Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of Travelling Waves on Exponentially Long Timescales in
  Stochastic Reaction-Diffusion Equations   In this paper we establish the meta-stability of travelling waves for a class
of reaction-diffusion equations forced by a multiplicative noise term. In
particular, we show that the phase-tracking technique developed in
[hamster2017,hamster2020] can be maintained over timescales that are
exponentially long with respect to the noise intensity. This is achieved by
combining the generic chaining principle with a mild version of the
Burkholder-Davis-Gundy inequality to establish logarithmic supremum bounds for
stochastic convolutions in the critical regularity regime.

35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph