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We study statistical properties of two-dimensional turbulent flows. Three systems are considered: the Navier-Stokes equation, surface quasi-geostrophic flow, and a model equation for thermal convection in the Earth's mantle. Direct…

chao-dyn · Physics 2009-10-31 Norbert Schorghofer

We estimate how clustering in large-scale redshift surveys can constrain various cosmological parameters. Depth and sky coverage of modern redshift surveys are greater than ever, opening new possibilities for statistical analysis. We have…

Astrophysics · Physics 2009-11-07 Takahiko Matsubara , Alexander S. Szalay

The redshift-space distortion (RSD) in the observed distribution of galaxies is known as a powerful probe of cosmology. Observations of large-scale RSD have given tight constraints on the linear growth rate of the large-scale structures in…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-08 Motonari Tonegawa , Changbom Park , Yi Zheng , Hyunbae Park , Sungwook E. Hong , Ho Seong Hwang , Juhan Kim

We examine the cosmological information available from the 1-point probability distribution (PDF) of the weak-lensing convergence field, utilizing fast L-PICOLA simulations and a Fisher analysis. We find competitive constraints in the…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-20 Kenneth Patton , Jonathan Blazek , Klaus Honscheid , Eric Huff , Peter Melchior , Ashley J. Ross , Eric Suchyta

We introduce a novel two-step approach for estimating a probability density function (pdf) given its samples, with the second and important step coming from a geometric formulation. The procedure involves obtaining an initial estimate of…

Methodology · Statistics 2017-12-14 Sutanoy Dasgupta , Debdeep Pati , Anuj Srivastava

We study the complementarity between the cosmological information obtainable with the Planck surveyour and the large scale structure (LSS) redshift surveys in LambdaCHDM cosmologies. We compute the initial full phase-space neutrino…

Astrophysics · Physics 2009-11-06 L. A. Popa , C. Burigana , N. Mandolesi

Theoretical investigations into the deflection angle caused by microlenses offer a direct path to uncovering principles of the cosmological microlensing effect. This work specifically concentrates on the the probability density function…

Astrophysics of Galaxies · Physics 2023-08-30 Wenwen Zheng , Hou-Zun Chen , Xuechun Chen , Guoliang Li

We analyze different volume-limited samples extracted from the Southern Sky Redshift Survey (SSRS2), using counts-in-cells to compute the Count Probability Distribution Function (CPDF).From the CPDF we derive volume-averaged correlation…

Astrophysics · Physics 2007-05-23 C. Benoist , A. Cappi , L. N. da Costa , S. Maurogordato , F. R. Bouchet , R. Schaeffer

(Abridged) We present maps for various Galactic longitudes and latitudes at 1.4 GHz, which is the frequency where deep SKA surveys are proposed. The maps are about 1.5 deg in size and have an angular resolution of about 1.6 arcsec. We…

Astrophysics of Galaxies · Physics 2015-05-14 X. H. Sun , W. Reich

The probability density function (PDF) of a random variable associated with the solution of a partial differential equation (PDE) with random parameters is approximated using a truncated series expansion. The random PDE is solved using two…

Numerical Analysis · Mathematics 2021-01-25 Giacomo Capodaglio , Max Gunzburger , Henry P. Wynn

We improve strong lensing constraints on cosmological parameters in light of the new measurement of the velocity dispersion function of early-type galaxies based on the SDSS DR5 data and recent semi-analytical modeling of galaxy formation.…

Astrophysics · Physics 2009-11-11 Kyu-Hyun Chae

We present results of the investigations of the statistical properties of a joint density and velocity divergence probability distribution function (PDF) in the mildly non-linear regime. For that purpose we use both perturbation theory…

Astrophysics · Physics 2009-10-31 F. Bernardeau , M. J. Chodorowski , E. L. Lokas , R. Stompor , A. Kudlicki

Turbulence is essential for understanding the structure and dynamics of molecular clouds and star-forming regions. There is a need for adequate tools to describe and characterize the properties of turbulent flows. One-point probability…

Astrophysics · Physics 2008-11-26 Ralf S. Klessen

The coming generation of galaxy surveys will provide measurements of galaxy clustering with unprecedented accuracy and data size, which will allow us to test cosmological models at much higher precision than achievable previously. This…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-17 Cheng-Zong Ruan , Carolina Cuesta-Lazaro , Alexander Eggemeier , César Hernández-Aguayo , Carlton M. Baugh , Baojiu Li , Francisco Prada

A probability density function (pdf) encodes the entire stochastic knowledge about data distribution, where data may represent stochastic observations in robotics, transition state pairs in reinforcement learning or any other empirically…

Machine Learning · Computer Science 2018-09-18 Dmitry Kopitkov , Vadim Indelman

The need to analyze the available large synoptic multi-band surveys drives the development of new data-analysis methods. Photometric redshift estimation is one field of application where such new methods improved the results, substantially.…

Instrumentation and Methods for Astrophysics · Physics 2018-01-31 Antonio D'Isanto , Kai Lars Polsterer

Fusing probabilistic information is a fundamental task in signal and data processing with relevance to many fields of technology and science. In this work, we investigate the fusion of multiple probability density functions (pdfs) of a…

Signal Processing · Electrical Eng. & Systems 2023-01-20 Günther Koliander , Yousef El-Laham , Petar M. Djurić , Franz Hlawatsch

We study the probability distribution function (PDF) of relative velocity between two different dark matter halos (i.e. pairwise velocity) with a set of high-resolution cosmological $N$-body simulations. We investigate the pairwise velocity…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-17 Masato Shirasaki , Eric M. Huff , Katarina Markovic , Jason D. Rhodes

The late universe contains a wealth of information about fundamental physics and gravity, wrapped up in non-Gaussian fields. To make use of as much information as possible it is necessary to go beyond two-point statistics. Rather than going…

Cosmology and Nongalactic Astrophysics · Physics 2022-09-08 Alex Gough , Cora Uhlemann