Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A hierarchical version of the de Finetti and Aldous-Hoover
  representations   We consider random arrays indexed by the leaves of an infinitary rooted tree
of finite depth, with the distribution invariant under the rearrangements that
preserve the tree structure. We call such arrays hierarchically exchangeable
and prove that they satisfy an analogue of de Finetti's theorem. We also prove
a more general result for arrays indexed by several trees, which includes a
hierarchical version of the Aldous-Hoover representation.

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The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ