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We compute the two-point correlation function for spin configurations which are obtained by solving the Euclidean matching problem, for one family of points on a grid, and the second family chosen uniformly at random, when the cost depends…

Disordered Systems and Neural Networks · Physics 2014-12-17 Elena Boniolo , Sergio Caracciolo , Andrea Sportiello

We develop a methodology to use the redshift dependence of the galaxy 2-point correlation function (2pCF) across the line-of-sight, $\xi(r_{\bot})$, as a probe of cosmological parameters. The positions of galaxies in comoving Cartesian…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-02 Xiao-Dong Li , Changbom Park , Cristiano G. Sabiu , Hyunbae Park , Cheng Cheng , Juhan Kim , Sungwook E. Hong

The 2dF Galaxy Redshift Survey has now been completed and has mapped the three-dimensional distribution, and hence clustering, of galaxies in exquisite detail over an unprecedentedly large ($\sim 10^{8} h^{-3}$ Mpc$^{3}$) volume of the…

Astrophysics · Physics 2007-05-23 Warrick Couch , Matthew Colless , Roberto De Propris

We present a method for fast evaluation of the covariance matrix for a two-point galaxy correlation function (2PCF) measured with the Landy-Szalay estimator. The standard way of evaluating the covariance matrix consists in running the…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-26 E. Keihanen , V. Lindholm , P. Monaco , L. Blot , C. Carbone , K. Kiiveri , A. G. Sánchez , A. Viitanen , J. Valiviita , A. Amara , N. Auricchio , M. Baldi , D. Bonino , E. Branchini , M. Brescia , J. Brinchmann , S. Camera , V. Capobianco , J. Carretero , M. Castellano , S. Cavuoti , A. Cimatti , R. Cledassou , G. Congedo , L. Conversi , Y. Copin , L. Corcione , M. Cropper , A. Da Silva , H. Degaudenzi , M. Douspis , F. Dubath , C. A. J. Duncan , X. Dupac , S. Dusini , A. Ealet , S. Farrens , S. Ferriol , M. Frailis , E. Franceschi , M. Fumana , B. Gillis , C. Giocoli , A. Grazian , F. Grupp , L. Guzzo , S. V. H. Haugan , H. Hoekstra , W. Holmes , F. Hormuth , K. Jahnke , M. Kümmel , S. Kermiche , A. Kiessling , T. Kitching , M. Kunz , H. Kurki-Suonio , S. Ligori , P. B. Lilje , I. Lloro , E. Maiorano , O. Mansutti , O. Marggraf , F. Marulli , R. Massey , M. Melchior , M. Meneghetti , G. Meylan , M. Moresco , B. Morin , L. Moscardini , E. Munari , S. M. Niemi , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , V. Pettorino , S. Pires , G. Polenta , M. Poncet , L. Popa , F. Raison , A. Renzi , J. Rhodes , E. Romelli , R. Saglia , B. Sartoris , P. Schneider , T. Schrabback , A. Secroun , G. Seidel , C. Sirignano , G. Sirri , L. Stanco , C. Surace , P. Tallada-Crespí , D. Tavagnacco , A. N. Taylor , I. Tereno , R. Toledo-Moreo , F. Torradeflot , E. A. Valentijn , L. Valenziano , T. Vassallo , Y. Wang , J. Weller , G. Zamorani , J. Zoubian , S. Andreon , D. Maino , S. de la Torre

We use the two-degree field Galaxy Redshift Survey (2dFGRS) to test the hierarchical scaling hypothesis: namely, that the $p$-point galaxy correlation functions can be written in terms of the two point correlation function or variance. This…

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 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

Galaxy clustering provides insightful clues to our understanding of galaxy formation and evolution, as well as the universe. The redshift assignment for the random sample is one of the key steps to measure the galaxy clustering accurately.…

Cosmology and Nongalactic Astrophysics · Physics 2020-05-06 Lei Yang , Yipeng Jing , Zhigang Li , Xiaohu Yang

We examine the light-cone effect on the two-point correlation functions using numerical simulations for the first time. Specifically, we generate several sets of dark matter particle distributions on the light-cone up to z=0.4 and z=2 over…

Astrophysics · Physics 2009-10-31 Takashi Hamana , Stephane Colombi , Yasushi Suto

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

We present an algorithm enabling computation of the anisotropic redshift-space galaxy 3-point correlation function (3PCF) scaling as $N^2$, with $N$ the number of galaxies. Our previous work showed how to compute the isotropic 3PCF with…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-16 Zachary Slepian , Daniel J. Eisenstein

Galaxy clustering on very large scales can be probed via the 2-point correlation function in the general case of wide and deep separations, including all the lightcone and relativistic effects. Using our recently developed formalism, we…

Cosmology and Nongalactic Astrophysics · Physics 2016-06-08 Alvise Raccanelli , Daniele Bertacca , Roy Maartens , Chris Clarkson , Olivier Doré

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)…

We develop a novel method to explore the galaxy-halo connection using the galaxy imaging surveys by modeling the projected two-point correlation function measured from the galaxies with reasonable photometric redshift measurements. By…

Cosmology and Nongalactic Astrophysics · Physics 2019-07-17 Zhaoyu Wang , Haojie Xu , Xiaohu Yang , Y. P. Jing , Hong Guo , Zheng Zheng , Ying Zu , Zhigang Li , Chengze Liu

We present a systematic comparison of some usual estimators of the 2--point correlation function, some of them currently used in Cosmology, others extensively employed in the field of the statistical analysis of point processes. At small…

We analyze the quasar two-point correlation function (2pCF) within the redshift interval $0.8<z<2.2$ using a sample of 52303 quasars selected from the recent 7th Data Release of the Sloan Digital Sky Survey. Our approach to 2pCF uses a…

Cosmology and Nongalactic Astrophysics · Physics 2010-10-12 G. Ivashchenko , V. I. Zhdanov , A. V. Tugay

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

We present new predictions for the galaxy three-point correlation function (3PCF) using high-resolution dissipationless cosmological simulations of a flat LCDM Universe which resolve galaxy-size halos and subhalos. We create realistic mock…

Astrophysics · Physics 2008-11-26 Felipe Marin , Risa Wechsler , Joshua Frieman , Robert Nichol

Measurements of clustering in large-scale imaging surveys that make use of photometric redshifts depend on the uncertainties in the redshift determination. We have used light-cone simulations to show how the deprojection method successfully…

We report the measurement of the three-point correlation function (3PCF) of galaxies for the Las Campanas Redshift Survey (LCRS). We have not only measured the 3PCF in redshift space but also developed a method to measure the projected 3PCF…

Astrophysics · Physics 2009-10-30 Y. P. Jing , G. Boerner