Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The first passage problem for stable linear delay equations perturbed by
  power law L\'evy noise   This article studies a linear scalar delay differential equation subject to
small multiplicative power tail L\'evy noise. We solve the first passage (the
Kramers) problem with probabilistic methods and discover an asymptotic loss of
memory in this non-Markovian system. Furthermore, the mean exit time increases
as the power of the small noise amplitude, whereas the pre-factor accounts for
memory effects. In particular, we discover a non-linear delay-induced exit
acceleration due to a non-normal growth phenomenon. Our results are illustrated
in the well-known linear delay oscillator driven by $\alpha$-stable L\'evy
flights.

13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio