Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pair Correlations and Merger Bias   We study analytically the possibility that mergers of haloes are more highly
clustered than the general population of haloes of comparable masses. We begin
by investigating predictions for merger bias within the extended
Press-Schechter formalism and discuss the limitations and ambiguities of this
approach. We then postulate that mergers occur whenever two objects form within
a (small) fixed distance of each other. We therefore study the clustering of
pairs of points for a highly biased population in the linear regime, for the
overall mass distribution in the quasilinear regime, and (using the halo model
of clustering) in the nonlinear regime. Biasing, quasilinear evolution, and
nonlinear clustering all lead to nonzero reduced (or connected) three-point and
four-point correlation functions. These higher-order correlation functions can
in many cases enhance the clustering of close pairs of points relative to the
clustering of individual points. If close pairs are likely to merge, then the
clustering of mergers may be enhanced. We discuss implications for the observed
clustering of luminous z=3 galaxies and for correlations of active galactic
nuclei and galaxy clusters.

25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph