Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fractal dimension and threshold properties in a spatially correlated
  percolation model   We consider the effects of spatial correlations in a two-dimensional site
percolation model. By generalizing the Newman-Ziff Monte Carlo algorithm to
include spatial correlations, percolation thresholds and fractal dimensions of
percolation clusters are obtained. For a wide range of spatial correlations,
the percolation threshold differs little from the uncorrelated result. In
contrast, the fractal dimension differs sharply from the uncorrelated result
for almost all types of correlation studied. We interpret these results in the
framework of long-range correlated percolation.

26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph