Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large degrees in scale-free inhomogeneous random graphs   We consider a class of scale-free inhomogeneous random graphs, which includes
some long-range percolation models. We study the maximum degree in such graphs
in a growing observation window and show that its limiting distribution is
Frechet. We achieve this by proving convergence of the underlying point process
of the degrees to a certain Poisson process. Estimating the index of the
power-law tail for the typical degree distribution is an important question in
statistics. We prove consistency of the Hill estimator for the inverse of the
tail exponent of the typical degree distribution.

17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph