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We present a first principle approach to obtain analytical predictions for spherically-averaged cosmic densities in the mildly non-linear regime that go well beyond what is usually achieved by standard perturbation theory. A large deviation…

Cosmology and Nongalactic Astrophysics · Physics 2016-05-25 Cora Uhlemann , Sandrine Codis , Christophe Pichon , Francis Bernardeau , Paulo Reimberg

Using a suite of self-similar cosmological simulations, we measure the probability distribution functions (PDFs) of real-space density, redshift-space density, and their geometric mean. We find that the real-space density PDF is…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-27 Huanqing Chen , Nickolay Y. Gnedin , Philip Mansfield

We provide an exact expression for the multi-variate joint probability distribution function of non-Gaussian fields primordially arising from local transformations of a Gaussian field. This kind of non-Gaussianity is generated in many…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Licia Verde , Raul Jimenez , Luis Alvarez-Gaume , Alan F. Heavens , Sabino Matarrese

The last few years have seen a surge in excitement about measurements of statistics of the primordial fluctuations beyond the power spectrum. New ideas for precision tests of Gaussianity and statistical isotropy in the data are developing…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Dragan Huterer , Eiichiro Komatsu , Sarah Shandera

The gravitational waves (GWs) emitted by inspiraling binary black holes, expected to be detected by the Laser Interferometer Space Antenna (LISA), could be used to determine the luminosity distance to these sources with the unprecedented…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Cien Shang , Zoltan Haiman

We present predictions for the one-point probability distribution and cumulants of the transmitted QSO flux in the high redshift Lyman-$\alpha$ Forest. We make use of the correlation between the Lyman-$\alpha$ optical depth and the…

Astrophysics · Physics 2009-10-31 Enrique Gaztanaga , Rupert A. C. Croft

This letter provides the first prediction of the probability density function (PDF) of flux $R$ in plasma sheath sheath region in magnetic fusion devices which is characterized by dynamical equations with exponential non-linearities. By…

Plasma Physics · Physics 2015-05-13 Johan Anderson , Eun-jin Kim

We demonstrate that accurate and precise cosmological information can be extracted from the cell count analysis of the 3D spatial clustering of galaxies once the second-order ratio between one- and two-point moments of the smoothed galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2013-12-13 J. Bel , C. Marinoni

We provide a set of general tools for studying the alignments of dark matter halos and galaxies with respect to the large scale structure. The statistics of the positioning of these objects is represented by a Probability Distribution…

Cosmology and Nongalactic Astrophysics · Physics 2009-12-08 Juan E. Betancort-Rijo , Ignacio Trujillo

Most statistical inference from cosmic large-scale structure relies on two-point statistics, i.e.\ on the galaxy-galaxy correlation function (2PCF) or the power spectrum. These statistics capture the full information encoded in the Fourier…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-09 Kamran Ali , Danail Obreschkow , Cullan Howlett , Camille Bonvin , Claudio Llinares , Felipe Oliveira Franco , Chris Power

While second and higher order correlations of the light distribution have received extensive study, the lowest order probability distribution function (PDF) -- the probability that a unit volume of space will emit a given amount of light --…

Astrophysics · Physics 2009-11-07 Jeremiah P. Ostriker , Kentaro Nagamine , Renyue Cen , Masataka Fukugita

By means of the present geometrical and dynamical observational data, it is very hard to establish, from a statistical perspective, a clear preference among the vast majority of the proposed models for the dynamical dark energy and/or…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-07 Tomasz Denkiewicz , Vincenzo Salzano

The properties of the probability distribution function of the cosmological continuous density field are studied. We present further developments and compare dynamically motivated methods to derive the PDF. One of them is based on the…

Astrophysics · Physics 2009-10-22 F. Bernardeau , L. Kofman

We present an analytical model for density-split correlation functions, that probe galaxy clustering in different density environments. Specifically, we focus on the cross-correlation between density-split regions and the tracer density…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-23 Mathilde Pinon , Arnaud de Mattia , Étienne Burtin , Vanina Ruhlmann-Kleider , Sandrine Codis , Enrique Paillas , Carolina Cuesta-Lazaro

In the cold dark matter scenario, galactic dark matter halos are populated with a large number of smaller subhalos. Previous work has shown that dark matter annihilations in subhalos can generate a distinctive, non-Poisson signal in the…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-24 Jack Runburg , Eric J. Baxter , Jason Kumar

We study the behavior of n-point functions of the primordial curvature perturbations, assuming our observed Universe is only a subset of a larger space with statistically homogeneous and isotropic perturbations. If the larger space has…

Cosmology and Nongalactic Astrophysics · Physics 2013-07-25 Elliot Nelson , Sarah Shandera

In the context of upcoming large-scale structure surveys such as Euclid, it is of prime importance to quantify the effect of peculiar velocities on geometric probes. Hence the formalism to compute in redshift space the geometrical and…

Cosmology and Nongalactic Astrophysics · Physics 2014-02-13 Sandrine Codis , Christophe Pichon , Dmitry Pogosyan , Francis Bernardeau , Takahiko Matsubara

The dependence of galaxy clustering on local density provides an effective method for extracting non-Gaussian information from galaxy surveys. The two-point correlation function (2PCF) provides a complete statistical description of a…

In this paper, we study the statistical evolution of the large-scale structure (LSS), focusing on the joint probability distribution function (PDF) of the coarse-grained cosmic field and its role in constructing effective dynamics. As the…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-20 Xin Wang

Unprecedentedly precise cosmic microwave background (CMB) data are expected from ongoing and near-future CMB Stage-III and IV surveys, which will yield reconstructed CMB lensing maps with effective resolution approaching several arcminutes.…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-09 Jia Liu , J. Colin Hill , Blake D. Sherwin , Andrea Petri , Vanessa Böhm , Zoltán Haiman
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