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We compute the angular two-point correlation functions of the gamma-ray bursts at cosmological distances. Since the gamma-ray burst emission mechanism is not yet established, we simply assume that the gamma-ray burst sources are associated…

Astrophysics · Physics 2009-10-22 Shiho Kobayashi , Shin Sasaki , Yasushi Suto

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

Measuring the evolution in the clustering of galaxies over a large redshift range is a challenging problem. For a two-dimensional galaxy catalog, however, we can measure the galaxy-galaxy angular correlation function which provides…

Astrophysics · Physics 2009-10-31 Robert J. Brunner , Andrew J. Connolly , Alex S. Szalay

A new approach to the study of the large-scale stellar cluster distribution in the Galaxy based on two-point correlation techniques is presented. The basic formalism for this method is outlined and its applications are then investigated by…

Astrophysics · Physics 2009-10-30 M. Lopez-Corredoira , F. Garzon , P. L. Hammersley , T. J. Mahoney

We present the galaxy two-point angular correlation function for galaxies selected from the seventh data release of the Sloan Digital Sky Survey. The galaxy sample was selected with $r$-band apparent magnitudes between 17 and 21; and we…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Y. Wang , R. J. Brunner , J. C. Dolence

The DEEP2 project will obtain redshifts for ~60,000 galaxies between z~0.7-1.5 in a comoving volume of 7 10^6 Mpc/h^3 for an LCDM universe. The survey will map four separate 2 by 0.5 degree strips of the sky. To study the expected…

Astrophysics · Physics 2009-11-07 Alison L. Coil , Marc Davis , Istvan Szapudi

We show how to increase the accuracy of estimates of the two-point correlation function without sacrificing efficiency. We quantify the error of the pair-counts and of the Landy-Szalay estimator by comparing them with exact reference…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-26 Martin Kerscher

The stochastic order redshift technique (SORT) is a simple, efficient, and robust method to improve cosmological redshift measurements. The method relies upon having a small ($\sim$10 per cent) reference sample of high-quality redshifts.…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-25 James Kakos , Joel R. Primack , Aldo Rodriguez-Puebla , Nicolas Tejos , L. Y. Aaron Yung , Rachel S. Somerville

We have developed a model to describe two-point correlation functions of clusters of galaxies in X-ray flux-limited surveys. Our model properly takes account of nonlinear gravitational evolution of mass fluctuations, redshift-space…

Astrophysics · Physics 2009-10-31 Yasushi Suto , Kazuhiro Yamamoto , Tetsu Kitayama , Y. P. Jing

We investigate to which accuracy it is possible to recover the real-space two-point correlation function of galaxy clusters from cluster catalogues based on photometric redshifts, and test our ability to measure the redshift and mass…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-29 Srivatsan Sridhar , Sophie Maurogordato , Christophe Benoist , Alberto Cappi , Federico Marulli

Higher-order correlation functions are firmly established as a fundamental tool for the statistical analysis of clustering in modern galaxy surveys. It was demonstrated that they greatly enrich the information content extracted by two-point…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-06 Euclid Collaboration , A. Veropalumbo , M. Moresco , F. Marulli , E. Branchini , M. Guidi , A. Farina , A. Pugno , E. Sefusatti , D. Tavagnacco , F. Rizzo , E. Romelli , S. de la Torre , A. Eggemeier , E. Sihvola , M. Viel , N. Aghanim , B. Altieri , S. Andreon , N. Auricchio , C. Baccigalupi , M. Baldi , S. Bardelli , P. Battaglia , A. Biviano , M. Brescia , S. Camera , G. Cañas-Herrera , V. Capobianco , C. Carbone , V. F. Cardone , J. Carretero , S. Casas , M. Castellano , G. Castignani , S. Cavuoti , K. C. Chambers , A. Cimatti , C. Colodro-Conde , G. Congedo , C. J. Conselice , L. Conversi , Y. Copin , F. Courbin , H. M. Courtois , A. Da Silva , H. Degaudenzi , G. De Lucia , H. Dole , F. Dubath , X. Dupac , S. Dusini , S. Escoffier , M. Farina , R. Farinelli , F. Faustini , S. Ferriol , F. Finelli , P. Fosalba , S. Fotopoulou , M. Frailis , E. Franceschi , M. Fumana , S. Galeotta , K. George , W. Gillard , B. Gillis , C. Giocoli , P. Gómez-Alvarez , J. Gracia-Carpio , A. Grazian , F. Grupp , L. Guzzo , W. Holmes , F. Hormuth , A. Hornstrup , K. Jahnke , M. Jhabvala , B. Joachimi , S. Kermiche , A. Kiessling , B. Kubik , M. Kunz , H. Kurki-Suonio , A. M. C. Le Brun , S. Ligori , P. B. Lilje , V. Lindholm , I. Lloro , G. Mainetti , D. Maino , E. Maiorano , O. Mansutti , S. Marcin , O. Marggraf , M. Martinelli , N. Martinet , R. J. Massey , E. Medinaceli , S. Mei , M. Melchior , Y. Mellier , M. Meneghetti , E. Merlin , G. Meylan , A. Mora , L. Moscardini , C. Neissner , S. -M. Niemi , J. W. Nightingale , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , W. J. Percival , V. Pettorino , S. Pires , G. Polenta , M. Poncet , L. A. Popa , L. Pozzetti , F. Raison , A. Renzi , J. Rhodes , G. Riccio , M. Roncarelli , R. Saglia , Z. Sakr , D. Sapone , B. Sartoris , P. Schneider , T. Schrabback , A. Secroun , G. Seidel , S. Serrano , P. Simon , C. Sirignano , G. Sirri , L. Stanco , J. Steinwagner , P. Tallada-Crespí , A. N. Taylor , I. Tereno , N. Tessore , S. Toft , R. Toledo-Moreo , F. Torradeflot , I. Tutusaus , L. Valenziano , J. Valiviita , T. Vassallo , G. Verdoes Kleijn , Y. Wang , J. Weller , G. Zamorani , F. M. Zerbi , E. Zucca , V. Allevato , M. Ballardini , C. Benoist , M. Bolzonella , E. Bozzo , C. Burigana , R. Cabanac , M. Calabrese , A. Cappi , T. Castro , J. A. Escartin Vigo , L. Gabarra , J. García-Bellido , V. Gautard , J. Macias-Perez , R. Maoli , J. Martín-Fleitas , N. Mauri , R. B. Metcalf , P. Monaco , A. Pezzotta , M. Pöntinen , I. Risso , V. Scottez , M. Sereno , M. Tenti , M. Tucci , M. Wiesmann , Y. Akrami , G. Alguero , I. T. Andika , G. Angora , S. Anselmi , M. Archidiacono , F. Atrio-Barandela , E. Aubourg , L. Bazzanini , J. Bel , D. Bertacca , M. Bethermin , F. Beutler , A. Blanchard , L. Blot , H. Böhringer , M. Bonici , S. Borgani , M. L. Brown , S. Bruton , A. Calabro , B. Camacho Quevedo , F. Caro , C. S. Carvalho , F. Cogato , S. Conseil , A. R. Cooray , O. Cucciati , S. Davini , G. Desprez , A. Díaz-Sánchez , S. Di Domizio , J. M. Diego , V. Duret , M. Y. Elkhashab , A. Enia , Y. Fang , A. G. Ferrari , A. Finoguenov , F. Fontanot , A. Franco , K. Ganga , T. Gasparetto , E. Gaztanaga , F. Giacomini , F. Gianotti , G. Gozaliasl , A. Gruppuso , C. M. Gutierrez , A. Hall , H. Hildebrandt , J. Hjorth , S. Joudaki , J. J. E. Kajava , Y. Kang , V. Kansal , D. Karagiannis , K. Kiiveri , J. Kim , C. C. Kirkpatrick , S. Kruk , M. Lattanzi , L. Legrand , M. Lembo , F. Lepori , G. Leroy , G. F. Lesci , J. Lesgourgues , T. I. Liaudat , S. J. Liu , A. Loureiro , M. Magliocchetti , F. Mannucci , C. J. A. P. Martins , L. Maurin , M. Migliaccio , M. Miluzio , C. Moretti , G. Morgante , S. Nadathur , K. Naidoo , P. Natoli , A. Navarro-Alsina , S. Nesseris , L. Pagano , D. Paoletti , F. Passalacqua , K. Paterson , L. Patrizii , R. Paviot , A. Pisani , D. Potter , G. W. Pratt , S. Quai , M. Radovich , K. Rojas , W. Roster , S. Sacquegna , M. Sahlén , D. B. Sanders , E. Sarpa , A. Schneider , D. Sciotti , E. Sellentin , L. C. Smith , J. G. Sorce , K. Tanidis , C. Tao , F. Tarsitano , G. Testera , R. Teyssier , S. Tosi , A. Troja , A. Venhola , D. Vergani , F. Vernizzi , G. Verza , P. Vielzeuf , S. Vinciguerra , N. A. Walton , A. H. Wright

Modern galaxy surveys focus on the galaxy power spectrum or 2-point correlation function to test and constrain cosmological models. Additional information comes from higher-order N-point functions, but their analysis is challenging. A…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-17 Marcel Schmittfull , Azadeh Moradinezhad Dizgah

We present an analytical model for density-split correlation functions, that probe galaxy clustering in different density environments. Specifically, we focus on the cross-correlation between density-split regions and the tracer density…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-23 Mathilde Pinon , Arnaud de Mattia , Étienne Burtin , Vanina Ruhlmann-Kleider , Sandrine Codis , Enrique Paillas , Carolina Cuesta-Lazaro

One of the major goals of cosmological observations is to test theories of structure formation. The most straightforward way to carry out such tests is to compute the likelihood function L, the probability of getting the data given the…

Astrophysics · Physics 2007-05-23 Scott Dodelson , Lam Hui , Andrew Jaffe

Measuring relativistic effects on cosmological scales would provide further confirmation of the validity of general relativity in the still poorly tested condition of weak gravity. Despite their relevance, relativistic imprints in the…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-20 Marco Novara , Federico Montano , Stefano Camera

The 2-point spatial correlation function (CF), $\xi(s)$, has been used to study the clustering of the galaxies in the preliminary version of the HIPASS Bright Galaxy Catalogue (HIPASS BGC), which includes the 1,000 HI brightest galaxies in…

Astrophysics · Physics 2007-05-23 S. Tantisrisuk , R. Webster

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

In the near future a new generation of CCD based galaxy surveys will enable high precision determination of the N-point correlation functions. The resulting information will help to resolve the ambiguities associated with two-point…

Astrophysics · Physics 2009-10-30 Istvan Szapudi

We measure the projected 2-point correlation function of galaxies in the 180 deg$^2$ equatorial regions of the GAMA II survey, for four different redshift slices between z = 0.0 and z=0.5. To do this we further develop the Cole (2011)…