Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Primer on Resurgent Transseries and Their Asymptotics   The computation of observables in general interacting theories, be them
quantum mechanical, field, gauge or string theories, is a non-trivial problem
which in many cases can only be addressed by resorting to perturbative methods.
In most physically interesting problems these perturbative expansions result in
asymptotic series with zero radius of convergence. These asymptotic series then
require the use of resurgence and transseries in order for the associated
observables to become nonperturbatively well-defined. Resurgence encodes the
complete large-order asymptotic behaviour of the coefficients from a
perturbative expansion, generically in terms of (multi) instanton sectors and
for each problem in terms of its Stokes constants. Some observables arise from
linear problems, and have a finite number of instanton sectors and associated
Stokes constants; some other observables arise from nonlinear problems, and
have an infinite number of instanton sectors and Stokes constants. By means of
two very explicit examples, and with emphasis on a pedagogical style of
presentation, this work aims at serving as a primer on the aforementioned
resurgent, large-order asymptotics of general perturbative expansions. This
includes discussions of transseries, Stokes phenomena, generalized
steepest-descent methods, Borel transforms, nonlinear resonance, and alien
calculus. Furthermore, resurgent properties of transseries---usually described
mathematically via alien calculus---are recast in equivalent physical
languages: either a "statistical mechanical" language, as motions in chains and
lattices; or a "conformal field theoretical" language, with underlying
Virasoro-like algebraic structures.

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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: cs
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: acc-phys