Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral Density of Complex Networks with a Finite Mean Degree   In order to clarify the statistical features of complex networks, the
spectral density of adjacency matrices has often been investigated. Adopting a
static model introduced by Goh, Kahng and Kim, we analyse the spectral density
of complex scale free networks. For that purpose, we utilize the replica method
and effective medium approximation (EMA) in statistical mechanics. As a result,
we identify a new integral equation which determines the asymptotic spectral
density of scale free networks with a finite mean degree $p$. In the limit $p
\to \infty$, known asymptotic formulae are rederived. Moreover, the $1/p$
corrections to known results are analytically calculated by a perturbative
method.

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The categories of this paper are: comp-gas
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The categories of this paper are: eess
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
2
The categories of this paper are: math
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The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat