Point field models for the galaxy point pattern : Modelling the singularity of the two-point correlation function
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Point field models for the galaxy point pattern : Modelling the singularity of the two-point correlation function

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Point field models for the galaxy point pattern : Modelling the singularity of the two-point correlation function

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Snethlage, M.; Martinez Garcia, Vicente; Stoyan, D.; Saar, E.
Aquest document és un/a article publicat, creat/da en: 2002
There is empirical evidence that the two-point correlation function of the galaxy distribution follows, for small scales, reasonably well a power-law expression ξ(r) / αr^−γ with γ between 1.5 and 1.9. Nevertheless, most of the point eld models suggested in the literature do not have this property. This paper presents a new class of models, which is produced by modifying point elds commonly used in cosmology to mimic the galaxy distribution, but where γ = 2 is too large. The points are independently and randomly shifted, leading to the desired reduction of the value of γ.

    SNETHLAGE, M. ; Martinez Garcia, Vicente ; Stoyan, D. ; Saar, E., 2002, Point field models for the galaxy point pattern : Modelling the singularity of the two-point correlation function, Astronomy and Astrophysics, vol. 388, no. 3, p. 758-765
http://www.aanda.org/index.php?option=article&access=standard&Itemid=129&url=/articles/aa/pdf/2002/24/aah3341.pdf
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