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The three-point correlation function (3PCF) provides an important view into the clustering of galaxies that is not available to its lower order cousin, the two-point correlation function (2PCF). Higher order statistics, such as the 3PCF,…

We present an improved method for calculating the parallel and perpendicular velocity correlation functions directly from peculiar velocity surveys using weighted maximum-likelihood estimators. A central feature of the new method is the use…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-29 Yuyu Wang , Sarah Peery , Hume A. Feldman , Richard Watkins

In recent years, deep learning approaches have achieved state-of-the-art results in the analysis of point cloud data. In cosmology, galaxy redshift surveys resemble such a permutation invariant collection of positions in space. These…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-23 Sotiris Anagnostidis , Arne Thomsen , Tomasz Kacprzak , Tilman Tröster , Luca Biggio , Alexandre Refregier , Thomas Hofmann

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 recent COSY-11 collaboration measurement of the two-proton correlation function in the pp -> ppeta reaction, reported at this meeting [1], arouse some interest in a simple theoretical description of the correlation function. In these…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Deloff

We summarize a series of our recent work concerning the cosmological redshift-space distortion and light-cone effects. After briefly describing the theoretical formalism, we show how those effects are sensitive to the cosmological…

Astrophysics · Physics 2007-05-23 Yasushi Suto

We use the two-point correlation function in redshift space, $\xi(s)$, to study the clustering of the galaxies and groups of the Nearby Optical Galaxy (NOG) Sample, which is a nearly all-sky, complete, magnitude-limited sample of \~7000…

Astrophysics · Physics 2007-05-23 G. Giuricin , S. Samurovic , M. Girardi , M. Mezzetti , C. Marinoni

We measure the clustering of galaxy groups in the 2dFGRS Percolation-Inferred Galaxy Group (2PIGG) catalogue. The 2PIGG sample has 29,000 groups with at least two members. The clustering amplitude of the full 2PIGG catalogue is weaker than…

We propose a new method of constraining the redshifts of individual extragalactic sources based on celestial coordinates and their ensemble statistics. Techniques from integer linear programming are utilized to optimize simultaneously for…

Instrumentation and Methods for Astrophysics · Physics 2016-11-15 Benjamin C. G. Lee , Tamás Budavári , Amitabh Basu , Mubdi Rahman

Geometrical model of structure of the universe is examined to obtain analytical expression for the two points nonlinear correlation function. According to the model the objects (galaxies) are concentrated into two types of structure…

Astrophysics · Physics 2007-05-23 O. Buryak , A. Doroshkevich

We model the two-point correlation function of galaxies in a cold dark matter Universe by combining two powerful theoretical tools - dissipationless N-body simulations of dark matter clustering (specifically the GIF simulations carried out…

Astrophysics · Physics 2007-05-23 A. J. Benson , S. Cole , C. S. Frenk , C. M. Baugh , C. G. Lacey

Two-point correlation functions are ubiquitous tools of modern cosmology, appearing in disparate topics ranging from cosmological inflation to late-time astrophysics. When the background spacetime is maximally symmetric, invariance…

General Relativity and Quantum Cosmology · Physics 2017-02-22 Oton H. Marcori , Thiago S. Pereira

Model fitting is frequently used to determine the shape of galaxies and the point spread function, for examples, in weak lensing analyses or morphology studies aiming at probing the evolution of galaxies. However, the number of parameters…

Cosmology and Nongalactic Astrophysics · Physics 2012-10-03 Guoliang Li , Bo Xin , Wei Cui

We propose an anisotropic generalisation of the line correlation function (ALCF) to separate and quantify phase information in the large-scale structure of galaxies. The line correlation function probes the strictly non-linear regime of…

Cosmology and Nongalactic Astrophysics · Physics 2015-10-22 Alexander Eggemeier , Thorsten Battefeld , Robert E. Smith , Jens Niemeyer

In a detailed analysis of the three point correlation function (3PCF) for the 2dF Galaxy Redshift Survey we have accurately measured the 3PCF for galaxies of different luminosity. The 3PCF amplitudes [$\Qsu$ or $\Qrpu$] of the galaxies…

Astrophysics · Physics 2009-11-10 Y. P. Jing , G. Boerner

A quick guide on how to use the FXCOR task in IRAF to cross-correlate a galaxy spectrum to a template star, in order to extract the galaxy's velocity dispersion.

Instrumentation and Methods for Astrophysics · Physics 2009-12-25 M. Alpaslan

We investigate the spatial clustering of galaxies in the PSCz galaxy redshift survey, as revealed by the two-point correlation function, the luminosity mark correlations, and the moments of counts-in-cells. We construct volume-limited…

Astrophysics · Physics 2009-10-31 István Szapudi , Enzo Branchini , C. S. Frenk , Steve Maddox , Will Saunders

Data from the ongoing \textit{Euclid} survey will map out billions of galaxies in the Universe, covering more than a third of the sky. This data will provide a wealth of information about the large-scale structure (LSS) of the Universe and…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-23 Vetle A. Vikenes , Cheng-Zong Ruan , David F. Mota

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…

Astrophysics · Physics 2007-05-23 Kazuhiro Yamamoto , Hiroaki Nishioka , Atsushi Taruya
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