Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Superlinear and sublinear urban scaling in geographical network model of
  the city   Using a geographical scale-free network to describe relations between people
in a city, we explain both superlinear and sublinear allometric scaling of
urban indicators that quantify activities or performances of the city. The
urban indicator $Y(N)$ of a city with the population size $N$ is analytically
calculated by summing up all individual activities produced by person-to-person
relationships. Our results show that the urban indicator scales superlinearly
with the population, namely, $Y(N)\propto N^{\beta}$ with $\beta>1$ if $Y(N)$
represents a creative productivity and the indicator scales sublinearly
($\beta<1$) if $Y(N)$ is related to the degree of infrastructure development.
These coincide with allometric scaling observed in real-world urban indicators.
We also show how the scaling exponent $\beta$ depends on the strength of the
geographical constraint in the network formation.

1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom