Faà di Bruno Hopf Algebras, Dyson–Schwinger Equations, and Lie–Butcher Series
Editors
Kurusch Ebrahimi-Fard
Universidad Autónoma de Madrid, SpainFrédéric Fauvet
Université de Strasbourg, France
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pp. v–vi PrefaceKurusch Ebrahimi-FardFrédéric Fauvet
p. vii Contentspp. 1–8 ForewordJosé M. Gracia-Bondía
pp. 9–89 Pre-Lie algebras and systems of Dyson–Schwinger equationsLoïc Foissy
pp. 91–147 Five interpretations of Faà di Bruno’s formulaAlessandra FrabettiDominique Manchon
pp. 149–217 A Faà di Bruno Hopf algebra for analytic nonlinear feedback control systemsLuis A. Duffaut EspinosaW. Steven Gray
pp. 219–263 On algebraic structures of numerical integration on vector spaces and manifoldsAlexander LundervoldHans Z. Munthe-Kaas
pp. 265–353 Simple and contracting arborificationEmmanuel Vieillard-Baron
pp. 355–458 Strong QCD and Dyson–Schwinger equationsCraig D. Roberts