Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the accuracy of the normal approximation for the free energy in the
  REM   In the present paper we consider the fluctuations of the free energy in the
random energy model (REM) on a moderate deviation scale. We find that for high
temperatures the normal approximation holds only in a narrow range of scalings
away from the CLT. For scalings of higher order, probabilities of moderate
deviations decay faster than exponentially.

23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat