Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hierarchical exchangeability of pure states in mean field spin glass
  models   The main result in this paper is motivated by the M\'ezard-Parisi ansatz
which predicts a very special structure for the distribution of spins in
diluted mean field spin glass models, such as the random K-sat model. Using the
fact that one can safely assume the validity of the Ghirlanda-Guerra identities
in these models, we prove hierarchical exchangeability of pure states for the
asymptotic Gibbs measures, which allows us to apply a representation result for
hierarchically exchangeable arrays recently proved in arXiv:1301.1259.
Comparing this representation with the predictions of the M\'ezard-Parisi
ansatz, one can see that the key property still missing is that the
multi-overlaps between pure states depend only on their overlaps.

20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom