Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On differentiability of the Parisi formula   It was proved by Michel Talagrand in [10] that the Parisi formula for the
free energy in the Sherrington-Kirkpatrick model is differentiable with respect
to inverse temperature parameter. We present a simpler proof of this result by
using approximate solutions in the Parisi formula and give one example of
application of the differentiability to prove non self-averaging of the overlap
outside of the replica symmetric region.

20
The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
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The categories of this paper are: econ