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We demonstrate an efficient method to compute the strong-gravitational-lensing deflection angle and magnification for any elliptical surface-density profile. This method solves a numerical hurdle in lens modelling that has lacked a general…

Cosmology and Nongalactic Astrophysics · Physics 2019-07-10 Anowar J. Shajib

We discuss the product of $M$ rectangular random matrices with independent Gaussian entries, which have several applications including wireless telecommunication and econophysics. For complex matrices an explicit expression for the joint…

Mathematical Physics · Physics 2013-11-13 Gernot Akemann , Jesper R. Ipsen , Mario Kieburg

Weak gravitational lensing surveys are rapidly becoming important tools to probe directly the mass density fluctuations in the universe and its background dynamics. Earlier studies have shown that it is possible to model the statistics of…

Astrophysics · Physics 2009-11-07 Patrick Valageas , Andrew J. Barber , Dipak Munshi

Gravitational lensing and stellar dynamics are two independent methods, based solely on gravity, to study the mass distributions of galaxies. Both methods suffer from degeneracies, however, that are difficult to break. In this paper, we…

Astrophysics · Physics 2011-04-05 Matteo Barnabe' , Leon V. E. Koopmans

From R-band images of 39 Hickson compact groups (HCGs), we use galaxy counts to determine a luminosity function extending to M_R=-14.0, approximately two magnitudes deeper than previous compact group luminosity functions. We find that a…

Astrophysics · Physics 2009-10-30 Sally D. Hunsberger , Jane C. Charlton , Dennis Zaritsky

We perform lens modelling and source reconstruction of Submillimeter Array (SMA) data for a sample of 12 strongly lensed galaxies selected at 500$\mu$m in the Herschel Astrophysical Terahertz Large Area Survey H-ATLAS. A previous analysis…

We detect a distant cluster of galaxies centered on the QSO lens and luminous X-ray source AXJ2019+112, a.k.a. ``The Dark Cluster'' (Hattori et al 1997). Using deep V,I Keck images and wide-field K_s imaging from the NTT, a tight red…

For a standard graded ring $R$ of dimension $\geq 2$ over a perfect field of characteristic $p>0$ and a homogeneous ideal $I$ of finite colength, the HK density function of $R$ with respect to $I$ is a compactly supported continuous…

Commutative Algebra · Mathematics 2022-11-08 Mandira Mondal

The X-ray luminosity function is an important statistic of the census of galaxy clusters and an important means to probe the cosmological model of our Universe. Based on our recently completed REFLEX II cluster sample we construct the X-ray…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 H. Böhringer , G. Chon , C. A. Collins

In a strong gravitational lensing system, the distorted light from a source is analysed to infer the properties of the lens. However, light emitted by the lens itself can contaminate the image of the source, introducing systematic errors in…

We address the question of how well the density profile of galaxy clusters can be determined by combining strong lensing and velocity dispersion data. We use cosmological dark matter simulations of clusters to test the reliability of the…

Astrophysics · Physics 2010-12-01 M. Meneghetti , M. Bartelmann , A. Jenkins , C. Frenk

We present the luminosity function of 90um selected galaxies from the European Large Area ISO Survey (ELAIS), extending to z=0.3. Their luminosities are in the range 10^9 < h_65^-2 L/Lsun < 10^12, i.e. non-ultraluminous. From our sample of…

This paper develops a density deconvolution estimator that assumes the density of interest is a member of the generalized skew-symmetric (GSS) family of distributions. Estimation occurs in two parts: a skewing function, as well as location…

Methodology · Statistics 2017-06-07 Cornelis J. Potgieter

Using generalized hypergeometric functions to perform symbolic manipulation of equations is of great importance to pure and applied scientists. There are in the literature a great number of identities for the Meijer-G function. On the other…

Classical Analysis and ODEs · Mathematics 2017-02-15 Arjun K. Rathie , L. C. S. M. Ozelim , P. N. Rathie

The observed properties of galaxies vary with inclination; for most applications we would rather have properties that are independent of inclination, intrinsic properties. One way to determine inclination corrections is to consider a large…

Astrophysics · Physics 2009-06-23 Ariyeh H. Maller , Andreas A. Berlind , Michael R. Blanton , David W. Hogg

Bivariate luminosity functions (LFs) are computed for galaxies in the New York Value-Added Galaxy Catalogue, based on the Sloan Digital Sky Survey Data Release 4. The galaxy properties investigated are the morphological type, inverse…

Astrophysics · Physics 2009-11-11 Nicholas M Ball , Jon Loveday , Robert J Brunner , Ivan K Baldry , Jon Brinkmann

Herschel has revolutionized our ability to measure column densities (N$_{\rm H}$) and temperatures (T) of molecular clouds thanks to its far infrared multiwavelength coverage. However, the lack of a well defined background intensity level…

Instrumentation and Methods for Astrophysics · Physics 2017-08-09 J. Abreu-Vicente , A. Stutz , Th. Henning , E. Keto , J. Ballesteros-Paredes , T. Robitaille

Semi-analytical models of galaxy formation can be used to predict the evolution of the number density of early-type galaxies as a function of the circular velocity at the virial radius, v_{c,vir}. Gravitational lensing probability and…

Astrophysics · Physics 2009-11-11 Kyu-Hyun Chae , Shude Mao , Xi Kang

In the last decade the detection of individual massive dark matter sub-halos has been possible using potential correction formalism in strong gravitational lens imaging. Here we propose a statistical formalism to relate strong gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2017-10-17 Saikat Chatterjee , Léon V. E. Koopmans

The shape of the surface brightness profile of dE galaxies, quantified by parameter n of Sersic's generalized profile law, has recently been put forward as new extragalactic distance indicator (Young & Currie 1994). Its application to the…

Astrophysics · Physics 2009-09-28 Bruno Binggeli , Helmut Jerjen