Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the analyticity of the Dirichlet-Neumann operator and Stokes waves   We prove an analyticity result for the Dirichlet-Neumann operator under space
periodic boundary conditions in any dimension in an unbounded domain with
infinite depth. We derive an analytic bifurcation result of analytic Stokes
waves -- i.e. space periodic traveling solutions -- of the water waves
equations in deep water.

8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
16
The categories of this paper are: stat
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph