Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Total progeny in killed branching random walk   We consider a branching random walk for which the maximum position of a
particle in the n'th generation, M_n, has zero speed on the linear scale: M_n/n
--> 0 as n --> infinity. We further remove ("kill") any particle whose
displacement is negative, together with its entire descendence. The size $Z$ of
the set of un-killed particles is almost surely finite. In this paper, we
confirm a conjecture of Aldous that Exp[Z] < infinity while Exp[Z log
Z]=infinity. The proofs rely on precise large deviations estimates and ballot
theorem-style results for the sample paths of random walks.

36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci