Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $\alpha$-divergence derived as the generalized rate function in a
  power-law system   The generalized binomial distribution in Tsallis statistics (power-law
system) is explicitly formulated from the precise $q$-Stirling's formula. The
$\alpha $-divergence (or $q$-divergence) is uniquely derived from the
generalized binomial distribution in the sense that when $\alpha\rightarrow-1$
(i.e., $q\rightarrow1$) it recovers KL divergence obtained from the standard
binomial distribution. Based on these combinatorial considerations, it is shown
that $\alpha$-divergence (or $q$-divergence) is appeared as the generalized
rate function in the large deviation estimate in Tsallis statistics.

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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
9
The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn