Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some remarks on critical sets of Laplace eigenfunctions   We study the set of critical points of a solution to $\Delta u = \lambda
\cdot u$ and in particular components of the critical set that have codimension
1. We show, for example, that if a second Neumann eigenfunction of a simply
connected polygon $P$ has infinitely many critical points, then $P$ is a
rectangle.

17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs