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Surveys of cosmological large-scale structure (LSS) are sensitive to the presence of local primordial non-Gaussianity (PNG), and may be used to constrain models of inflation. Local PNG, characterized by fNL, the amplitude of the quadratic…

The two-point correlation function (2PCF) is the most widely used tool for quantifying the spatial distribution of galaxies. Since the distribution of galaxies is determined by galaxy formation physics as well as the underlying cosmology,…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-08 Manodeep Sinha , Lehman H. Garrison

We present new estimates of the spatial two-point correlation function of rich clusters of galaxies selected from the APM Galaxy Survey. We have measured redshifts for a sample of $364$ clusters out to a depth of $\sim 450\hmpc$. The…

Astrophysics · Physics 2016-06-08 G. B. Dalton , R. A. C. Croft , G. Efstathiou , W. J. Sutherland , S. J. Maddox , M. Davis

Nine of the most important estimators known for the two-point correlation function are compared using a predetermined, rigorous criterion. The indicators were extracted from over 500 subsamples of the Virgo Hubble Volume simulation cluster…

Astrophysics · Physics 2009-08-21 Martin Kerscher , Istvan Szapudi , Alex Szalay

We derive an analytical expression for a novel large-scale structure observable: the line correlation function. The line correlation function, which is constructed from the three-point correlation function of the phase of the density field,…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-09 Richard Wolstenhulme , Camille Bonvin , Danail Obreschkow

Aims. Our goal is to find the relation between the two-point correlation functions (CFs) of projected and spatial density fields of galaxies in the context of the cosmic web. Methods. To investigate relations between spatial (3D) and…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-01 J. Einasto , G. Hütsi , M. Einasto

We use the 2MASS extended source catalogue to determine angular correlation functions, w_p, to high orders (p<=9). The main sample contains 650,745 galaxies and represents an order of magnitude increase in solid angle over previous samples…

Astrophysics · Physics 2009-11-11 W. J. Frith , P. J. Outram , T. Shanks

Novel summary statistics beyond the standard 2-point correlation function (2PCF) are necessary to capture the full astrophysical and cosmological information from the small-scale (r < 30Mpc/h) galaxy clustering. However, the analysis of…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-01 Sihan Yuan , Boryana Hadzhiyska , Tom Abel

We present the integrated 3-point correlation functions (3PCF) involving both the cosmic shear and the galaxy density fields. These are a set of higher-order statistics that describe the modulation of local 2-point correlation functions…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-29 Anik Halder , Zhengyangguang Gong , Alexandre Barreira , Oliver Friedrich , Stella Seitz , Daniel Gruen

We propose a new way of looking at the Baryon Acoustic Oscillations in the Large Scale Structure clustering correlation function. We identify a scale s_LP that has two fundamental features: its position is insensitive to non-linear gravity,…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-17 Stefano Anselmi , Glenn D. Starkman , Ravi K. Sheth

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

Ongoing and upcoming wide-field surveys at different wavelengths will measure the distribution of galaxy clusters with unprecedented precision, demanding accurate models for the two-point correlation function (2PCF) covariance. In this…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-21 Alessandra Fumagalli , Tiago Castro , Stefano Borgani , Milena Valentini

Understanding the large-scale structure of the Universe requires analyses of cosmic clustering and its evolution over time. In this work, we investigate the clustering properties of SDSS blue galaxies, which are excellent tracers of dark…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-03 Camila Franco , Felipe Avila , Armando Bernui

We measure and analyze galaxy clustering and the dependence on luminosity, color, age, stellar mass and specific star formation rate using Baryon Oscillation Spectroscopic Survey (BOSS) galaxies at $0.48<z<0.62$. We fit the monopole and…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-18 Zhongxu Zhai , Will J. Percival , Hong Guo

We analyze the 2-point correlation function (2PCF) of galaxy groups identified from the 2-degree Field Galaxy Redshift Survey with the halo based group finder recently developed by Yang et al (2004b). With this group catalogue we are able…

Astrophysics · Physics 2009-11-10 Xiaohu Yang , H. J. Mo , Frank C. van den Bosch , Y. P. Jing

We present the samples of galaxies and quasars used for DESI 2024 cosmological analyses, drawn from the DESI Data Release 1 (DR1). We describe the construction of large-scale structure (LSS) catalogs from these samples, which include…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-15 DESI Collaboration , A. G. Adame , J. Aguilar , S. Ahlen , S. Alam , D. M. Alexander , M. Alvarez , O. Alves , A. Anand , U. Andrade , E. Armengaud , S. Avila , A. Aviles , H. Awan , S. Bailey , C. Baltay , A. Bault , J. Behera , S. BenZvi , F. Beutler , D. Bianchi , C. Blake , R. Blum , S. Brieden , A. Brodzeller , D. Brooks , Z. Brown , E. Buckley-Geer , E. Burtin , R. Calderon , R. Canning , A. Carnero Rosell , R. Cereskaite , J. L. Cervantes-Cota , S. Chabanier , E. Chaussidon , J. Chaves-Montero , S. Chen , X. Chen , T. Claybaugh , S. Cole , A. Cuceu , T. M. Davis , K. Dawson , A. de la Macorra , A. de Mattia , N. Deiosso , R. Demina , A. Dey , B. Dey , Z. Ding , P. Doel , J. Edelstein , S. Eftekharzadeh , D. J. Eisenstein , A. Elliott , P. Fagrelius , K. Fanning , S. Ferraro , J. Ereza , N. Findlay , B. Flaugher , A. Font-Ribera , D. Forero-Sánchez , J. E. Forero-Romero , C. S. Frenk , C. Garcia-Quintero , E. Gaztañaga , H. Gil-Marín , S. Gontcho A Gontcho , A. X. Gonzalez-Morales , V. Gonzalez-Perez , C. Gordon , D. Green , D. Gruen , R. Gsponer , G. Gutierrez , J. Guy , B. Hadzhiyska , C. Hahn , M. M. S Hanif , H. K. Herrera-Alcantar , K. Honscheid , J. Hou , C. Howlett , D. Huterer , V. Iršič , M. Ishak , S. Juneau , N. G. Karaçaylı , R. Kehoe , S. Kent , D. Kirkby , F. -S. Kitaura , H. Kong , A. Kremin , A. Krolewski , Y. Lai , T. -W. Lan , M. Landriau , D. Lang , J. Lasker , J. M. Le Goff , L. Le Guillou , A. Leauthaud , M. E. Levi , T. S. Li , K. Lodha , C. Magneville , M. Manera , D. Margala , P. Martini , M. Maus , P. McDonald , L. Medina-Varela , A. Meisner , J. Mena-Fernández , R. Miquel , J. Moon , S. Moore , J. Moustakas , N. Mudur , E. Mueller , A. Muñoz-Gutiérrez , A. D. Myers , S. Nadathur , L. Napolitano , R. Neveux , J. A. Newman , N. M. Nguyen , J. Nie , G. Niz , H. E. Noriega , N. Padmanabhan , E. Paillas , N. Palanque-Delabrouille , J. Pan , S. Penmetsa , W. J. Percival , M. M. Pieri , M. Pinon , C. Poppett , A. Porredon , F. Prada , A. Pérez-Fernández , I. Pérez-Ràfols , D. Rabinowitz , A. Raichoor , C. Ramírez-Pérez , S. Ramirez-Solano , M. Rashkovetskyi , C. Ravoux , M. Rezaie , J. Rich , A. Rocher , C. Rockosi , N. A. Roe , A. Rosado-Marin , A. J. Ross , G. Rossi , R. Ruggeri , V. Ruhlmann-Kleider , L. Samushia , E. Sanchez , C. Saulder , E. F. Schlafly , D. Schlegel , D. Scholte , M. Schubnell , H. Seo , R. Sharples , J. Silber , A. Slosar , A. Smith , D. Sprayberry , T. Tan , G. Tarlé , S. Trusov , R. Vaisakh , D. Valcin , F. Valdes , M. Vargas-Magaña , L. Verde , M. Walther , B. Wang , M. S. Wang , B. A. Weaver , N. Weaverdyck , R. H. Wechsler , D. H. Weinberg , M. White , M. J. Wilson , J. Yu , Y. Yu , S. Yuan , C. Yèche , E. A. Zaborowski , P. Zarrouk , H. Zhang , C. Zhao , R. Zhao , R. Zhou , H. Zou

Small- and intermediate-scale galaxy clustering can be used to establish the galaxy-halo connection to study galaxy formation and evolution and to tighten constraints on cosmological parameters. With the increasing precision of galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-23 Zheng Zheng , Hong Guo

The dependence of galaxy clustering on local density provides an effective method for extracting non-Gaussian information from galaxy surveys. The two-point correlation function (2PCF) provides a complete statistical description of a…

This article provides a method for quick computation of galaxy two-point correlation function(2pCF) from redshift surveys using python. One of the salient features of this approach is that it can be used for calculating galaxy clustering…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-09 Yeluripati Rohin