Faà di Bruno Hopf Algebras, Dyson–Schwinger Equations, and Lie–Butcher Series
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Published By European Mathematical Society Publishing House

9783037191439

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A Faà di Bruno Hopf algebra for analytic nonlinear feedback control systems

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

10.4171/143-1/4 ◽

2015 ◽

pp. 149-217 ◽

Author(s):

W. Steven Gray ◽

Luis Duffaut Espinosa

Keyword(s):

Feedback Control ◽

Hopf Algebra ◽

Control Systems ◽

Nonlinear Feedback Control ◽

Nonlinear Feedback ◽

Feedback Control Systems

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Foreword

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

10.4171/143-1/1 ◽

2015 ◽

pp. 1-8

Author(s):

José Gracia-Bondía

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On algebraic structures of numerical integration on vector spaces and manifolds

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

10.4171/143-1/5 ◽

2015 ◽

pp. 219-263 ◽

Author(s):

Alexander Lundervold ◽

Hans Munthe-Kaas

Keyword(s):

Numerical Integration ◽

Vector Spaces ◽

Algebraic Structures

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Five interpretations of Faà di Bruno’s formula

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

10.4171/143-1/3 ◽

2015 ◽

pp. 91-147 ◽

Author(s):

Alessandra Frabetti ◽

Dominique Manchon

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Strong QCD and Dyson–Schwinger equations

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

10.4171/143-1/7 ◽

2015 ◽

pp. 355-458 ◽

Author(s):

Craig Roberts

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Simple and contracting arborification

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

10.4171/143-1/6 ◽

2015 ◽

pp. 265-353

Author(s):

Emmanuel Vieillard-Baron

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Pre-Lie algebras and systems of Dyson–Schwinger equations

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

10.4171/143-1/2 ◽

2015 ◽

pp. 9-89

Author(s):

Loïc Foissy

Keyword(s):

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