Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lower bounds for volumes of nodal sets: an improvement of a result of
  Sogge-Zelditch   We use the Dong-Sogge-Zelditch formula to obtain a lower bound for the volume
of the nodal sets of eigenfunctions. Our result improves the recent results of
Sogge-Zelditch and in dimensions n \leq 5 gives a new proof for the lower
bounds of Colding-Minicozzi.

5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas