Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linearization of the box-ball system: an elementary approach   Kuniba, Okado, Takagi and Yamada have found that the time-evolution of the
Takahashi-Satsuma box-ball system can be linearized by considering rigged
configurations associated with states of the box-ball system. We introduce a
simple way to understand the rigged configuration of $\mathfrak{sl}_2$-type,
and give an elementary proof of the linearization property. Our approach can be
applied to a box-ball system with finite carrier, which is related to a
discrete modified KdV equation, and also to the combinatorial $R$-matrix of
$A_1^{(1)}$-type. We also discuss combinatorial statistics and related
fermionic formulas associated with the states of the box-ball systems. A
fermionic-type formula we obtain for the finite carrier case seems to be new.

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The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs