Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Points on nodal lines with given direction   We study of the directional distribution function of nodal lines for
eigenfunctions of the Laplacian on a planar domain. This quantity counts the
number of points where the normal to the nodal line points in a given
direction. We give upper bounds for the flat torus, and compute the expected
number for arithmetic random waves.

12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc