Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sampling from naturally truncated power laws: The matchmaking paradox   Consider a network of M >> 1 nodes connected by N >> 1 links, in which the
distribution of the number of links per node follows a power law with exponent
0<\alpha <1. The power law is naturally truncated due to the fact that N is
finite. A subset of m << M nodes is sampled arbitrarily, yielding the sample
mean \eta : The average number of links per node, within the sampled subset. We
explore the statistics of the sample mean \eta and show that its fluctuations
around the population mean \nu =N/M are extremely broad and strongly skewed --
yielding typical values which are systematically and significantly smaller than
the population mean \nu. Applying these results to the case of bipartite
networks, we show that the sample means of the two parts of these networks
generally differ -- the fact we call "matchmaking paradox" in the title.

1
The categories of this paper are: cs
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph