Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectrum of the totally asymmetric simple exclusion process on a
  periodic lattice -- first excited states   We consider the spectrum of the totally asymmetric simple exclusion process
on a periodic lattice of $L$ sites. The first eigenstates have an eigenvalue
with real part scaling as $L^{-3/2}$ for large $L$ with finite density of
particles. Bethe ansatz shows that these eigenstates are characterized by four
finite sets of positive half-integers, or equivalently by two integer
partitions. Each corresponding eigenvalue is found to be equal to the value at
its saddle point of a function indexed by the four sets. Our derivation of the
large $L$ asymptotics relies on a version of the Euler-Maclaurin formula with
square root singularities at both ends of the summation range.

23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas