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Correlation functions are widely used in extra-galactic astrophysics to extract insights into how galaxies occupy dark matter halos and in cosmology to place stringent constraints on cosmological parameters. A correlation function…

Instrumentation and Methods for Astrophysics · Physics 2021-05-12 Manodeep Sinha , Lehman H. Garrison

The two point correlation function (2PCF) is a powerful statistical tool to measure galaxy clustering. Although 2PCF has also been used to study the clustering of stars on parsec and sub-parsec scales, its physical implication is not clear…

Astrophysics of Galaxies · Physics 2024-02-02 Yike Zhang , Wenting Wang , Jiaxin Han , Xiaohu Yang , Vicente Rodriguez-Gomez , Carles G. Palau , Zhenlin Tan

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

We introduce a two-particle correlation function (2PCF) for the Milky Way, constructed to probe spatial correlations in the orthogonal directions of the stellar disk in the Galactic cylindrical coordinates of $R$, $\phi$, and $z$. We use…

Astrophysics of Galaxies · Physics 2023-01-16 Austin Hinkel , Susan Gardner , Brian Yanny

We developed a modification to the calculation of the two-point correlation function commonly used in the analysis of large scale structure in cosmology. An estimator of the two-point correlation function is constructed by contrasting the…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-20 Regina Demina , Sanha Cheong , Segev BenZvi , Otto Hindrichs

The two-point correlation function of the galaxy distribution is a key cosmological observable that allows us to constrain the dynamical and geometrical state of our Universe. To measure the correlation function we need to know both the…

Data from the ongoing \textit{Euclid} survey will map out billions of galaxies in the Universe, covering more than a third of the sky. This data will provide a wealth of information about the large-scale structure (LSS) of the Universe and…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-23 Vetle A. Vikenes , Cheng-Zong Ruan , David F. Mota

The 2-point correlation function of the galaxy spatial distribution is a major cosmological observable that enables constraints on the dynamics and geometry of the Universe. The Euclid mission aims at performing an extensive spectroscopic…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-13 Euclid Collaboration , S. de la Torre , F. Marulli , E. Keihänen , A. Viitanen , M. Viel , A. Veropalumbo , E. Branchini , D. Tavagnacco , F. Rizzo , J. Valiviita , V. Lindholm , V. Allevato , G. Parimbelli , E. Sarpa , Z. Ghaffari , A. Amara , S. Andreon , N. Auricchio , C. Baccigalupi , M. Baldi , S. Bardelli , A. Basset , D. Bonino , M. Brescia , J. Brinchmann , A. Caillat , S. Camera , V. Capobianco , C. Carbone , J. Carretero , S. Casas , F. J. Castander , M. Castellano , G. Castignani , S. Cavuoti , A. Cimatti , C. Colodro-Conde , G. Congedo , C. J. Conselice , L. Conversi , Y. Copin , F. Courbin , H. M. Courtois , M. Crocce , A. Da Silva , H. Degaudenzi , G. De Lucia , A. M. Di Giorgio , J. Dinis , F. Dubath , C. A. J. Duncan , X. Dupac , S. Dusini , M. Farina , S. Farrens , F. Faustini , S. Ferriol , N. Fourmanoit , M. Frailis , E. Franceschi , P. Franzetti , M. Fumana , S. Galeotta , K. George , W. Gillard , B. Gillis , C. Giocoli , P. Gómez-Alvarez , B. R. Granett , A. Grazian , F. Grupp , L. Guzzo , S. V. H. Haugan , W. Holmes , F. Hormuth , A. Hornstrup , S. Ilić , K. Jahnke , M. Jhabvala , B. Joachimi , S. Kermiche , A. Kiessling , M. Kilbinger , B. Kubik , M. Kunz , H. Kurki-Suonio , S. Ligori , P. B. Lilje , I. Lloro , G. Mainetti , D. Maino , E. Maiorano , O. Mansutti , O. Marggraf , K. Markovic , M. Martinelli , N. Martinet , R. Massey , S. Maurogordato , E. Medinaceli , S. Mei , M. Melchior , Y. Mellier , M. Meneghetti , E. Merlin , G. Meylan , M. Moresco , B. Morin , L. Moscardini , E. Munari , C. Neissner , S. -M. Niemi , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , W. J. Percival , V. Pettorino , S. Pires , G. Polenta , M. Poncet , L. Pozzetti , F. Raison , A. Renzi , J. Rhodes , G. Riccio , E. Romelli , M. Roncarelli , E. Rossetti , R. Saglia , Z. Sakr , A. G. Sánchez , D. Sapone , B. Sartoris , P. Schneider , T. Schrabback , M. Scodeggio , A. Secroun , E. Sefusatti , G. Seidel , M. Seiffert , S. Serrano , C. Sirignano , G. Sirri , L. Stanco , J. Steinwagner , C. Surace , P. Tallada-Crespí , A. N. Taylor , I. Tereno , R. Toledo-Moreo , F. Torradeflot , A. Tsyganov , I. Tutusaus , L. Valenziano , T. Vassallo , Y. Wang , J. Weller , A. Zacchei , G. Zamorani , E. Zucca , A. Biviano , M. Bolzonella , E. Bozzo , C. Burigana , M. Calabrese , D. Di Ferdinando , J. A. Escartin Vigo , R. Farinelli , F. Finelli , L. Gabarra , J. Gracia-Carpio , S. Matthew , N. Mauri , A. Mora , A. Pezzotta , M. Pöntinen , V. Scottez , P. Simon , A. Spurio Mancini , M. Tenti , M. Wiesmann , Y. Akrami , I. T. Andika , S. Anselmi , M. Archidiacono , F. Atrio-Barandela , A. Balaguera-Antolinez , D. Bertacca , M. Bethermin , A. Blanchard , L. Blot , H. Böhringer , S. Borgani , M. L. Brown , S. Bruton , R. Cabanac , A. Calabro , B. Camacho Quevedo , G. Cañas-Herrera , A. Cappi , F. Caro , C. S. Carvalho , T. Castro , K. C. Chambers , F. Cogato , S. Contarini , A. R. Cooray , O. Cucciati , S. Davini , F. De Paolis , G. Desprez , A. Díaz-Sánchez , S. Di Domizio , H. Dole , S. Escoffier , A. G. Ferrari , P. G. Ferreira , A. Finoguenov , A. Fontana , K. Ganga , J. García-Bellido , T. Gasparetto , V. Gautard , E. Gaztanaga , F. Giacomini , F. Gianotti , G. Gozaliasl , A. Gregorio , M. Guidi , C. M. Gutierrez , A. Hall , S. Hemmati , H. Hildebrandt , J. Hjorth , A. Jimenez Muñoz , S. Joudaki , J. J. E. Kajava , Y. Kang , V. Kansal , D. Karagiannis , C. C. Kirkpatrick , S. Kruk , M. Lattanzi , A. M. C. Le Brun , S. Lee , J. Le Graet , L. Legrand , M. Lembo , J. Lesgourgues , T. I. Liaudat , A. Loureiro , J. Macias-Perez , M. Magliocchetti , F. Mannucci , R. Maoli , J. Martín-Fleitas , C. J. A. P. Martins , L. Maurin , R. B. Metcalf , M. Miluzio , P. Monaco , C. Moretti , G. Morgante , C. Murray , S. Nadathur , K. Naidoo , A. Navarro-Alsina , S. Nesseris , K. Paterson , L. Patrizii , A. Pisani , V. Popa , D. Potter , P. Reimberg , I. Risso , P. -F. Rocci , M. Sahlén , A. Schneider , M. Schultheis , D. Sciotti , E. Sellentin , M. Sereno , A. Silvestri , L. C. Smith , K. Tanidis , C. Tao , N. Tessore , G. Testera , R. Teyssier , S. Toft , S. Tosi , A. Troja , M. Tucci , C. Valieri , D. Vergani , G. Verza , P. Vielzeuf , N. A. Walton

We present an algorithm that computes the multipole coefficients of the galaxy three-point correlation function (3PCF) without explicitly considering triplets of galaxies. Rather, centering on each galaxy in the survey, it expands the…

Cosmology and Nongalactic Astrophysics · Physics 2015-11-04 Zachary Slepian , Daniel J. Eisenstein

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

Two-point correlation functions (2PCF) are widely used to characterize how points cluster in space. In this work, we study the problem of measuring the 2PCF over a large set of points, restricted to a subset satisfying a property of…

Computer Vision and Pattern Recognition · Computer Science 2026-04-08 Max Hamilton , Daniel Sheldon , Subhransu Maji

Context. A novel high-performance exact pair counting toolkit called Fast Correlation Function Calculator (FCFC) is presented, which is publicly available at https://github.com/cheng-zhao/FCFC. Aims. As the rapid growth of modern…

Instrumentation and Methods for Astrophysics · Physics 2023-04-05 Cheng Zhao

We present a new algorithm to rapidly compute the two-point (2PCF), three-point (3PCF) and n-point (n-PCF) correlation functions in roughly O(N log N) time for N particles, instead of O(N^n) as required by brute force approaches. The…

Astrophysics · Physics 2007-05-23 Lucy Liuxuan Zhang , Ue-Li Pen

The nature of dark energy and the complete theory of gravity are two central questions currently facing cosmology. A vital tool for addressing them is the 3-point correlation function (3PCF), which probes deviations from a spatially random…

In this work, we have explored the advantages and drawbacks of using GPUs instead of CPUs in the calculation of a standard 2-point correlation function algorithm, which is useful for the analysis of Large Scale Structure of galaxies. Taking…

Instrumentation and Methods for Astrophysics · Physics 2012-05-01 Rafael Ponce , Miguel Cardenas-Montes , Juan Jose Rodriguez-Vazquez , Eusebio Sanchez , Ignacio Sevilla

Cosmological measurements require the calculation of nontrivial quantities over large datasets. The next generation of survey telescopes (such as DES, PanSTARRS, and LSST) will yield measurements of billions of galaxies. The scale of these…

Instrumentation and Methods for Astrophysics · Physics 2012-12-10 Deborah Bard , Matthew Bellis , Mark T. Allen , Hasmik Yepremyan , Jan M. Kratochvil

In the advent of new large galaxy surveys, which will produce enormous datasets with hundreds of millions of objects, new computational techniques are necessary in order to extract from them any two-point statistic, the computational time…

Instrumentation and Methods for Astrophysics · Physics 2013-06-21 David Alonso

With the advent of high-quality surveys in cosmology the full three-point correlation function will be a valuable statistic for describing structure formation models. It contains information on cosmological parameters and detailed halo…

Astrophysics · Physics 2009-11-07 Masahiro Takada , Bhuvnesh Jain

We present FuGa3D, a code for fast computation of correlation functions and power spectra for galaxy survey observables, including galaxy clustering and cosmic shear. We define the redshift-space correlation function (RCF) as the…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-06 Elina Keihänen , Jani Haapala , Valtteri Lindholm , Martin Reinecke , Susan Rissanen , Jussi Valiviita , Akke Viitanen

Using a method to correct redshift space distortion (RSD) for individual galaxies, we mapped the real space distributions of galaxies in the Sloan Digital Sky Survey (SDSS) Data Release 7 (DR7). We use an ensemble of mock catalogs to…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-28 Feng Shi , Xiaohu Yang , Huiyuan Wang , Youcai Zhang , H. J. Mo , Frank C. van den Bosch , Shijie Li , Chengze Liu , Yi Lu , Dylan Tweed , Lei Yang
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