Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On thin local sets of the Gaussian free field   We study how small a local set of the continuum Gaussian free field (GFF) in
dimension $d$ has to be to ensure that this set is thin, which loosely speaking
means that it captures no GFF mass on itself, in other words, that the field
restricted to it is zero. We provide a criterion on the size of the local set
for this to happen, and on the other hand, we show that this criterion is sharp
by constructing small local sets that are not thin.

17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph