Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Incipient infinite cluster in 2D Ising percolation   We consider the percolation problem in the high-temperature Ising model on
the two-dimensional square lattice at or near critical external fields. The
incipient infinite cluster (IIC) measure in the sense of Kesten is constructed.
As a consequence, we can obtain some geometric properties of IIC. The result
holds also for the triangular lattice.

10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph