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Redshift-space distortions are a sensitive probe of the growth of large-scale structure. In the linear regime, redshift-space distortions are fully described by the multipoles of the two-point correlation function. In the nonlinear regime,…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-11 Felipe O. Franco , Camille Bonvin , Danail Obreschkow , Kamran Ali , Joyce Byun

We present a new statistical tool, called the triangle correlation function (TCF), inspired by the earlier work of Obreschkow et al. It is derived from the three-point correlation function and aims to probe the characteristic scale of…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-04 Adélie Gorce , Jonathan R. Pritchard

Building on previous developments of a harmonic decomposition framework for computing the three-point correlation function (3PCF) of projected scalar fields over the sky, this work investigates how much cosmological information is contained…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-16 Sofia Samario-Nava , Alejandro Aviles , Juan Carlos Hidalgo

We present models for the three-point correlation function (3PCF) of both dark matter and galaxies. We show that models based on the halo model can reasonably match the dark matter 3PCF obtained from high-resolution $N$-body simulations. On…

Astrophysics · Physics 2009-11-10 Yu Wang , Xiaohu Yang , H. J. Mo , Frank C. van den Bosch , YaoQuan Chu

Conventional estimators of the anisotropic power spectrum and two-point correlation function (2PCF) adopt the `Yamamoto approximation', fixing the line-of-sight of a pair of galaxies to that of just one of its members. Whilst this is…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-16 Oliver H. E. Philcox , Zachary Slepian

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

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

We present an algorithm that computes the multipole coefficients of the galaxy three-point correlation function (3PCF) without explicitly considering triplets of galaxies. Rather, centering on each galaxy in the survey, it expands the…

Cosmology and Nongalactic Astrophysics · Physics 2015-11-04 Zachary Slepian , Daniel J. Eisenstein

Several recent measurements have been made of the angular correlation function $w(\theta,m)$ of faint galaxies in deep surveys (e.g., Hubble Deep Field, HDF). Are the measured correlations indicative of gravitational growth of primordial…

Astrophysics · Physics 2016-08-30 Boudewijn F. Roukema , David Valls-Gabaud

The next generation of galaxy surveys will provide highly accurate measurements of the large-scale structure of the Universe, allowing for more stringent tests of gravity on cosmological scales. Higher order statistics are a valuable tool…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-29 Alejandro Aviles , Gustavo Niz

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

Ongoing and future spectroscopic galaxy surveys will cover unprecedented volumes with a number of objects large enough to effectively probe clustering anisotropies through higher-order statistics. In this work, we present a novel and…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-19 Antonio Farina , Alfonso Veropalumbo , Enzo Branchini , Massimo Guidi

The "spectral correlation function" analysis we introduce in this paper is a new tool for analyzing spectral-line data cubes. Our initial tests, carried out on a suite of observed and simulated data cubes, indicate that the spectral…

Over the next decade, improvements in cosmological parameter constraints will be driven by surveys of large-scale structure. Its inherent non-linearity suggests that significant information will be embedded in higher correlations beyond the…

Cosmology and Nongalactic Astrophysics · Physics 2017-07-19 Joyce Byun , Alexander Eggemeier , Donough Regan , David Seery , Robert E. Smith

We consider near-critical two-dimensional statistical systems with boundary conditions inducing phase separation on the strip. By exploiting low-energy properties of two-dimensional field theories, we compute arbitrary $n$-point correlation…

High Energy Physics - Theory · Physics 2021-12-01 Alessio Squarcini

Extreme gravitational lensing and relativistic frequency shifts, combined together, imply that radiation emitted from a black hole's vicinity can echo at different frequencies and times, leading to spectrotemporal correlations in observed…

High Energy Astrophysical Phenomena · Physics 2025-08-19 Sreehari Harikesh , Shahar Hadar , Doron Chelouche

The fundamental plane (FP) is a widely used tool to investigate the properties of early-type galaxies, and the tight relation between its parameters has spawned several cosmological applications, including its use as a distance indicator…

Cosmology and Nongalactic Astrophysics · Physics 2015-12-03 Benjamin Joachimi , Sukhdeep Singh , Rachel Mandelbaum

We present the integrated 3-point correlation functions (3PCF) involving both the cosmic shear and the galaxy density fields. These are a set of higher-order statistics that describe the modulation of local 2-point correlation functions…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-29 Anik Halder , Zhengyangguang Gong , Alexandre Barreira , Oliver Friedrich , Stella Seitz , Daniel Gruen

Light-field microscopy (LFM) is a 3D microscopy technique whereby volumetric information of a sample is gained by simultaneously capturing both the position and momentum (angular) information of light illuminating a scene. Conventional LFM…

Quantum Physics · Physics 2024-03-01 Yingwen Zhang , Duncan England , Antony Orth , Ebrahim Karimi , Benjamin Sussman

We find the geometric phase of a two-level system undergoing pure dephasing via interaction with an arbitrary environment, taking into account the effect of the initial system-environment correlations. We use our formalism to calculate the…

Quantum Physics · Physics 2020-03-04 Sharoon Austin , Sheraz Zahid , Adam Zaman Chaudhry