BooksirmaCollected Volume

Faà di Bruno Hopf Algebras, Dyson–Schwinger Equations, and Lie–Butcher Series

Editors

Kurusch Ebrahimi-Fard
Universidad Autónoma de Madrid, Spain
Frédéric Fauvet
Université de Strasbourg, France

Faà di Bruno Hopf Algebras, Dyson–Schwinger Equations, and Lie–Butcher Series cover

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pp. 1–8
Foreword
José M. Gracia-Bondía
pp. 9–89
Pre-Lie algebras and systems of Dyson–Schwinger equations
Loïc Foissy
pp. 91–147
Five interpretations of Faà di Bruno’s formula
Alessandra FrabettiDominique Manchon
pp. 149–217
A Faà di Bruno Hopf algebra for analytic nonlinear feedback control systems
Luis A. Duffaut EspinosaW. Steven Gray
pp. 219–263
On algebraic structures of numerical integration on vector spaces and manifolds
Alexander LundervoldHans Z. Munthe-Kaas
pp. 265–353
Simple and contracting arborification
Emmanuel Vieillard-Baron
pp. 355–458
Strong QCD and Dyson–Schwinger equations
Craig D. Roberts