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Free-streaming of cosmic neutrinos affects the distribution and growth of cosmic structures on small scales. This enables the sum of neutrino masses $M_\nu$ to be constrained from clustering studies. We investigate the possibility of…

宇宙学与河外天体物理 · 物理学 2026-04-15 Andrea Labate , Massimo Guidi , Michele Moresco , Alfonso Veropalumbo

We calculate perturbatively the normalized spatial skewness, $S_3$, and full three-point correlation function (3PCF), $\zeta$, induced by gravitational instability of Gaussian primordial fluctuations for a biased tracer-mass distribution in…

天体物理学 · 物理学 2009-10-31 Ari Buchalter , Marc Kamionkowski

Multipole expansion of spatial three-point statistics is introduced as a tool for investigating and displaying configuration dependence. The novel parametrization renders the relation between bi-spectrum and three-point correlation function…

天体物理学 · 物理学 2009-11-10 Istvan Szapudi

In order to best improve constraints on cosmological parameters and on models of modified gravity using current and future galaxy surveys it is necessary maximally exploit the available data. As redshift-space distortions mean statistical…

宇宙学与河外天体物理 · 物理学 2017-12-27 Donough Regan

We revisit the feasibility of a cosmological test with the geometric distortion focusing on an ambiguous factor of the evolution of bias. Starting from defining estimators for the spatial two-point correlation function and the power…

天体物理学 · 物理学 2007-05-23 Kazuhiro Yamamoto , Hiroaki Nishioka , Atsushi Taruya

Redshift space distortions privilege the location of the observer in cosmological redshift surveys, breaking the translational symmetry of the underlying theory. This violation of statistical homogeneity has consequences for the modeling of…

宇宙学与河外天体物理 · 物理学 2018-03-23 Emanuele Castorina , Martin White

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…

宇宙学与河外天体物理 · 物理学 2017-12-20 Regina Demina , Sanha Cheong , Segev BenZvi , Otto Hindrichs

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…

星系天体物理 · 物理学 2023-01-16 Austin Hinkel , Susan Gardner , Brian Yanny

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…

天体物理学 · 物理学 2007-05-23 Lucy Liuxuan Zhang , Ue-Li Pen

Though Fourier Transforms (FTs) are a common technique for finding correlation functions, they are not typically used in computations of the anisotropy of the two-point correlation function (2PCF) about the line of sight in wide-angle…

宇宙学与河外天体物理 · 物理学 2015-10-28 Zachary Slepian , Daniel J. Eisenstein

We investigate the possibility of constraining coupled dark energy (cDE) cosmologies using the three-point correlation function (3PCF). Making use of the CoDECS N-body simulations, we study the statistical properties of cold dark matter…

宇宙学与河外天体物理 · 物理学 2015-06-18 Michele Moresco , Federico Marulli , Marco Baldi , Lauro Moscardini , Andrea Cimatti

The two-point correlation function is computed for galaxies and groups of galaxies selected using 3-dimensional information from the Updated Zwicky Galaxy Catalog - (UZC). The redshift space distortion of the correlation function…

Galaxy redshift surveys encode a wealth of information generated by nonlinear gravitational evolution, galaxy bias, and redshift-space distortions, only part of which is accessible through standard two-point statistics. Motivated by the…

宇宙学与河外天体物理 · 物理学 2026-05-29 Davide Bianchi

We report a new test of modified gravity theories using the large-scale structure of the Universe. This paper is the first attempt to (1) apply a joint analysis of the anisotropic components of galaxy two- and three-point correlation…

Recent measurements of the 4-point correlation function in large-scale galaxy surveys have found apparent evidence of parity violation in the distribution of galaxies. This cannot happen via dynamical gravitational effects in general…

宇宙学与河外天体物理 · 物理学 2024-10-04 Pritha Paul , Chris Clarkson , Roy Maartens

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…

宇宙学与河外天体物理 · 物理学 2017-03-29 Srivatsan Sridhar , Sophie Maurogordato , Christophe Benoist , Alberto Cappi , Federico Marulli

We measure the monopole moment of the three-point correlation function on scales $1\mpc-70\mpc$ in the Two degree Field Galaxy Redshift Survey (2dFGRS). Volume limited samples are constructed using a series of integral magnitudes bins…

天体物理学 · 物理学 2009-11-11 Jun Pan , Istvan Szapudi

Galaxy-galaxy-galaxy lensing (G3L) is a powerful tool for constraining the three-point correlation between the galaxy and matter distribution and thereby models of galaxy evolution. We propose three improvements to current measurements of…

宇宙学与河外天体物理 · 物理学 2020-01-29 Laila Linke , Patrick Simon , Peter Schneider , Stefan Hilbert

The study of higher-order statistics, particularly three-point statistics, of the Large Scale Structure (LSS) of the Universe provides us with unique information on the biasing relation between luminous and dark matter and on deviations…

宇宙学与河外天体物理 · 物理学 2023-10-03 M. Guidi , A. Veropalumbo , E. Branchini , A. Eggemeier , C. Carbone

We investigate the accuracy and range of validity of the perturbative model for the 2-point (2PCF) and 3-point (3PCF) correlation functions in real space in view of the forthcoming analysis of the Euclid mission spectroscopic sample. We…

宇宙学与河外天体物理 · 物理学 2026-03-18 Euclid Collaboration , M. Guidi , A. Veropalumbo , A. Pugno , M. Moresco , E. Sefusatti , C. Porciani , E. Branchini , M. -A. Breton , B. Camacho Quevedo , M. Crocce , S. de la Torre , V. Desjacques , A. Eggemeier , A. Farina , M. Kärcher , D. Linde , M. Marinucci , A. Moradinezhad Dizgah , C. Moretti , K. Pardede , A. Pezzotta , E. Sarpa , A. Amara , S. Andreon , N. Auricchio , C. Baccigalupi , D. Bagot , M. Baldi , S. Bardelli , P. Battaglia , A. Biviano , 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 , A. Da Silva , H. Degaudenzi , G. De Lucia , H. Dole , M. Douspis , 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 , 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 , K. Markovic , M. Martinelli , N. Martinet , F. Marulli , R. Massey , E. Medinaceli , S. Mei , M. Melchior , Y. Mellier , M. Meneghetti , E. Merlin , G. Meylan , A. Mora , 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. A. Popa , F. Raison , R. Rebolo , A. Renzi , J. Rhodes , G. Riccio , E. Romelli , M. Roncarelli , R. Saglia , Z. Sakr , A. G. Sánchez , D. Sapone , B. Sartoris , J. A. Schewtschenko , P. Schneider , T. Schrabback , M. Scodeggio , A. Secroun , G. Seidel , M. Seiffert , S. Serrano , P. Simon , C. Sirignano , G. Sirri , A. Spurio Mancini , L. Stanco , J. Steinwagner , P. Tallada-Crespí , D. Tavagnacco , A. N. Taylor , I. Tereno , N. Tessore , S. Toft , R. Toledo-Moreo , F. Torradeflot , A. Tsyganov , 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 , M. Bolzonella , E. Bozzo , C. Burigana , R. Cabanac , M. Calabrese , A. Cappi , D. Di Ferdinando , J. A. Escartin Vigo , L. Gabarra , J. Martín-Fleitas , S. Matthew , M. Maturi , N. Mauri , R. B. Metcalf , A. A. Nucita , M. Pöntinen , I. Risso , V. Scottez , M. Sereno , M. Tenti , M. Viel , M. Wiesmann , Y. Akrami , I. T. Andika , S. Anselmi , M. Archidiacono , F. Atrio-Barandela , A. Balaguera-Antolinez , D. Bertacca , M. Bethermin , L. Blot , H. Böhringer , S. Borgani , M. L. Brown , S. Bruton , A. Calabro , F. Caro , C. S. Carvalho , T. Castro , F. Cogato , S. Conseil , S. Contarini , A. R. Cooray , O. Cucciati , S. Davini , F. De Paolis , G. Desprez , A. Díaz-Sánchez , J. J. Diaz , S. Di Domizio , J. M. Diego , P. Dimauro , A. Enia , Y. Fang , A. G. Ferrari , P. G. Ferreira , A. Finoguenov , A. Franco , K. Ganga , J. García-Bellido , T. Gasparetto , V. Gautard , E. Gaztanaga , F. Giacomini , F. Gianotti , G. Gozaliasl , C. M. Gutierrez , C. Hernández-Monteagudo , H. Hildebrandt , J. Hjorth , S. Joudaki , J. J. E. Kajava , Y. Kang , V. Kansal , D. Karagiannis , K. Kiiveri , C. C. Kirkpatrick , S. Kruk , M. Lattanzi , L. Legrand , M. Lembo , F. Lepori , G. Leroy , G. F. Lesci , J. Lesgourgues , L. Leuzzi , T. I. Liaudat , A. Loureiro , J. Macias-Perez , G. Maggio , M. Magliocchetti , F. Mannucci , R. Maoli , C. J. A. P. Martins , L. Maurin , M. Miluzio , P. Monaco , G. Morgante , S. Nadathur , K. Naidoo , A. Navarro-Alsina , S. Nesseris , L. Pagano , F. Passalacqua , K. Paterson , L. Patrizii , A. Pisani , D. Potter , S. Quai , M. Radovich , P. Reimberg , P. -F. Rocci , G. Rodighiero , S. Sacquegna , M. Sahlén , D. B. Sanders , A. Schneider , D. Sciotti , E. Sellentin , L. C. Smith , J. G. Sorce , K. Tanidis , C. Tao , G. Testera , R. Teyssier , S. Tosi , A. Troja , M. Tucci , C. Valieri , A. Venhola , D. Vergani , F. Vernizzi , G. Verza , P. Vielzeuf , N. A. Walton