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We examine the effect of redshift space distortions on the galaxy two-point correlation function $\xi(r_p,\pi)$ as a function of separations parallel ($r_p$) and perpendicular ($\pi$) to the line of sight. We find that the relative velocity…

Astrophysics · Physics 2015-06-24 Karl B Fisher , Marc Davis , Michael A Strauss , Amos Yahil , John P Huchra

The apparent anisotropies of galaxy clustering and 21-cm mapping in redshift space offer a unique opportunity to simultaneously probe cosmic expansion and gravity on cosmological scales through the Alcock-Paczynski (AP) effect and…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-15 Yong-Seon Song , Minji Oh , Kyungjin Ahn , Feng Shi

We present a new estimator, omega, of the small scale galaxy correlation function that is robust against the effects of redshift space distortions and large scale structures. The estimator is a weighted integral of the redshift space or…

Astrophysics · Physics 2008-11-26 Nikhil Padmanabhan , Martin White , Daniel J. Eisenstein

One of the main problems of observational cosmology is to determine the range in which a reliable measurement of galaxy correlations is possible. This corresponds to determine the shape of the correlation function, its possible evolution…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-18 Francesco Sylos Labini , Daniil Tekhanovich , Yurij V. Baryshev

The number of galaxies with measured redshifts > 1 is at present rapidly increasing, allowing for measurements of their correlation function. The correlations function is measured in redshift space, as a function of angular separation and…

Astrophysics · Physics 2009-10-31 Vibhat Nair

We present the spatial correlation function analysis of non-stellar X-ray point sources in the Chandra Large Area Synoptic X-ray Survey of Lockman Hole Northwest (CLASXS). Our 9 ACIS-I fields cover a contiguous solid angle of 0.4 deg^2 and…

Astrophysics · Physics 2009-11-11 Y. Yang , R. F. Mushotzky , A. J. Barger , L. L. Cowie

We report the correlation analysis of various redshift surveys which shows that the available data are consistent with each other and manifest fractal correlations (with dimension $D \simeq 2$) up to the present observational limits…

Astrophysics · Physics 2009-10-30 M. Montuori , F. Sylos Labini , A. Gabrielli , A. Amici , L. Pietronero

Radio continuum galaxy surveys can provide a relatively fast map of the projected distribution of structure in the Universe, at the cost of lacking information about the radial distribution. We can use these surveys to learn about the…

Galaxy redshift surveys are one of the pillars of the current standard cosmological model and remain a key tool in the experimental effort to understand the origin of cosmic acceleration. To this end, the next generation of surveys aim at…

Cosmology and Nongalactic Astrophysics · Physics 2018-03-30 L. Guzzo , J. Bel , D. Bianchi , C. Carbone , B. R. Granett , A. J. Hawken , F. G. Mohammad , A. Pezzotta , S. Rota , M. Zennaro

We present an analysis of the two-point angular correlation function of the ELAIS S1 survey. The survey covers 4 deg$^2$ and contains 462 sources detected at 15$\mu$m to a 5$\sigma$ flux limit of 0.45 mJy. Using the 329 extragalactic…

We present measurements of the angular correlation function of sub-millimeter (sub-mm) galaxies (SMGs) identified in four out of the five fields of the Herschel Astrophysical Terahertz Large Area Survey (H-ATLAS) - GAMA-9h, GAMA-12h,…

The $E_G$ statistic provides a valuable tool for evaluating predictions of General Relativity (GR) by probing the relationship between gravitational potential and galaxy clustering on cosmological scales within the observable universe. In…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-07 Shang Li , Jun-Qing Xia

We calculated spatial correlation functions of galaxies, $\xi(r)$, structure functions, $g(r)=1 +\xi(r)$, gradient functions, $\gamma(r)= d \log g(r)/ d \log r$, and fractal dimension functions, $D(r)= 3+\gamma(r)$, using dark matter…

Cosmology and Nongalactic Astrophysics · Physics 2020-08-12 J. Einasto , G. Hütsi , T. Kuutma , M. Einasto

The apparatus of correlation gamma function (\Gamma*(r)) is used to analyze volume-limited samples from the DR4 Main Galaxy Sample of the SDSS survey with the aim of determining the characteristic scales of galaxy clustering. Up to 20…

Astrophysics · Physics 2007-05-23 Anton V. Tikhonov

We study the cross-correlation between galaxies of different luminosities and colors, using a sample selected from the SDSS Dr 4. Galaxies are divided into 6 samples according to luminosity, and each of these samples is divided into red and…

Astrophysics · Physics 2011-02-11 Yu Wang , Xiaohu Yang , H. J. Mo , Frank C. van den Bosch

This paper presents a detailed theoretical study of the two-point correlation function $\xi$ for both dark matter halos and the matter density field in five cosmological models with varying matter density $\Omega_m$ and neutrino fraction…

Astrophysics · Physics 2009-10-30 Chung-Pei Ma

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

The study of the magnification bias produced on high-redshift sub-millimetre galaxies by foreground galaxies through the analysis of the cross-correlation function was recently demonstrated as an interesting independent alternative to the…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-24 J. Gonzalez-Nuevo , M. M. Cueli , L. Bonavera , A. Lapi , M. Migliaccio , F. Argüeso , L. Toffolatti

We study the flat-sky approximation for galaxy number counts including relativistic effects, and assess its performance and accuracy with respect to the full-sky result. We find an agreement of up to 5% for the local and lensing…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-14 Goran Jelic-Cizmek

We derive cosmological constraints using a galaxy cluster sample selected from the 2500~deg$^2$ SPT-SZ survey. The sample spans the redshift range $0.25< z<1.75$ and contains 343 clusters with SZ detection significance $\xi>5$. The sample…