Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large deviations for the maximum of a branching random walk with
  stretched exponential tails   We prove large deviation results for the position of the rightmost particle,
denoted by $M_n$, in a one-dimensional branching random walk in a case when
Cram\'er's condition is not satisfied. More precisely we consider step size
distributions with stretched exponential upper and lower tails, i.e.~both tails
decay as $e^{-|t|^r}$ for some $r\in( 0,1)$. It is known that in this case,
$M_n$ grows as $n^{1/r}$ and in particular faster than linearly in $n$. Our
main result is a large deviation principle for the laws of $n^{-1/r}M_n$ . In
the proof we use a comparison with the maximum of (a random number of)
independent random walks, denoted by $\tilde M_n$, and we show a large
deviation principle for the laws of $n^{-1/r}\tilde M_n$ as well.

32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg