Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Greedy lattice paths with negative values   Let $\{X_{v}:v\in\mathbb{Z}^d\}$ be i.i.d. random variables. Let
$S(\pi)=\sum_{v\in\pi}X_v$ be the weight of a self-avoiding lattice path $\pi$.
Let $M_n=\max\{S(\pi):\pi\text{ has length }n\text{ and starts from the
origin}\}$. Under the two assumptions that $\exists\alpha>0$,
$E(X_v^{+})^d(\log^{+}X_v^{+})^{d+\alpha}$ and that $E[(X_v^{-})^4]<+\infty$,
we prove that there exists a finite real number $M$ such that $M_n/n$ converges
to $M$ a.s. and in $L^{1}$ as $n$ tends to infinity.

29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat