Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discrete harmonic functions in Lipschitz domains   We prove the existence and uniqueness of a discrete nonnegative harmonic
function for a random walk satisfying finite range, centering and ellipticity
conditions, killed when leaving a globally Lipschitz domain in $\mathbb{Z}^d$.
Our method is based on a systematic use of comparison arguments and discrete
potential-theoretical techniques.

34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol