Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exponential convergence to equilibrium in supercritical kinetically
  constrained models at high temperature   Kinetically constrained models (KCMs) were introduced by physicists to model
the liquid-glass transition. They are interacting particle systems on
$\mathbb{Z}^d$ in which each element of $\mathbb{Z}^d$ can be in state 0 or 1
and tries to update its state to 0 at rate $q$ and to 1 at rate $1-q$, provided
that a constraint is satisfied. In this article, we prove the first
non-perturbative result of convergence to equilibrium for KCMs with general
constraints: for any KCM in the class termed "supercritical" in dimension 1 and
2, when the initial configuration has product $\mathrm{Bernoulli}(1-q')$ law
with $q' \neq q$, the dynamics converges to equilibrium with exponential speed
when $q$ is close enough to 1, which corresponds to the high temperature
regime.

13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas