Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of the Spin Glass Phase under Perturbations   We introduce and prove a novel linear response stability theory for spin
glasses. The new stability under suitable perturbation of the equilibrium state
implies the whole set of structural identities that characterize the spin glass
phase.

27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph