Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Random knots in three-dimensional three-colour percolation: numerical
  results and conjectures   Three-dimensional three-colour percolation on a lattice made of tetrahedra is
a direct generalization of two-dimensional two-colour percolation on the
triangular lattice. The interfaces between one-colour clusters are made of
bicolour surfaces and tricolour non-intersecting and non-self-intersecting
curves. Because of the three-dimensional space, these curves describe knots and
links. The present paper presents a construction of such random knots using
particular boundary conditions and a numerical study of some invariants of the
knots. The results are sources of precise conjectures about the limit law of
the Alexander polynomial of the random knots.

15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys