Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The combinatorics of Bogoliubov's recursion in renormalization   We describe various combinatorial aspects of the Birkhoff-Connes-Kreimer
factorization in perturbative renormalisation. The analog of Bogoliubov's
preparation map on the Lie algebra of Feynman graphs is identified with the
pre-Lie Magnus expansion. Our results apply to any connected filtered Hopf
algebra, based on the pro-nilpotency of the Lie algebra of infinitesimal
characters.

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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: q-alg
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The categories of this paper are: cs