EDP Sciences Journals List
Advanced Search
Subscriber Authentication Point
Home All issues Volume 388/3 Article
Free access article

Issue A&A
Volume 388, Number 3, June IV 2002
Page(s) 758 - 765
Section Cosmology
DOI http://dx.doi.org/10.1051/0004-6361:20020551



A&A 388, 758-765 (2002)
DOI: 10.1051/0004-6361:20020551

Point field models for the galaxy point pattern

Modelling the singularity of the two-point correlation function
M. Snethlage1, V. J. Martínez2, D. Stoyan3 and E. Saar4

1  Mathematical Department, Silesian University at Opava, Bezrucovo nám. 13, 74601 Opava 1, Czech Republik
    e-mail: Martin.Snethlage@math.slu.cz
2  Observatori Astrònomic, Universitat de València, 46100 Burjassot, Spain
3  Institut für Stochastik, TU Bergakademie Freiberg, Bernhard-von-Cotta-Str. 2, 09596 Freiberg, Germany
    e-mail: stoyan@orion.hrz.tu-freiberg.de
4  Tartu Observatory, Tõravere, 61602, Estonia
    e-mail: saar@aai.ee

(Received 7 December 2001 / Accepted 8 April 2002)

Abstract
There is empirical evidence that the two-point correlation function of the galaxy distribution follows, for small scales, reasonably well a power-law expression $\xi(r)\propto r^{-\gamma}$ with $\gamma$ between 1.5 and 1.9. Nevertheless, most of the point field models suggested in the literature do not have this property. This paper presents a new class of models, which is produced by modifying point fields commonly used in cosmology to mimic the galaxy distribution, but where $\gamma=2$ is too large. The points are independently and randomly shifted, leading to the desired reduction of the value of $\gamma$.


Key words: galaxies: statistics -- large-scale structure of universe -- methods: statistical

Offprint request: V. J. Martínez, Vicent.Martinez@uv.es




© ESO 2002


What is OpenURL?

The OpenURL standard is a protocol for transmission of metadata describing the resource that you wish to access. An OpenURL link contains article metadata and directs it to the OpenURL server of your choice. The OpenURL server can provide access to the resource and also offer complementary services (specific search engine, export of references...). The OpenURL link can be generated by different means.
  • If your librarian has set up your subscription with an OpenURL resolver, OpenURL links appear automatically on the abstract pages.
  • You can define your own OpenURL resolver with your EDPS Account. In this case your choice will be given priority over that of your library.
  • You can use an add-on for your browser (Firefox or I.E.) to display OpenURL links on a page (see http://www.openly.com/openurlref/). You should disable this module if you wish to use the OpenURL server that you or your library have defined.