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The static transverse and longitudinal correlation functions (CF) of a 3-dimensional ferromagnet are calculated for the exactly solvable anisotropic spherical model (ASM) determined as the limit D \to \infty of the classical D-component…

Statistical Mechanics · Physics 2015-06-25 D. A. Garanin

We investigate the three-point correlation between the Lyman-$\alpha$ forest and the CMB weak lensing ($\delta_F \delta_F \kappa$) expressed as the cross-correlation between the CMB weak lensing field and local variations in the forest…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-24 Chi-Ting Chiang , Anže Slosar

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

While the Lyman-$\alpha$ (Ly$\alpha$) forest traces the large-scale matter distribution over a wide range of redshift, its three-dimensional (3D) clustering at $z < 2$ has not yet been measured. We investigate the prospects for measuring…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-23 Ting Tan , Huanyuan Shan , Eric Armengaud

We develop a general method for power spectrum analysis of three dimensional redshift surveys. We present rigorous analytical estimates for the statistical uncertainty in the power and we are able to derive a rigorous optimal weighting…

Astrophysics · Physics 2011-05-05 Hume A. Feldman , Nick Kaiser , John A. Peacock

Detections of local maxima in the density perturbation spectrum at characteristic comoving scales L~100-200h^{-1}Mpc have previously been claimed. Here, this cosmic standard ruler is sought in the ``10K'' release of the 2dF QSO Redshift…

Astrophysics · Physics 2009-11-06 B. F. Roukema , G. A. Mamon , S. Bajtlik

We introduce the response function (RFs) approach to model the weak lensing statistics in the context of separate universe formalism. Numerical results for the RFs are presented for various semi-analytical models that include perturbative…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-26 D. Munshi , R. Takahashi , J. D. McEwen

The evolution of quasar clustering is investigated with a new sample of 388 quasars with 0.3<z<=2.2, B<=20.5 and Mb<-23, selected over an area of 24.6 sq. deg. in the South Galactic Pole. Assuming a two-point correlation function of the…

Astrophysics · Physics 2009-10-30 Fabio La Franca , Paola Andreani , Stefano Cristiani

The anisotropic galaxy 2-point correlation function (2PCF) allows measurement of the growth of large-scale structures from the effect of peculiar velocities on the clustering pattern. We present new measurements of the auto- and cross-…

Cosmology and Nongalactic Astrophysics · Physics 2015-12-09 Felipe A. Marín , Florian Beutler , Chris Blake , Jun Koda , Eyal Kazin , Donald P. Schneider

Large-scale structure (LSS) surveys will increasingly provide stringent constraints on our cosmological models. Recently, the density-marked correlation function (MCF) has been introduced, offering an easily computable density-correlation…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-11 L. M. Lai , J. C. Ding , X. L. Luo , Y. Z. Yang , Z. H. Wang , K. S. Liu , G. F. Liu , X. Wang , Y. Zheng , Z. Y. Li , L. Zhang , X. D. Li

The first non-trivial cumulant correlator of the galaxy density field $Q_{21}$ is examined from the point of view of biasing. It is shown that to leading order it depends on two biasing parameters $b$, and $b_2$, and on $q_{21}$, the…

Astrophysics · Physics 2009-10-30 Istvan Szapudi

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

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

Angular cosmological correlators are infamously difficult to compute due to the highly oscillatory nature of the projection integrals. Motivated by recent development on analytic approaches to cosmological perturbation theory, in this paper…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-03 Hayden Lee , Cora Dvorkin

We investigate the impact of baryonic feedback on two-point and three-point correlation functions (2PCFs and 3PCFs hereafter, respectively) involving galaxy density fields (g) and weak lensing shear fields (G), from simulated photometric…

In the near future, cosmology will enter the wide and deep galaxy survey area allowing high-precision studies of the large scale structure of the universe in three dimensions. To test cosmological models and determine their parameters…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-11 J. -E. Campagne , S. Plaszczynski , J. Neveu

We investigate the evolution of the galaxy two point correlation function (CF) over a wide redshift range, 0.2 < z < 3. For the first time the systematic analysis covers the redshifts above 1 - 1.5. The catalogue of ~250000 galaxies with i+…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-09 A. M. Soltan , M. J. Chodorowski

Current cosmological tensions motivate investigating extensions to the standard $\Lambda$CDM model. Additional model parameters are typically varied one or two at a time, in a series of separate tests. The purpose of this paper is to…

Cosmology and Nongalactic Astrophysics · Physics 2020-08-11 Yajing Huang , Graeme Addison , Charles Bennett

A sample of eight quasars observed at high resolution and signal-to-noise is used to determine the probability distribution function (PDF), the power spectrum, and the correlation function of the transmitted flux in the \lya forest, in…

We develop a model for correlations of cosmic microwave background anisotropy on the largest angular scales, based on standard causal geometrical relationships in slow-roll inflation. Unlike standard models based on quantized field modes,…

General Relativity and Quantum Cosmology · Physics 2023-08-02 Craig Hogan , Stephan S. Meyer , Nathaniel Selub , Frederick Wehlen