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Context: Two-point correlation functions are used throughout cosmology as a measure for the statistics of random fields. When used in Bayesian parameter estimation, their likelihood function is usually replaced by a Gaussian approximation.…

Cosmology and Nongalactic Astrophysics · Physics 2011-10-07 David Keitel , Peter Schneider

This article investigates general scaling settings and limit distributions of functionals of filtered random fields. The filters are defined by the convolution of non-random kernels with functions of Gaussian random fields. The case of…

Probability · Mathematics 2018-12-19 Tareq Alodat , Nikolai Leonenko , Andriy Olenko

We introduce the basic techniques used for the analysis of three dimensional and two dimensional galaxy samples. We report the correlation analysis of various redshift surveys which shows that the available data are consistent with each…

Astrophysics · Physics 2007-05-23 L. Pietronero , F. Sylos Labini , M. Montuori

A thorough study of QSO-galaxy correlations has been done on a region close to the North Galactic Pole using a complete subsample of the optically selected CFHT/MMT QSO survey and the galaxy catalog of Odewahn and Aldering (1995). Although…

Astrophysics · Physics 2009-10-30 I. Ferreras , N. Benitez , E. Martinez-Gonzalez

Although a source star is fainter than the detection limit imposed by crowding, it is still possible to detect an event if the star is located in the seeing disk of a bright star is and gravitationally amplified: amplification bias. Using a…

Astrophysics · Physics 2009-10-28 Cheongho Han

A photometric survey of faint galaxies in three high Galactic latitude fields (each $\sim49~\rm{arcmin^{2}}$) with sub-arcsecond seeing is used to study the clustering properties of the faint galaxy population. Multi-color photometry of the…

Astrophysics · Physics 2009-10-30 David Woods , Gregory G. Fahlman

The relationship between galaxy and matter overdensities, bias, is most often assumed to be local. This is however unstable under time evolution, we provide proofs under several sets of assumptions. In the simplest model galaxies are…

Cosmology and Nongalactic Astrophysics · Physics 2012-04-06 Kwan Chuen Chan , Roman Scoccimarro , Ravi K. Sheth

We model the evolution of galaxy clustering through cosmic time to investigate the nature of the power-law shape of xi(r), the galaxy two-point correlation function. Departures from a power law are mainly governed by galaxy pair counts on…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Douglas F. Watson , Andreas A. Berlind , Andrew R. Zentner

We show that current clustering observations of quasars and luminous AGN can be explained by a merger model augmented by feedback from outflows. Using numerical simulations large enough to study clustering out to 25 comoving h^{-1} Mpc, we…

Astrophysics · Physics 2011-02-11 Robert J. Thacker , Evan Scannapieco , H. M. P. Couchman , Mark Richardson

We present preliminary results of our investigation into the influence of shear fields on the evolution of galactic scale fluctuations in a primordial Gaussian random density field. Specifically, we study how the matter associated with a…

Astrophysics · Physics 2009-10-22 Rien van de Weygaert , Arif Babul

We investigate the effects on cosmological clustering statistics of empirical biasing, where the galaxy distribution is a local transformation of the present-day Eulerian density field. The effects of the suppression of galaxy numbers in…

Astrophysics · Physics 2009-10-30 Bob Mann , John Peacock , Alan Heavens

We develop technique concerning statistical analyses of the large-scale structure of the universe in the presence of biasing in the structure formation. We formulate the diagrammatic method to calculate the correlation functions of the…

Astrophysics · Physics 2016-08-30 Takahiko Matsubara

We consider geometrical clusters (i.e. domains of parallel spins) in the square lattice random field Ising model by varying the strength of the Gaussian random field, $\Delta$. In agreement with the conclusion of previous investigation…

Statistical Mechanics · Physics 2010-08-09 László Környei , Ferenc Iglói

The first non-trivial cumulant correlator of the galaxy density field $Q_{21}$ is examined from the point of view of biasing. It is shown that to leading order it depends on two biasing parameters $b$, and $b_2$, and on $q_{21}$, the…

Astrophysics · Physics 2009-10-30 Istvan Szapudi

Gravitational lensing allows to quantify the angular distribution of the convergence field around clusters of galaxies to constrain their connectivity to the cosmic web. We describe in this paper the corresponding theory in Lagrangian space…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-20 Sandrine Codis , Raphael Gavazzi , Christophe Pichon , Celine Gouin

We study the evolution of the halo-halo correlation function and bias in four cosmological models (LCDM, OCDM, tauCDM, and SCDM) using very high-resolution N-body simulations. The high force and mass resolution allows dark matter (DM) halos…

Astrophysics · Physics 2009-10-30 Pedro Colin , Anatoly Klypin , Andrey Kravtsov , Alexei Khokhlov

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 investigate the relationship between the colors, luminosities, and environments of galaxies in the Sloan Digital Sky Survey spectroscopic sample, using environmental measurements on scales ranging from 0.2 to 6 Mpc/h. We find: (1) that…

Astrophysics · Physics 2009-11-10 Michael R. Blanton , Daniel J. Eisenstein , David W. Hogg , Idit Zehavi

Assuming a LCDM universe in a single-field inflationary scenario, we compute the three-point correlation function of the observed matter density fluctuation in the squeezed triangular configuration, accounting for all the relativistic…

Cosmology and Nongalactic Astrophysics · Physics 2022-08-25 Jaiyul Yoo , Nastassia Grimm , Ermis Mitsou

Many physical properties of galaxies correlate with one another, and these correlations are often used to constrain galaxy formation models. Such correlations include the color-magnitude relation, the luminosity-size relation, the…

Astrophysics · Physics 2009-11-13 Graziano Rossi , Ravi K. Sheth
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