnalte-Mur

We have investigated the relation between the two-point spatial correlation function and the density profile of the dark matter halo in the strongly non-linear regime. It is well known that when the density fluctuation grows into dark…

Astrophysics · Physics 2009-10-31 Taihei Yano , Naoteru Gouda

Due to late time non-linearities, the location of the acoustic peak in the two-point galaxy correlation function is a redshift-dependent quantity, thus it cannot be simply employed as a cosmological standard ruler. This has motivated the…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-01 Stefano Anselmi , Pier-Stefano Corasaniti , Glenn D. Starkman , Ravi K. Sheth , Idit Zehavi

We characterize the nonlinear evolution of the baryon acoustic feature as traced by the dark matter and halos, using a combination of perturbation theory and N-body simulations. We confirm that the acoustic peak traced by the dark matter is…

Cosmology and Nongalactic Astrophysics · Physics 2009-09-24 Nikhil Padmanabhan , Martin White

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

The evolution equation of two-point correlation function $\xi$ of galaxies can analytically describe the large scale structure of the galaxy distribution, and the solution depends also upon the initial condition. The primeval spectrum of…

Astrophysics of Galaxies · Physics 2024-11-21 Yang Zhang , Bichu Li
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