Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lattice path combinatorics and asymptotics of multiplicities of weights
  in tensor powers   We give asymptotic formulas for the multiplicities of weights and irreducible
summands in high-tensor powers $V_{\lambda}^{\otimes N}$ of an irreducible
representation $V_{\lambda}$ of a compact connected Lie group $G$. The weights
are allowed to depend on $N$, and we obtain several regimes of pointwise
asymptotics, ranging from a central limit region to a large deviations region.
We use a complex steepest descent method that applies to general asymptotic
counting problems for lattice paths with steps in a convex polytope.

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The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
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The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin