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Measuring the 3D distribution of mass on galaxy cluster scales is a crucial test of the LCDM model, providing constraints on the behaviour of dark matter. Recent work investigating mass distributions of individual galaxy clusters (e.g.…

Astrophysics · Physics 2008-10-16 Virginia L. Corless , Lindsay J. King

Accurate modelling of redshift-space distortions (RSD) is challenging in the non-linear regime for two-point statistics e.g. the two-point correlation function (2PCF). We take a different perspective to split the galaxy density field…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-14 Enrique Paillas , Yan-Chuan Cai , Nelson Padilla , Ariel Sánchez

We model the luminosity-dependent projected and redshift-space two-point correlation functions (2PCFs) of the Sloan Digital Sky Survey (SDSS) DR7 Main galaxy sample, using the halo occupation distribution (HOD) model and the subhalo…

The Euclid satellite will measure spectroscopic redshifts for tens of millions of emission-line galaxies. In the context of Stage-IV surveys, the 3-dimensional clustering of galaxies plays a key role in providing cosmological constraints.…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-09 Euclid Collaboration , M. Kärcher , M. -A. Breton , S. de la Torre , A. Veropalumbo , A. Eggemeier , M. Crocce , E. Sefusatti , E. Sarpa , R. E. Angulo , B. Camacho Quevedo , L. Castiblanco , E. Castorina , A. Chudaykin , V. Desjacques , A. Farina , G. Gambardella , M. Guidi , D. Linde , F. Marulli , A. Moradinezhad Dizgah , M. Moresco , C. Moretti , K. Pardede , A. Pezzotta , M. Pellejero Ibañez , C. Porciani , A. Pugno , M. Zennaro , N. Aghanim , B. Altieri , L. Amendola , S. Andreon , N. Auricchio , C. Baccigalupi , M. Baldi , S. Bardelli , A. Biviano , E. Branchini , M. Brescia , S. Camera , G. Cañas-Herrera , V. Capobianco , C. Carbone , V. F. Cardone , J. Carretero , M. Castellano , G. Castignani , S. Cavuoti , K. C. Chambers , A. Cimatti , C. Colodro-Conde , G. Congedo , L. Conversi , Y. Copin , F. Courbin , H. M. Courtois , H. Degaudenzi , G. De Lucia , H. Dole , F. Dubath , X. Dupac , S. Dusini , A. Ealet , S. Escoffier , M. Farina , R. Farinelli , F. Faustini , S. Ferriol , F. Finelli , P. Fosalba , N. Fourmanoit , M. Frailis , E. Franceschi , M. Fumana , S. Galeotta , K. George , W. Gillard , B. Gillis , C. Giocoli , J. Gracia-Carpio , A. Grazian , F. Grupp , L. Guzzo , S. V. H. Haugan , W. Holmes , F. Hormuth , A. Hornstrup , K. Jahnke , M. Jhabvala , B. Joachimi , E. Keihänen , S. Kermiche , A. Kiessling , B. Kubik , M. Kümmel , 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 , C. Padilla , F. Pasian , J. A. Peacock , K. Pedersen , W. J. Percival , V. Pettorino , S. Pires , G. Polenta , M. Poncet , L. A. Popa , F. Raison , G. Riccio , E. Romelli , M. Roncarelli , C. Rosset , R. Saglia , Z. Sakr , A. G. Sánchez , 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 , J. Valiviita , T. Vassallo , Y. Wang , J. Weller , G. Zamorani , F. M. Zerbi , E. Zucca , V. Allevato , M. Ballardini , M. Bolzonella , A. Boucaud , 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 , M. Maturi , N. Mauri , R. B. Metcalf , P. Monaco , M. Pöntinen , I. Risso , V. Scottez , M. Sereno , M. Tenti , M. Tucci , M. Viel , M. Wiesmann , Y. Akrami , I. T. Andika , G. Angora , M. Archidiacono , F. Atrio-Barandela , E. Aubourg , L. Bazzanini , J. Bel , D. Bertacca , M. Bethermin , F. Beutler , L. Blot , M. Bonici , S. Borgani , M. L. Brown , S. Bruton , A. Calabro , F. Caro , C. S. Carvalho , F. Cogato , S. Conseil , A. R. Cooray , 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 , P. G. Ferreira , A. Finoguenov , A. Fontana , 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 , J. Le Graet , L. Legrand , M. Lembo , F. Lepori , G. Leroy , G. F. Lesci , J. Lesgourgues , T. I. Liaudat , M. Magliocchetti , A. Manjón-García , F. Mannucci , C. J. A. P. Martins , L. Maurin , M. Migliaccio , M. Miluzio , A. Montoro , 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 , 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 , S. Vinciguerra , N. A. Walton , A. H. Wright

We analyze the consequences of models of structure formation for higher-order ($n$-point) galaxy correlation functions in the mildly non-linear regime. Several variations of the standard $\Omega=1$ cold dark matter model with…

Astrophysics · Physics 2016-08-30 Joshua A. Frieman , Enrique Gaztanaga

We present, for the first time, an observational test of the consistency relation for the large-scale structure (LSS) of the Universe through a joint analysis of the anisotropic two- and three-point correlation functions (2PCF and 3PCF) of…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-18 Naonori S. Sugiyama , Daisuke Yamauchi , Tsutomu Kobayashi , Tomohiro Fujita , Shun Arai , Shin'ichi Hirano , Shun Saito , Florian Beutler , Hee-Jong Seo

We investigate whether neighbor-density-weighted marked correlation functions (MCFs) can extract cosmological information beyond the standard redshift-space two-point correlation function (2PCF). Using the Kun suite of 129 $w_0w_a$CDM$+\sum…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-25 Xu Xiao , Xiao-Dong Li , Yiqi Huang , Le Zhang

To make use of clustering statistics from large cosmological surveys, accurate and precise covariance matrices are needed. We present a new code to estimate large scale galaxy two-point correlation function (2PCF) covariances in arbitrary…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-08 Oliver H. E. Philcox , Daniel J. Eisenstein , Ross O'Connell , Alexander Wiegand

We critically assess the impact of significant dipole and large-scale anisotropies on galaxy clustering signals, with a focus on radio continuum surveys. Our study reveals that these anisotropies -- resulting from intrinsic cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-15 Prabhakar Tiwari

Thanks to the recent availability of large surveys, there has been renewed interest in third-order correlation statistics. Measures of third-order clustering are sensitive to the structure of filaments and voids in the universe and are…

Astrophysics · Physics 2010-11-11 J. M. Loh

We perform an anisotropic clustering analysis of 1,133,326 galaxies from the Sloan Digital Sky Survey (SDSS-III) Baryon Oscillation Spectroscopic Survey (BOSS) Data Release (DR) 12 covering the redshift range $0.15<z<0.69$. The geometrical…

Cosmology and Nongalactic Astrophysics · Physics 2018-04-05 Xiao-Dong Li , Cristiano G. Sabiu , Changbom Park , Yuting Wang , Gong-bo Zhao , Hyunbae Park , Arman Shafieloo , Juhan Kim , Sungwook E. Hong

The zeroth-order component of the cosine expansion of the projected three-point correlation function is proposed for clustering analysis of cosmic large scale structure. These functions are third order statistics but can be measured…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Kelai Meng , Jun Pan , Istvan Szapudi , Longlong Feng

Phase correlations are an efficient way to extract astrophysical information that is largely independent from the power spectrum. We develop an estimator for the line correlation function (LCF) of projected fields, given by the correlation…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-23 Felipe Oliveira Franco , Boryana Hadzhiyska , David Alonso

We study the behavior of the three-point correlation function xi_3 of dark matter and mock galaxies, concentrating on the effects of redshift-space distortions and the determination of galaxy bias parameters in current redshift galaxy…

Astrophysics · Physics 2011-05-12 E. Gaztanaga , R. Scoccimarro

We investigate using three-point statistics in constraining the galaxy-halo connection. We show that for some galaxy samples, the constraints on the halo occupation distribution parameters are dominated by the three-point function signal…

We report results for the angular three-point galaxy correlation function in the APM survey and compare them with theoretical expectations. For the first time, these measurements extend to sufficiently large scales to probe the weakly…

Astrophysics · Physics 2009-10-31 J. A. Frieman , E. Gaztanaga

This paper presents a novel perspective on correlation functions in the clustering analysis of the large-scale structure of the universe. We first recognise that pair counting in bins of radial separation is equivalent to evaluating…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-06 Shiyu Yue , Longlong Feng , Wenjie Ju , Jun Pan , Zhiqi Huang , Feng Fang , Zhuoyang Li , Yan-Chuan Cai , Weishan Zhu

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…

We investigate the three-point functions of the weak lensing cosmic shear, using both analytic methods and numerical results from N-body simulations. The analytic model, an isolated dark matter halo with a powerlaw profile chosen to fit the…

Astrophysics · Physics 2009-11-11 K. Benabed , R. Scoccimarro

We discuss the galaxy-galaxy-mass three-point correlation function and show how to measure it with weak gravitational lensing. The method entails choosing a large of pairs of foreground lens galaxies and constructing a mean shear map with…

Astrophysics · Physics 2009-11-10 David E. Johnston
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