Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable regular critical points of the Mumford-Shah functional are local
  minimizers   In this paper it is shown that any regular critical point of the Mumford-Shah
functional, with positive definite second variation, is an isolated local
minimizer with respect to competitors which are sufficiently close in the
L^1-topology.

6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat