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Related papers: The Large Scale Structure in the Universe: From Po…

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How is the universe organized on large scales? How did this structure evolve from the unknown initial conditions of a rather smooth early universe to the present time? The answers to these questions will shed light on the cosmology we live…

Astrophysics · Physics 2007-05-23 Neta A. Bahcall

We present a brief introduction to the statistical properties of systems with large fluctuations. We point out that for such systems the relevant statistical quantities are scaling exponents and the nature of fluctuations is completely…

Astrophysics · Physics 2007-05-23 Francesco Sylos Labini , Andrea Gabrielli

The two-point summary statistics is one of the most commonly used tools in the study of cosmological structure. Starting from the theoretical power spectrum defined in the 3D volume and obtained via the process of ensemble averaging, we…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-02 Alvise Raccanelli , Zvonimir Vlah

I review the status of large-scale structure studies based on redshift surveys of galaxies and clusters of galaxies. In particular, I compare recent results on the power spectrum and two-point correlation correlation function from the 2dF…

Astrophysics · Physics 2007-05-23 L. Guzzo

We present results of searching for the possible typical scales in the spatial distribution of QSOs. Our method is based on the second derivative of the two-point correlation function. This statistic is sensitive to the scale of the maximum…

Astrophysics · Physics 2009-10-22 Zugan Deng , Xiaoyang Xia , Li-Zhi Fang

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

We report the investigation of spatial distribution of quasars using two different methods: the statistical study by means of 2-point correlation function and direct search for structures such as previously reported Large Quasar Groups.…

Astrophysics · Physics 2016-08-30 B. V. Komberg , A. V. Kravtsov , V. N. Lukash

With the developments of large galaxy surveys or cosmic shear surveys it is now possible to map the dark matter distribution at truly cosmological scales. Detailed examinations of the statistical properties of the dark matter distribution…

Astrophysics · Physics 2007-05-23 Francis Bernardeau

Accurate modeling for the evolution of the Baryon Acoustic Oscillations (BAO) is essential for using it as a standard ruler to probe cosmology. We explore the non-linearity of the BAO in different environments using the density-split…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-13 Tengpeng Xu , Yan-Chuan Cai , Yun Chen , Mark Neyrinck , Liang Gao , Qiao Wang

The power spectrum is widely used in astronomy, to analyze temporal or spatial structure. In cosmology, it is used to quantify large-scale structure (LSS) and the cosmic microwave background (CMB). This is because the power spectrum…

Cosmology and Nongalactic Astrophysics · Physics 2011-09-19 Mark C. Neyrinck

The power spectrum has been a workhorse for cosmological studies of large-scale structure. However, the present-day matter distribution is highly non-Gaussian and significant cosmological information is also contained in higher-order…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-08 Victoria Yankelevich , Ian G. McCarthy , Juliana Kwan , Sam G. Stafford , Jia Liu

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

Baryonic acoustic oscillations (BAOs) modulate the density ratio of baryons to dark matter across large regions of the Universe. We show that the associated variation in the mass-to-light ratio of galaxies should generate an oscillatory,…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Rennan Barkana , Abraham Loeb

The 2dF Galaxy Redshift Survey has now measured in excess of 160000 galaxy redshifts. This paper presents the power spectrum of the galaxy distribution, calculated using a direct FFT-based technique. We argue that, within the k-space region…

As is well known, structure formation in the Universe at times after decoupling can be described by hydrodynamic equations. These are shown here to be equivalent to a generalization of the stochastic Kardar--Parisi--Zhang equation with…

General Relativity and Quantum Cosmology · Physics 2009-10-28 J. F. Barbero G. , A. Dominguez , T. Goldman , J. Perez-Mercader

We present a new statistical analysis of the large-scale stellar mass distribution in the Sloan Digital Sky Survey (data release 7). A set of volume-limited samples shows that the stellar mass of galaxies is concentrated in a range of…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-10 Jose Gaite

We investigate the application of volume statistics to probe the distribution of underdense regions in the large-scale structure of the Universe. This statistic measures the distortion of Eulerian volume elements relative to Lagrangian ones…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-10 Kwan Chuen Chan , Nico Hamaus

Over the past three decades the established view of a nearly homogeneuous, featureless Universe on scales larger than a few Megaparsec has been completely overhauled. In particular through the advent of ever larger galaxy redshift surveys…

Astrophysics · Physics 2007-05-23 Rien van de Weygaert

The advent of high signal-to-noise cosmic microwave background (CMB) anisotropy experiments now allow detailed studies on the statistics related to temperature fluctuations. The existence of acoustic oscillations in the anisotropy power…

Astrophysics · Physics 2007-05-23 Asantha Cooray

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