Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Branching random walk with infinite progeny mean: a tale of two tails   We study the extremes of branching random walks under the assumption that the
underlying Galton-Watson tree has infinite progeny mean. It is assumed that the
displacements are either regularly varying or they have lighter tails. In the
regularly varying case, it is shown that the point process sequence of
normalized extremes converges to a Poisson random measure. In the
lighter-tailed case, we study the asymptotics of the scaled position of the
rightmost particle in the $n$-th generation and show the existence of a
non-trivial constant.

23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con