Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sample-path large deviations for a class of heavy-tailed Markov additive
  processes   For a class of additive processes driven by the affine recursion $X_{n+1} =
A_n X_n + B_n$, we develop a sample-path large deviations principle in the
$M_1'$ topology on $D [0,1]$. We allow $B_n$ to have both signs and focus on
the case where Kesten's condition holds on $A_1$, leading to heavy-tailed
distributions. The most likely paths in our large deviations results are step
functions with both positive and negative jumps.

11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int