Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ecalle's paralogarithmic resurgence monomials and effective synthesis   Paralogarithms constitute a family of special functions, which are some
generalizations of hyperlogarithms. They have been introduced by Jean Ecalle in
the context of the classification of complex analytic dynamical systems with
irregular singularities, to solve the so-called "synthesis problem" in an
effective and very general way. We describe the formalism of resurgence
monomials, introduce the paralogarithmic family and present the effective
synthesis with paralogarithmic monomials, of analytic vector fields having a
saddle-node singularity, following Ecalle.

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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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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: hep-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph