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The luminosity functions of galaxies and quasars provide invaluable information about galaxy and quasar formation. Estimating the luminosity function from magnitude limited samples is relatively straightforward, provided that the distances…

Astrophysics · Physics 2008-11-26 Ravi K. Sheth

The determination of the galaxy luminosity function is an active and fundamental field in observational cosmology. In this paper we propose a cost effective way of measuring galaxy luminosity functions at faint magnitudes. Our technique…

Astrophysics · Physics 2009-10-28 M. U. SubbaRao , A. J. Connolly , A. S. Szalay , D. C. Koo

The stellar luminosity function derived from the sample of stars within 5.2--20~pc is the nearby luminosity function. The luminosity function obtained from deep low spatial resolution surveys to distances of typically 100--200~pc is the…

Astrophysics · Physics 2009-10-28 Pavel Kroupa

The luminosity function of galaxies of the Early Data Release of the Sloan Digital Sky Survey (SDSS) and the Las Campanas Redshift Survey (LCRS) is calculated. The luminosity function depends on redshift, density of the environment and is…

Astrophysics · Physics 2010-10-28 G. Hütsi , J. Einasto , D. L. Tucker , E. Saar , M. Einasto , V. Müller , P. Heinämäki , S. S. Allam

Computing the distance function to some surface or line is a problem that occurs very frequently. There are several ways of computing a relevant approximation of this function, using for example technique originating from the approximation…

Numerical Analysis · Mathematics 2022-12-02 Rémi Abgrall

Recent cosmological observations indicate that the present universe is flat and dark energy dominated. In such a universe, the calculation of the luminosity distance, d_L, involve repeated numerical calculations. In this paper, it is shown…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 T. Wickramasinghe , T. N. Ukwatta

A new luminosity function for galaxies can be built starting from the product of two random variables X and Y represented by a gamma variate with argument 2 >. The mean, the standard deviation and the distribution function of this new…

Astrophysics · Physics 2009-06-30 L. Zaninetti

We present the correlation function of the luminosity distances in a flat $\Lambda$CDM universe. Decomposing the luminosity distance fluctuation into the velocity, the gravitational potential, and the lensing contributions, we study their…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-20 Sang Gyu Biern , Jaiyul Yoo

The search for a luminosity function for galaxies both alternative or companion to a Schechter function is a key problem in the reduction of data from catalogs of galaxies. Two luminosity functions for galaxies can be built starting from…

Astrophysics · Physics 2011-09-20 Lorenzo Zaninetti

We present an analytical approximation formula for the luminosity distance in spatially flat cosmologies with dust and a cosmological constant. Apart from the overall factor, the effect of non-zero cosmological constant in our formula is…

Cosmology and Nongalactic Astrophysics · Physics 2012-02-03 Masaru Adachi , Masumi Kasai

We propose an efficient analytical method for estimating the luminosity distance in a homogenous Friedmann-Lema\^itre-Robertson-Walker (FLRW) model of the Universe. This method is based on the homotopy perturbation method (HPM), which has…

General Relativity and Quantum Cosmology · Physics 2017-05-29 V. K. Shchigolev

We show that the dipole of the luminosity distance is a useful observational tool which allows us to determine the Hubble parameter as a function of the redshift H(z). We determine the number of supernovae needed to achieve a given…

Astrophysics · Physics 2007-05-23 Camille Bonvin , Ruth Durrer , Martin Kunz

We propose two efficient numerical methods of evaluating the luminosity distance in the spatially flat {\Lambda}CDM universe. The first method is based on the Carlson symmetric form of elliptic integrals, which is highly accurate and can…

Instrumentation and Methods for Astrophysics · Physics 2011-04-15 De-Zi Liu , Cong Ma , Tong-Jie Zhang , Zhi-Liang Yang

We extend existing methods for using cross-correlations to derive redshift distributions for photometric galaxies, without using photometric redshifts. The model presented in this paper simultaneously yields highly accurate and unbiased…

Cosmology and Nongalactic Astrophysics · Physics 2018-03-07 Marcel P. van Daalen , Martin White

We present a method for obtaining the likelihood function of distance and extinction to a star given its photometry. The other properties of the star (its mass, age, metallicity and so on) are marginalised assuming a simple Galaxy model. We…

Astrophysics of Galaxies · Physics 2015-06-23 S. E. Sale , J. Magorrian

We have developed a Monte Carlo method to compute the luminosity function of galaxies, based on photometric redshifts, which takes into account the non-gaussianity of the probability functions, and the presence of degenerate solutions in…

Astrophysics · Physics 2009-11-07 Micol Bolzonella , Roser Pello' , Dario Maccagni

The observational limitations of astronomical surveys lead to significant statistical inference challenges. One such challenge is the estimation of luminosity functions given redshift $z$ and absolute magnitude $M$ measurements from an…

Astrophysics · Physics 2011-02-11 Chad M. Schafer

We derive an expression for the luminosity distance as a function of redshift for a flat Robertson-Walker spacetime perturbed by arbitrary scalar perturbations possibly produced by a modified gravity theory with two different scalar…

Astrophysics · Physics 2009-03-12 Éanna É. Flanagan , Eran Rosenthal , Ira M. Wasserman

We study cosmic variance in deep high redshift surveys and its influence on the determination of the luminosity function for high redshift galaxies. For several survey geometries relevant for HST and JWST instruments, we characterize the…

Astrophysics · Physics 2020-07-28 M. Trenti , M. Stiavelli
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