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For a given spatial distribution of the lenses and distribution of the transverse velocity of the lens relative to the line-of-sight, a probability distribution for the lens mass for a single observed event is derived. In addition, similar…

Astrophysics · Physics 2008-02-03 M. Dominik

The cosmic distance duality relation is a milestone of cosmology involving the luminosity and angular diameter distances. Any departure of the relation points to new physics or systematic errors in the observations, therefore tests of the…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-01 S. Santos-da-Costa , V. C. Busti , R. F. L. Holanda

We examine the integrated squared difference, also known as the L2 distance (L2D), between two probability densities. Such a distance metric allows for comparison of differences between pairs of distributions or changes in a distribution…

Methodology · Statistics 2019-06-03 George Shan , Mark J. van der Laan

Cold Dark Matter with a large cosmological constant (LambdaCDM) appears to fit large scale structure observations well. Of the possible small scale problems, the Central Cusps and Too Many Satellites problems now appear to be at least…

Astrophysics · Physics 2007-05-23 Joel R. Primack

Directed spiral percolation (DSP), percolation under both directional and rotational constraints, is studied on the triangular lattice in two dimensions (2D). The results are compared with that of the 2D square lattice. Clusters generated…

Disordered Systems and Neural Networks · Physics 2009-11-10 S. Sinha , S. B. Santra

Traditionally, the angular momentum of light is calculated for "bullet-like" electromagnetic wave packets, although in actual optical experiments "pencil-like" beams of light are more commonly used. The fact that a wave packet is bounded…

Optics · Physics 2014-03-14 Marco Ornigotti , Andrea Aiello

Precision measurement of small separations between two atoms or molecules has been of interest since the early days of science. Here, we discuss a scheme which yields spatial information on a system of two identical atoms placed in a…

Quantum Physics · Physics 2007-05-23 Jun-Tao Chang , Joerg Evers , Marlan O. Scully , M. Suhail Zubairy

The properties of spatial distribution of luminous matter are investigated analysing all the available three dimensional catalogues of galaxies. In standard view, galaxies are believed to have a fractal distribution at small scale with a…

Astrophysics · Physics 2016-08-30 M. Montuori , F. Sylos Labini , L. Pietronero

The angular correlation is a method for measuring the distribution of structure in the Universe, through the statistical properties of the angular distribution of galaxies on the sky. We measure the angular correlation of galaxies from the…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-20 Brandon Venville , David Parkinson , Natasha Hurley-Walker , Tim Galvin , Kathryn Ross

A better understanding of the formation of mass structures in the universe can be obtained by determining the amount and distribution of dark and luminous matter in spiral galaxies. To investigate such matters a sample of 12 galaxies, most…

Astrophysics of Galaxies · Physics 2015-06-23 Roelof Bottema , Jose Luis G. Pestana

The manner in which probability amplitudes of paths sum up to form wave functions of orbital angular momentum eigenstates is described. Using a generalization of stationary-phase analysis, distributions are derived that provide a measure of…

Quantum Physics · Physics 2025-12-04 Randall M. Feenstra

Dust is a ubiquitous component in our Galaxy. It accounts for only $1\%$ mass of the ISM but still is an essential part of the Galaxy. It affects our view of the Galaxy by obscuring the starlight at shorter wavelengths and re-emitting in…

Astrophysics of Galaxies · Physics 2023-11-17 Namita Uppal , Shashikiran Ganesh , Santosh Joshi , Mrinmoy Sarkar , Prachi Prajapati , Athul Dileep

We consider the set of points chosen randomly, independently and uniformly in the $d$-dimensional spherical layer. A set of points is called $1$-convex if all its points are vertices of the convex hull of this set. In \cite{3} an estimate…

Combinatorics · Mathematics 2018-06-14 Sergey Sidorov

Parallax is the most important astronomical method for determining the distances from the Earth to nearby stars. We present two hands-on activities that explore the concepts and practice of parallax measurement. The first activity is a…

Physics Education · Physics 2017-06-21 Markus Pössel

Galaxies are not uniformly distributed in space. On large scales the Universe displays coherent structure, with galaxies residing in groups and clusters on scales of ~1-3 Mpc/h, which lie at the intersections of long filaments of galaxies…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Alison L. Coil

We analyse the joint distribution of dust attenuation and projected axis ratios, together with galaxy size and surface brightness profile information, to infer lessons on the dust content and star/dust geometry within star-forming galaxies…

We present results of searching for the possible typical scales in the spatial distribution of QSOs. Our method is based on the second derivative of the two-point correlation function. This statistic is sensitive to the scale of the maximum…

Astrophysics · Physics 2009-10-22 Zugan Deng , Xiaoyang Xia , Li-Zhi Fang

We establish upper bounds for the size of two-distance sets in Euclidean space and spherical two-distance sets. The main recipe for obtaining upper bounds is the spectral method. We construct Seidel matrices to encode the distance relations…

Combinatorics · Mathematics 2025-09-03 Wei-Chun Chen , Wei-Hsuan Yu

Observations of density profiles of galaxies and clusters constrain the properties of dark matter. Formation of stable halos by collisional fluids with very low mass particles appears as the most probable interpretation, while halos formed…

General Physics · Physics 2011-04-14 Ernst Fischer

We present the first measurement of the angular correlation function in a $K$-selected galaxy survey, from two fields covering almost 10 square degrees. The angular correlation function at small angles is well described by a $\theta^{-0.8}$…

Astrophysics · Physics 2016-06-08 C. M. Baugh , J. P. Gardner , C. S. Frenk , R. M. Sharples