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New arguments supporting the reality of large-scale fluctuations in the density of the visible matter in deep galaxy surveys are presented. A statistical analysis of the radial distributions of galaxies in the COSMOS and HDF-N deep fields…

Cosmology and Nongalactic Astrophysics · Physics 2016-07-12 S. I. Shirokov , N. Yu. Lovyagin , Yu. V. Baryshev , V. L. Gorokhov

Cosmological perturbation theory is a powerful tool to predict the statistics of large-scale structure in the weakly non-linear regime, but even at 1-loop order it results in computationally expensive mode-coupling integrals. Here we…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-17 Xiao Fang , Jonathan A. Blazek , Joseph E. McEwen , Christopher M. Hirata

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

We have investigated the spatial distribution of quasars and its relationship with redshift by using the two-point correlation function, the variance of cell counts and the conditional density as a function of redshift. By comparing our…

Astrophysics · Physics 2007-05-23 P. Andreani , S. Cristiani , F. La Franca

These are advanced lecture notes covering recent developments in the methodology used to analyse galaxy surveys. The focus is particularly on direct measurements of the galaxy power spectrum although I also discuss its Fourier transform,…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-11 Will J. Percival

The bispectrum of galaxy number counts is a key probe of large-scale structure, offering insights into the initial conditions of the Universe, the nature of gravity, and cosmological parameters. In this work, we present the first full-sky…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-22 Thomas Montandon , Enea Di Dio , Cornelius Rampf , Julian Adamek

The observed number counts of high-redshift galaxy candidates have been used to build up a statistical description of star-forming activity at redshift z >~ 7, when galaxies reionized the Universe. Standard models predict that a high…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 J. Stuart B. Wyithe , Haojing Yan , Rogier A. Windhorst , Shude Mao

Forward modeling the galaxy density within the Effective Field Theory of Large Scale Structure (EFT of LSS) enables field-level analyses that are robust to theoretical uncertainties. At the same time, they can maximize the constraining…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-08 Julia Stadler , Fabian Schmidt , Martin Reinecke , Matteo Esposito

The evolution of two-point space correlation function of QSOs is analyzed in the framework of the theory of the large scale structure formation. For given cosmological models the agreement between theoretical predictions and observational…

Astrophysics · Physics 2007-05-23 Yu. Chornij , B. Novosyadlyj

We study the asymmetry in the two-point cross-correlation function of two populations of galaxies focusing in particular on the relativistic effects that include the gravitational redshift. We derive the cross-correlation function on small…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-25 Elena Giusarma , Shadab Alam , Hongyu Zhu , Rupert A. C. Croft , Shirley Ho

We measure the power spectrum of galaxy clustering in real space from the APM Galaxy Survey. We present an improved technique for the numerical inversion of Limber's equation that relates the angular clustering of galaxies to an integral…

Astrophysics · Physics 2009-11-07 N. D. Padilla , C. M. Baugh

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

Cross-correlating the lensing signals of galaxies and comic microwave background (CMB) fluctuations is expected to provide valuable cosmological information. In particular it may help tighten constraints on parameters describing the…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-14 Philipp M. Merkel , Bjoern Malte Schaefer

The analysis of redshift surveys with fractal tools requires one to apply some form of statistical correction for galaxies lying near the geometric boundary of the sample. In this paper we compare three different methods of performing such…

Astrophysics · Physics 2009-11-07 Jun Pan , Peter Coles

The clustering of galaxy clusters is a powerful cosmological tool, which can help to break degeneracies between parameters when combined with other cosmological observables. We aim to demonstrate its potential in constraining cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-16 Alessandra Fumagalli , Matteo Costanzi , Alexandro Saro , Tiago Castro , Stefano Borgani

Current and future galaxy surveys cover a large fraction of the entire sky with a significant redshift range, and the recent theoretical development shows that general relativistic effects are present in galaxy clustering on very large…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 Jaiyul Yoo , Uros Seljak

We present measurements of the two-point galaxy angular correlation function w(\theta) in the COSMOS field. Independent determinations of w(\theta) as a function of magnitude limit are presented for both the HST ACS catalog and also for the…

In the theory of structure formation, galaxies are biased tracers of the underlying matter density field. The statistical relation between galaxy and matter density field is commonly referred as galaxy bias. In this paper, we test the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Eric Jullo , Jason Rhodes , Alina Kiessling , James E. Taylor , Richard Massey , Joel Berge , Carlo Schimd , Jean-Paul Kneib , Nick Scoville

The line-of-sight peculiar velocities of galaxies contribute to their observed redshifts, breaking the translational invariance of galaxy clustering down to a rotational invariance around the observer. This becomes important when the…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-29 Emanuele Castorina , Martin White

We present a method of calibrating the properties of photometric redshift bins as part of a larger Markov Chain Monte Carlo (MCMC) analysis for the inference of cosmological parameters. The redshift bins are characterised by their mean and…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-02 Michael McLeod , Sreekumar T. Balan , Filipe B. Abdalla
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