Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Percolation transition in the Bose gas II   In an earlier paper (J. Phys. A: Math. Gen. 26 (1993) 4689) we introduced the
notion of cycle percolation in the Bose gas and conjectured that it occurs if
and only if there is Bose-Einstein condensation. Here we give a complete proof
of this statement for the perfect and the imperfect (mean-field) Bose gas and
also show that in the condensate there is an infinite number of macroscopic
cycles.

26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph