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We investigate the possible accuracy that can be reached by analytical models for the matter density power spectrum and correlation function. Using a realistic description of the power spectrum that combines perturbation theory with a halo…

Cosmology and Nongalactic Astrophysics · Physics 2014-01-17 Patrick Valageas

We use network theory to study topological features in the hierarchical clustering of dark matter halos. We use public halo catalogs from cosmological N-body simulations and construct tree graphs that connect halos within main halo systems.…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-22 Daneng Yang , Hai-Bo Yu

A recent mode coupling theory of higher-order correlation functions is tested on a simple hard-sphere fluid system at intermediate densities. Multi-point and multi-time correlation functions of the densities of conserved variables are…

Statistical Mechanics · Physics 2009-11-07 Ramses van Zon , Jeremy Schofield

A conclusive demonstration has been provided that the nature of the shear-thinning, that affects both film thickness and traction in EHL contacts, follows the ordinary power-law rule that has been described by many empirical models of which…

Classical Physics · Physics 2007-05-23 Scott Bair , Philippe Vergne , Michel Querry

Some puzzles which arise in matrix models with multiple cuts are presented. They are present in the smoothed eigenvalue correlators of these models. First a method is described to calculate smoothed eigenvalue correlators in random matrix…

Condensed Matter · Physics 2007-05-23 E. Brezin , N. Deo

The clustering of matter on cosmological scales is an essential probe for studying the physical origin and composition of our Universe. To date, most of the direct studies have focused on shear-shear weak lensing correlations, but it is…

Cosmology and Nongalactic Astrophysics · Physics 2010-07-26 Tobias Baldauf , Robert E. Smith , Uros Seljak , Rachel Mandelbaum

We study the optimal use of third order statistics in the analysis of weak lensing by large-scale structure. These higher order statistics have long been advocated as a powerful tool to break measured degeneracies between cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2009-12-15 S. Vafaei , T. Lu , L. van Waerbeke , E. Semboloni , C. Heymans , U. L. Pen

We use N-body simulations to test the predictions of the redshift distortion in the power spectrum given by the halo model in which the clustering of dark matter particles is considered as a result both of the clustering of dark halos in…

Astrophysics · Physics 2009-11-07 Xi. Kang , Y. P. Jing , H. J. Mo , G. Borner

The analysis method proposed in Ref. \cite{rotival07a} is applied to characterize halo properties in finite many-fermion systems. First, the versatility of the method is highlighted by applying it to light and medium-mass nuclei as well as…

Nuclear Theory · Physics 2013-05-29 V. Rotival , K. Bennaceur , T. Duguet

In order to quantify the error budget in the measured probability distribution functions of cell densities, the two-point statistics of cosmic densities in concentric spheres is investigated. Bias functions are introduced as the ratio of…

Cosmology and Nongalactic Astrophysics · Physics 2016-06-08 Sandrine Codis , Francis Bernardeau , Christophe Pichon

One of the main obstacles for the signal extraction of the three point correlation function using photometric surveys, such as the Rubin Observatory Legacy Survey of Space and Time (LSST), will be the prohibitive computation time required…

We establish a one-to-one correspondence between virialized haloes and their seeds, namely peaks with a given density contrast at appropriate Gaussian-filtering radii, in the initial Gaussian random density field. This fixes a rigorous…

Cosmology and Nongalactic Astrophysics · Physics 2014-03-05 Enric Juan , Eduard Salvador-Solé , Guillem Domènech , Alberto Manrique

Accurate modelling of the one-to-two halo transition has long been difficult to achieve. We demonstrate that physically motivated halo definitions that respect the bimodal phase-space distribution of dark matter particles near halos…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-11 Edgar M. Salazar , Eduardo Rozo , Rafael García , Nickolas Kokron , Susmita Adhikari , Benedikt Diemer , Calvin Osinga

Halo Models of large scale structure provide powerful and indispensable tools for phenomenological understanding of the clustering of matter in the Universe. While the halo model builds structures out of the superposition of haloes,…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-26 Alice Chen , Niayesh Afshordi

We present an optimised multipole algorithm for computing the three-point correlation function (3PCF), tailored for application to large-scale cosmological datasets. The algorithm builds on a $in\, situ$ interpretation of correlation…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-21 Wenjie Ju , Longlong Feng , Zhiqi Huang , Xin Sun , Weishan Zhu

Present and future high-precision tests of the Standard Model and beyond for the fundamental constituents and interactions in Nature are demanding complex perturbative calculations involving multi-leg and multi-loop Feynman diagrams.…

High Energy Physics - Phenomenology · Physics 2011-04-15 Luis G. Cabral-Rosetti , Miguel A. Sanchis-Lozano

We present a generalization of the discrete Lehmann representation (DLR) to three-point correlation and vertex functions in imaginary time and Matsubara frequency. The representation takes the form of a linear combination of judiciously…

Computational Physics · Physics 2025-03-27 Dominik Kiese , Hugo U. R. Strand , Kun Chen , Nils Wentzell , Olivier Parcollet , Jason Kaye

We present measurements of the spatial clustering statistics in redshift space of various scalar field modified gravity simulations. We utilise the two-point and the three-point correlation functions to quantify the spatial distribution of…

Cosmology and Nongalactic Astrophysics · Physics 2016-07-20 Cristiano G. Sabiu , David F. Mota , Claudio Llinares , Changbom Park

We explore the biasing in the clustering statistics of halos as compared to dark matter (DM) in simulations. We look at the second and third order statistics at large scales of the (intermediate) MICEL1536 simulation and also measure…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 Marc Manera , Enrique Gaztanaga

We present the observational evidence of the 2-halo term in the stacked shear profile of a sample of about 1200 optically selected galaxy clusters based on imaging data and the public shear catalog from the CFHTLenS. We find that the halo…

Cosmology and Nongalactic Astrophysics · Physics 2014-04-15 Giovanni Covone , Mauro Sereno , Martin Kilbinger , Vincenzo F. Cardone