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Observational Constraints on Higher Order Clustering up to $zsimeq 1 | | István Szapudi
; Marc Postman
; Tod R. Lauer
; William Oegerle
; | | Date: |
8 Aug 2000 | | Subject: | astro-ph | | Affiliation: | CITA), Marc Postman (STScI), Tod R. Lauer (NOAO), and William Oegerle(Johns Hopkins | | Abstract: | Constraints on the validity of the hierarchical gravitational instability theory and the evolution of biasing are presented based upon measurements of higher order clustering statistics in the Deeprange Survey, a catalog of $sim710,000$ galaxies with $I_{AB} le 24$ derived from a KPNO 4m CCD imaging survey of a contiguous $4^{circ} imes 4^{circ}$ region. We compute the 3-point and 4-point angular correlation functions using a direct estimation for the former and the counts-in-cells technique for both. The skewness $s_3$ decreases by a factor of $simeq 3-4$ as galaxy magnitude increases over the range $17 le I le 22.5$ ($0.1 lesssim z lesssim 0.8$). This decrease is consistent with a small {it increase} of the bias with increasing redshift, but not by more than a factor of 2 for the highest redshifts probed. Our results are strongly inconsistent, at about the $3.5-4 sigma$ level, with typical cosmic string models in which the initial perturbations follow a non-Gaussian distribution - such models generally predict an opposite trend in the degree of bias as a function of redshift. We also find that the scaling relation between the 3-point and 4-point correlation functions remains approximately invariant over the above magnitude range. The simplest model that is consistent with these constraints is a universe in which an initially Gaussian perturbation spectrum evolves under the influence of gravity combined with a low level of bias between the matter and the galaxies that decreases slightly from $z sim 0.8$ to the current epoch. | | Source: | arXiv, astro-ph/0008131 | | Services: | Forum | Review | PDF | Favorites | |
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