Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cutoff phenomenon for the simple exclusion process on the complete graph   We study the time that the simple exclusion process on the complete graph
needs to reach equilibrium in terms of total variation distance. For the graph
with n vertices and 1<<k<n/2 particles we show that the mixing time is of order
(n/2)\log \min(k, \sqrt{n}), and that around this time, for any small positive
epsilon the total variation distance drops from 1-epsilon to epsilon in a time
window whose width is of order n (i.e. in a much shorter time). Our proof is
purely probabilistic and self-contained.

13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an