Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A deletion-invariance property for random measures satisfying the
  Ghirlanda-Guerra identities   We show that if a discrete random measure on the unit ball of a separable
Hilbert space satisfies the Ghirlanda-Guerra identities then by randomly
deleting half of the points and renormalizing the weights of the remaining
points we obtain the same random measure in distribution up to rotations.

1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat