Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Martin boundary of a killed random walk on a quadrant   A complete representation of the Martin boundary of killed random walks on
the quadrant ${\mathbb{N}}^*\times{\mathbb{N}}^*$ is obtained. It is proved
that the corresponding full Martin compactification of the quadrant
${\mathbb{N}}^*\times{\mathbb{N}}^*$ is homeomorphic to the closure of the set
$\{w={z}/{(1+|z|)}:z\in{\mathbb{N}}^*\times{\mathbb{N}}^*\}$ in
${\mathbb{R}}^2$. The method is based on a ratio limit theorem for local
processes and large deviation techniques.

11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci