Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical probability of percolation over bounded region in N-dimensional
  Euclidean space   Following H. Tomita and C. Murakami we propose an analytical model to predict
critical probability of percolation. It is based on the excursion set theory
which allows us to consider N-dimensional bounded regions. Details are given
for the 3D case and statistically Representative Volume Elements are
calculated. Finally generalisation to the N-dimensional case is made.

13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio