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We present a systematic comparison of some usual estimators of the 2--point correlation function, some of them currently used in Cosmology, others extensively employed in the field of the statistical analysis of point processes. At small…

We measure the two point correlation function (CF) of 1357 galaxy clusters with a mass of $\log_{10}{M_{200}}\geq 13.6$~\hm~and at a redshift of $z \leq 0.125$. This work differs from previous analyses in that it utilizes a spectroscopic…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-21 Mohamed H. Abdullah , Anatoly Klypin , Francisco Prada , Gillian Wilson , Tomoaki Ishiyama , Julia Ereza

We report on the first measurement of the three-point function with the position-dependent correlation function from the SDSS-III Baryon Oscillation Spectroscopic Survey (BOSS) Data Release 10 CMASS sample. This new observable measures the…

Cosmology and Nongalactic Astrophysics · Physics 2015-12-02 Chi-Ting Chiang , Christian Wagner , Ariel G. Sánchez , Fabian Schmidt , Eiichiro Komatsu

We study the clustering of LRG galaxies in the latest spectroscopic SDSS data releases, DR6 and DR7, which sample over 1 Gpc^3/h^3 to z=0.47. The 2-point correlation function $\xisp$ is estimated as a function of perpendicular $\sigma$ and…

Astrophysics · Physics 2015-05-13 Enrique Gaztanaga , Anna Cabre , Lam Hui

Future galaxy surveys will measure baryon acoustic oscillations (BAOs) with high significance, and a complete understanding of the anisotropies of BAOs in redshift space will be important to exploit the cosmological information in BAOs.…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 Donghui Jeong , Liang Dai , Marc Kamionkowski , Alexander S. Szalay

We investigate three potential sources of bias in distance estimations made assuming that a very simple estimator of the baryon acoustic oscillation (BAO) scale provides a standard ruler. These are the effects of the non-linear evolution of…

Astrophysics · Physics 2008-11-26 Jacek Guzik , Gary Bernstein , Robert E. Smith

The baryonic acoustic peak in the correlation function of galaxies and galaxy clusters provides a standard ruler to probe the space-time geometry of the Universe, jointly constraining the angular diameter distance and the Hubble expansion…

Cosmology and Nongalactic Astrophysics · Physics 2012-12-06 Victor D. Vera Cervantes , Federico Marulli , Lauro Moscardini , Marco Baldi , Andrea Cimatti

We developed a modification to the calculation of the two-point correlation function commonly used in the analysis of large scale structure in cosmology. An estimator of the two-point correlation function is constructed by contrasting the…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-20 Regina Demina , Sanha Cheong , Segev BenZvi , Otto Hindrichs

Percent-level measurements of the comoving baryon acoustic scale standard ruler can be used to break degeneracies in parameter constraints from the CMB alone. The sound horizon at the epoch of baryon drag is often used as a proxy for the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 Kiattisak Thepsuriya , Antony Lewis

The baryon acoustic oscillation (BAO) feature in the distribution of galaxies provides a fundamental standard ruler which is widely used to constrain cosmological parameters. In most analyses, the comoving length of the ruler is inferred…

Cosmology and Nongalactic Astrophysics · Physics 2012-10-12 Will Sutherland

The shapes of galaxy N-point correlation functions can be used as standard rulers to constrain the distance-redshift relationship and thence the expansion rate of the Universe. The cosmological density fields traced by late-time galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-07 Lado Samushia , Zachary Slepian , Francisco Villaescusa-Navarro

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…

Stage-IV galaxy surveys will measure correlations at small cosmological scales with high signal-to-noise ratio. One of the main challenges of extracting information from small scales is devising accurate models, as well as characterizing…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-20 Abdias Aires , Nickolas Kokron , Rogerio Rosenfeld , Felipe Andrade-Oliveira , Vivian Miranda

The two-point correlation function of the galaxy distribution is a key cosmological observable that allows us to constrain the dynamical and geometrical state of our Universe. To measure the correlation function we need to know both the…

We measure the two-point spatial correlation function for clusters selected from the photometric MaxBCG galaxy cluster catalog for the Sloan Digital Sky Survey (SDSS). We evaluate the correlation function for several cluster samples using…

Astrophysics · Physics 2014-11-18 Juan Estrada , Emiliano Sefusatti , Joshua A. Frieman

We study the covariance properties of real space correlation function estimators -- primarily galaxy-shear correlations, or galaxy-galaxy lensing -- using SDSS data for both shear catalogs and lenses (specifically the BOSS LOWZ sample).…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-30 Sukhdeep Singh , Rachel Mandelbaum , Uroš Seljak , Anže Slosar , Jose Vazquez Gonzalez

Baryon Acoustic Oscillations (BAO) provide a robust standard ruler for observational cosmology, enabling precise constraints on the expansion history of the Universe. We present a weakly model-dependent measurement of the BAO angular scale…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-11 U. Ribeiro , F. Avila , C. R. Bom , C. Franco , A. Cortesi , C. Mendes de Oliveira , A. Kanaan , T. Ribeiro , W. Schoenell , E. Telles , A. Bernui

In recent years, deep learning approaches have achieved state-of-the-art results in the analysis of point cloud data. In cosmology, galaxy redshift surveys resemble such a permutation invariant collection of positions in space. These…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-23 Sotiris Anagnostidis , Arne Thomsen , Tomasz Kacprzak , Tilman Tröster , Luca Biggio , Alexandre Refregier , Thomas Hofmann

We investigate if, for a fixed number density of targets and redshift, there is an optimal way to select a galaxy sample in order to measure the baryon acoustic oscillation (BAO) scale, which is used as a standard ruler to constrain the…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-22 César Hernández-Aguayo , Marius Cautun , Alex Smith , Carlton M. Baugh , Baojiu Li

We present the large-scale correlation function measured from a spectroscopic sample of 46,748 luminous red galaxies from the Sloan Digital Sky Survey. The survey region covers 0.72 h^{-3} Gpc^3 over 3816 square degrees and 0.16<z<0.47,…