Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tilt stability, uniform quadratic growth, and strong metric regularity
  of the subdifferential   We prove that uniform second order growth, tilt stability, and strong metric
regularity of the limiting subdifferential --- three notions that have appeared
in entirely different settings --- are all essentially equivalent for any
lower-semicontinuous, extended-real-valued function.

35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an