Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dependence of the bright end of galaxy luminosity function on cluster
  dynamical state   Luminosity function of cluster galaxies provides a fundamental constraint on
galaxy evolution in cluster environments. By using the bright member galaxies
of a large sample of rich clusters identified from Sloan Digital Sky Survey, we
obtain the bright end of composite luminosity functions of cluster galaxies,
and study their dependence on cluster dynamical state. After a
redshift-evolution correction of absolute magnitude, the luminosity function of
member galaxies can be well fitted by a Schechter function when the brightest
cluster galaxies (BCGs) are excluded. The absolute magnitudes of BCGs follow a
Gaussian function with a characteristic width of about 0.36 mag. We find that
the luminosity function of galaxies in more relaxed clusters has a fainter
characteristic absolute magnitude (M_{\ast}), and these clusters have fewer
bright non-BCG member galaxies but a brighter BCG. Our results suggest the
co-evolution of galaxy population with cluster dynamical state and somewhat
support the hierarchical formation scenario of the BCGs.

36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg