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We present a new approach to measuring cosmic expansion history and growth rate of large scale structure using the anisotropic two dimensional galaxy correlation function (2DCF) measured from data; it makes use of the empirical modeling of…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-07 Yun Wang

We propose a method to measure the ellipticities of dark matter halos using the lens-shear-shear 3-point correlation function. This method is immune to effects of galaxy-halo misalignments that can potentially limit 2-point galaxy-galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 Susmita Adhikari , Chun Yin Ricky Chue , Neal Dalal

The anisotropic 2-point correlation function (2PCF) of galaxies measures pairwise clustering as a function of the pair separation's angle to the line of sight. The latter is often defined as either the angle bisector of the…

Cosmology and Nongalactic Astrophysics · Physics 2015-10-19 Zachary Slepian , Daniel J. Eisenstein

We investigate the utility of the 3-dimensional Two-Point Correlation Function (3D 2PCF) in quantifying substructure in the stellar halo of the Milky Way, particularly as a means of constraining the accretion history of our Galaxy. We use…

Astrophysics of Galaxies · Physics 2019-01-23 Lachlan Lancaster , Vasily Belokurov , N. Wyn Evans

We calculate the normalized angular three-point correlation function (3PCF), $q$, as well as the normalized angular skewness, $s_3$, assuming the small-angle approximation, for a biased mass distribution in flat and open cold-dark-matter…

Astrophysics · Physics 2009-10-31 Ari Buchalter , Marc Kamionkowski , Andrew H. Jaffe

The three-point correlation function (3PCF) is a powerful probe to investigate the clustering of matter in the Universe in a complementary way with respect to lower-order statistics, providing additional information with respect to the…

The three-point correlation function (3PCF) for galaxies provides an opportunity to measure the non-Gaussianity generated from nonlinear structure formation and also probes information about galaxy formation and evolution that is generally…

Cosmology and Nongalactic Astrophysics · Physics 2014-09-30 Hong Guo , Cheng Li , Y. P. Jing , G. Börner

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

Analytical templates for the 4-Point Correlation Function (4PCF) covariance matrix have been developed in the past assuming a Gaussian Random Field (GRF). In this work, we present the second part of the beyond GRF calculation of the 4PCF…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-09 William Ortolá Leonard , Zachary Slepian

Third-order statistics provide information beyond two-point measures, but extracting this information requires accurate and consistent modelling. We measure and detect the three-point correlation function and third-order aperture-mass…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-27 Casper Vedder , Thomas Bakx , Nora Elisa Chisari , Henk Hoekstra , Matthieu Schaller

We provide a systematic study of the position-dependent correlation function in weak lensing convergence maps and its relation to the squeezed limit of the three-point correlation function (3PCF) using state-of-the-art numerical…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-14 D. Munshi , G. Jung , T. D. Kitching , J. McEwen , M. Liguori , T. Namikawa , A. Heavens

We study halo clustering bias with second- and third-order statistics of halo and matter density fields in the MICE Grand Challenge simulation. We verify that two-point correlations deliver reliable estimates of the linear bias parameters…

Cosmology and Nongalactic Astrophysics · Physics 2015-10-19 Julien Bel , Kai Hoffmann , Enrique Gaztañaga

We present a study of the 3-pt angular correlation function w_3= <delta_1 delta_2 delta_3> of (adimensional) temperature anisotropies measured by the Wilkinson Microwave Anisotropy Probe (WMAP). Results can be normalized to the 2-point…

Astrophysics · Physics 2009-11-07 E. Gaztanaga , J. Wagg

Studying the matter distribution in the universe through the Lyman-$\alpha$ forest allows us to constrain small-scale physics in the high-redshift regime. Spectroscopic quasar surveys are generating increasingly large datasets that require…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-23 Josue De-Santiago , Rafael Gutiérrez-Balboa , Gustavo Niz , Alma X. González-Morales

Motivated by observational results, we use IllustrisTNG hydrodynamical numerical simulations to study the alignment of the central galaxies in groups with the surrounding structures. This approach allows us to analyse galaxy and group…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-05 Facundo Rodriguez , Manuel Merchán , M. Celeste Artale , Moira Andrews

This paper is the first in a set that analyses the covariance matrices of clustering statistics obtained from several approximate methods for gravitational structure formation. We focus here on the covariance matrices of anisotropic…

We present a new method to estimate three-point correlations in Cosmic Microwave Background maps. Our Fast Fourier Transform based implementation estimates three-point functions using all possible configurations (triangles) at a controlled…

Astrophysics · Physics 2009-11-13 Gang Chen , Istvan Szapudi

Conventional studies of galaxy clustering within the framework of halo models typically assume that the density profile of all dark matter haloes can be approximated by the Navarro-Frenk-White (NFW) spherically symmetric profile. However,…

Cosmology and Nongalactic Astrophysics · Physics 2024-04-09 Anna Durkalec , Agnieszka Pollo , Ummi Abbas

We investigate the nonlinear two- and three-point correlation functions of the cosmological density field in Fourier space and test the popular hierarchical clustering model, that the three-point amplitude Q is independent of scale. In…

Astrophysics · Physics 2009-10-31 Chung-Pei Ma , J. N. Fry

We present a new method that simultaneously solves for cosmology and galaxy bias on non-linear scales. The method uses the halo model to analytically describe the (non-linear) matter distribution, and the conditional luminosity function…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Frank van den Bosch , Surhud More , Marcello Cacciato , Houjun Mo , Xiaohu Yang