Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence to equilibrium due to collisions with external particles   We consider a class of "most non ergodic" particle systems and prove that for
most of them ergodicity appears if only one particle of N has contact with
external world, that is this particle collides with external particles in
random time moments.

24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg