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This paper investigates probability density functions (PDFs) that are continuous everywhere, nearly uniform around the mode of distribution, and adaptable to a variety of distribution shapes ranging from bell-shaped to rectangular. From the…

Machine Learning · Computer Science 2022-04-01 Osamu Fujita

A method is developed to compute the chord length distribution along a line which intersects a cellular Universe. The cellular Universe is here modeled by the Poissonian Voronoi Tessellation (PVT) and by a non-Poissonian Voronoi…

Cosmology and Nongalactic Astrophysics · Physics 2013-03-26 L. Zaninetti

We study the possibility of using the entire probability distribution function (PDF) of the aperture mass Map and its related cumulative probability distribution function (CPDF) to obtain meaningful constraints on cosmological parameters.…

Astrophysics · Physics 2007-05-23 Dipak Munshi , Patrick Valageas

We conduct numerical experiments to determine the density probability distribution function (PDF) produced in supersonic, isothermal, self-gravitating turbulence of the sort that is ubiquitous in star-forming molecular clouds. Our…

Astrophysics of Galaxies · Physics 2021-08-10 Shivan Khullar , Christoph Federrath , Mark R. Krumholz , Christopher D. Matzner

We introduce new efficient integral representations and methods for evaluation of pdfs, cpds and quantiles of stable distributions. For wide regions in the parameter space, absolute errors of order $10^{-15}$ can be achieved in 0.005-0.1…

Numerical Analysis · Mathematics 2018-08-14 Svetlana Boyarchenko , Sergei Levendorskiĭ

We examine the coarse-grained phase-space density profiles of a set of recent, high-resolution simulations of galaxy-sized Cold Dark Matter (CDM) halos. Over two and a half decades in radius the phase-space density closely follows a…

Astrophysics · Physics 2009-11-06 James E. Taylor , Julio F. Navarro

Dynamical models are used to study dark matter (DM) in galaxies, how galaxies assemble through mergers, and to test galaxy formation models. Despite its widespread use, there has been no systematic study quantifying how much information can…

Astrophysics of Galaxies · Physics 2025-11-14 Paula Gherghinescu , Eugene Vasiliev , Payel Das , Justin Read

We present a new method for emulating the halo mass function (HMF) and other distribution functions in large effective volumes, down to low halo masses, whilst simultaneously modifying large ranges of parameters, for a fraction of the cost…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-21 Christopher C. Lovell , Max E. Lee , William J. Roper , Daniel Anglés-Alcázar , Shy Genel , Shivam Pandey , Francisco Villaescusa-Navarro

We review the analysis of the Cosmic Web by means of an extensive toolset based on the use of Delaunay and Voronoi tessellations. The Cosmic Web is the salient and pervasive foamlike pattern in which matter has organized itself on scales of…

Instrumentation and Methods for Astrophysics · Physics 2009-12-18 Rien van de Weygaert , Miguel A. Aragon-Calvo , Bernard J. T. Jones , Erwin Platen

In this work we propose an efficient and accurate multi-scale optical simulation algorithm by applying a numerical version of slowly varying envelope approximation in FEM. Specifically, we employ the fast iterative method to quickly compute…

Optics · Physics 2024-12-03 Fan Xiao , Jingwei Wang , Zhongfei Xiong , Yuntian Chen

We conduct the cosmological analysis by using the lens-redshift distribution test with updated galaxy-scale strong lensing sample, where the considered scenarios involve three typical cosmological models (i.e., $\Lambda$CDM, $\omega$CDM and…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-01 Hui Li , Yun Chen

In this work, we present a novel centroiding method based on Fourier space Phase Fitting(FPF) for Point Spread Function(PSF) reconstruction. We generate two sets of simulations to test our method. The first set is generated by GalSim with…

Instrumentation and Methods for Astrophysics · Physics 2021-07-12 Tianhuan Lu , Wentao Luo , Jun Zhang , Jiajun Zhang , Hekun Li , Fuyu Dong , Yingke Li , Dezi Liu , Liping Fu , Guoliang Li , Zuhui Fan

To understand the nature of the accelerated expansion of the Universe, we need to combine constraints on the expansion rate and growth of structure. The growth rate is usually extracted from three dimensional galaxy maps by exploiting the…

Cosmology and Nongalactic Astrophysics · Physics 2020-08-12 Carolina Cuesta-Lazaro , Baojiu Li , Alexander Eggemeier , Pauline Zarrouk , Carlton M. Baugh , Takahiro Nishimichi , Masahiro Takada

The gravitational potentials of realistic galaxy models are in general non-integrable, in the sense that they admit orbits that do not have three independent isolating integrals of motion and are therefore chaotic. However, if chaotic…

Astrophysics of Galaxies · Physics 2021-09-29 R. Pascale , C. Nipoti , L. Ciotti

We have developed a new method for determining the corotation radii of density waves in disk galaxies, which makes use of the radial distribution of an azimuthal phase shift between the potential and density wave patterns. The approach…

Astrophysics · Physics 2008-11-26 Xiaolei Zhang , Ronald J. Buta

We investigate the distribution of central velocity dispersions for quiescent galaxies in the SDSS at $0.03 \leq z \leq 0.10$. To construct the field velocity dispersion function (VDF), we construct a velocity dispersion complete sample of…

Astrophysics of Galaxies · Physics 2017-08-23 Jubee Sohn , H. Jabran Zahid , Margaret J. Geller

The NASA Magnetospheric Multiscale mission has made in situ diffusion region and kinetic-scale resolution measurements of asymmetric magnetic reconnection for the first time, in the Earth's magnetopause. The principal theoretical tool…

Plasma Physics · Physics 2017-09-11 O. Allanson , F. Wilson , T. Neukirch , Y. -H. Liu , J. D. B. Hodgson

The computation of the parton distribution functions (PDF) or distribution amplitudes (DA) of hadrons from first principles lattice QCD constitutes a central open problem. In this study, we present and evaluate the efficiency of a selection…

High Energy Physics - Lattice · Physics 2019-05-01 Joseph Karpie , Kostas Orginos , Alexander Rothkopf , Savvas Zafeiropoulos

Recently, hybrid bias expansions have emerged as a powerful approach to modelling the way in which galaxies are distributed in the Universe. Similarly, field-level emulators have recently become possible thanks to advances in machine…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-15 Marcos Pellejero Ibanez , Raul E. Angulo , Drew Jamieson , Yin Li

Parton distribution functions (PDFs) at large $x$ are poorly constrained by high-energy experimental data, but extremely important for probing physics beyond standard model at colliders. We study the calculation of PDFs at large-$x$ through…

High Energy Physics - Phenomenology · Physics 2025-08-05 Xiangdong Ji , Yizhuang Liu , Yushan Su