Book SeriesirmaCollected 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. v–vi
Preface
Kurusch Ebrahimi-FardFrédéric Fauvet
p. vii
Contents
pp. 1–8
Foreword
José M. Gracia-Bondía
DOI 10.4171/143-1/1
pp. 9–89
Pre-Lie algebras and systems of Dyson–Schwinger equations
Loïc Foissy
DOI 10.4171/143-1/2
pp. 91–147
Five interpretations of Faà di Bruno’s formula
Alessandra FrabettiDominique Manchon
DOI 10.4171/143-1/3
pp. 149–217
A Faà di Bruno Hopf algebra for analytic nonlinear feedback control systems
Luis A. Duffaut EspinosaW. Steven Gray
DOI 10.4171/143-1/4
pp. 219–263
On algebraic structures of numerical integration on vector spaces and manifolds
Alexander LundervoldHans Z. Munthe-Kaas
DOI 10.4171/143-1/5
pp. 265–353
Simple and contracting arborification
Emmanuel Vieillard-Baron
DOI 10.4171/143-1/6
pp. 355–458
Strong QCD and Dyson–Schwinger equations
Craig D. Roberts
DOI 10.4171/143-1/7