Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modeling Urban Growth Patterns with Correlated Percolation   We propose and test a model that describes the morphology of cities, the
scaling of the urban perimeter of individual cities, and the area distribution
of systems of cities. The model is also consistent with observable urban growth
dynamics, our results agreeing both qualitatively and quantitatively with urban
data. The resulting growth morphology can be understood from interactions among
the constituent units forming an urban region, and can be modeled using a
correlated percolation model in the presence of a gradient.

9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ