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We report on the first measurement of the three-point function with the position-dependent correlation function from the SDSS-III Baryon Oscillation Spectroscopic Survey (BOSS) Data Release 10 CMASS sample. This new observable measures the…

Cosmology and Nongalactic Astrophysics · Physics 2015-12-02 Chi-Ting Chiang , Christian Wagner , Ariel G. Sánchez , Fabian Schmidt , Eiichiro Komatsu

In condensed-matter, level statistics has long been used to characterize the phases of a disordered system. We provide evidence within the context of a simple model that in a disordered large-N gauge theory with a gravity dual, there exist…

High Energy Physics - Theory · Physics 2012-06-12 Omid Saremi

We propose a method to reconstruct smeared spectral functions from two-point correlation functions measured on the Euclidean lattice. Arbitrary smearing function can be considered as far as it is smooth enough to allow an approximation…

High Energy Physics - Lattice · Physics 2020-05-06 Gabriela Bailas , Shoji Hashimoto , Tsutomu Ishikawa

Doubly intractable distributions arise in many settings, for example in Markov models for point processes and exponential random graph models for networks. Bayesian inference for these models is challenging because they involve intractable…

Computation · Statistics 2019-04-03 Jaewoo Park , Murali Haran

Two-point correlation functions (2PCF) are widely used to characterize how points cluster in space. In this work, we study the problem of measuring the 2PCF over a large set of points, restricted to a subset satisfying a property of…

Computer Vision and Pattern Recognition · Computer Science 2026-04-08 Max Hamilton , Daniel Sheldon , Subhransu Maji

Weak gravitational lensing alters the apparent separations between observed sources, potentially affecting clustering statistics. We derive a general expression for the lensing deflection which is valid for any three-point statistic, and…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-10 Susan Pyne , Benjamin Joachimi , Hiranya V. Peiris

We study how the two-point density correlation properties of a point particle distribution are modified when each particle is divided, by a stochastic process, into an equal number of identical "daughter" particles. We consider generically…

Statistical Mechanics · Physics 2009-11-13 Andrea Gabrielli , Michael Joyce

We estimate the amplitude of the source-lens clustering bias and of the intrinsic-alignment bias of weak lensing estimators of the two-point and three-point convergence and cosmic-shear correlation functions. We use a linear galaxy bias…

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

In the forthcoming large volume galaxy surveys higher order statistics will provide complementary information to the usual two point statistics. Low variance estimators of the Three Point Correlation Function (3CPF) of discrete data count…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-06 Fidel Sosa Nuñez , Gustavo Niz

This paper studies the problem of estimation from relative measurements in a graph, in which a vector indexed over the nodes has to be reconstructed from pairwise measurements of differences between its components associated to nodes…

Systems and Control · Computer Science 2018-07-27 Chiara Ravazzi , Nelson P. K. Chan , Paolo Frasca

We present a comparison of major methodologies of fast generating mock halo or galaxy catalogues. The comparison is done for two-point and the three-point clustering statistics. The reference catalogues are drawn from the BigMultiDark…

Machine learning, algorithms to extract empirical knowledge from data, can be used to classify data, which is one of the most common tasks in observational astronomy. In this paper, we focus on Bayesian data classification algorithms using…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 K. J. Lee , L. Guillemot , Y. L. Yue , M. Kramer , D. J. Champion

Shape dependence of higher order correlations introduces complication in direct determination of these quantities. For this reason theoretical and observational progress has been restricted in calculating one point distribution functions…

Astrophysics · Physics 2007-05-23 Dipak Munshi , Adrian L. Melott

We present a new measure of the angular two-point correlation function of Lyman-break galaxies (LBGs) at z~3, obtained from the variance of galaxy counts in 2-dimensional cells. By avoiding binning of the angular separations, this method is…

Astrophysics · Physics 2009-11-06 Cristiano Porciani , Mauro Giavalisco

Poisson distributed shot noise is normally considered in the Gaussian limit in cosmology. However, if the shot noise is large enough and the correlation function/power spectrum conspires, the Gaussian approximation mis-estimates the errors…

Astrophysics · Physics 2009-01-23 J. D. Cohn

We propose a new way to measure inequalities such as the glass ceiling effect in attributed networks. Existing measures typically rely solely on node degree distribution or degree assortativity, but our approach goes beyond these measures…

Social and Information Networks · Computer Science 2023-03-20 Rui Luo , Buddhika Nettasinghe , Vikram Krishnamurthy

We present a new method to determine the probability distribution of the 3-D shapes of galaxy clusters from the 2-D images using stereology. In contrast to the conventional approach of combining different data sets (such as X-rays,…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-06 Swapnil Shankar , Rishi Khatri

In this paper we present a novel particle method for the Vlasov--Poisson equation. Unlike in conventional particle methods, the particles are not interpreted as point charges, but as point values of the distribution function. In between the…

Numerical Analysis · Mathematics 2022-11-04 Rostislav-Paul Wilhelm , Matthias Kirchhart

We develop a new statistical method to reanalyse angular correlations between background QSOs and foreground galaxies that are supposed to be a consequence of dark matter inhomogeneities acting as weak gravitational lenses. The method is…

Astrophysics · Physics 2007-05-23 Armin Bartsch , Peter Schneider , Matthias Bartelmann

We present the three-dimensional power spectrum of galaxy clustering using measurements of the angular correlation function from the second incremental release of the Two-Micron All Sky Survey (2MASS). The angular positions of galaxies out…

Astrophysics · Physics 2019-08-17 B. Allgood , G. Blumenthal , J. R. Primack