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Faà di Bruno Hopf algebras, Dyson-Schwinger equations, and Lie-Butcher series by Ebrahimi-Fard, Kurusch; Fauvet, Frédéric is a nonfiction available to read on EtoBox.

What is Faà di Bruno Hopf algebras, Dyson-Schwinger equations, and Lie-Butcher series about?

Since the early works of G.-C. Rota and his school, Hopf algebras have been instrumental in algebraic combinatorics. In a seminal 1998 paper, A. Connes and D. Kreimer presented a Hopf algebraic approach to renormalization in perturbative Quantum Field Theory (QFT). This work triggered an abundance of new research on applications of Hopf algebraic techniques in QFT as well as other areas of theoretical physics. Furthermore, these new developments were complemented by progress made in other domains of applications, such as control theory, dynamical systems, and numerical integration methods. Especially in the latter context, it became clear that J. Butcher’s work from the early 1970s was well ahead of its time. The present volume emanated from a conference hosted in June 2011 by IRMA at Strasbourg University in France. Researchers from different scientific communities who share similar techniques and objectives gathered at this meeting to discuss new ideas and results on Faà di Bruno algebras, Dyson–Schwinger equations, and Butcher series. The purpose of this book is to present a coherent set of lectures reflecting the state of the art of research on combinatorial Hopf algebras relev

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Author

Ebrahimi-Fard, Kurusch; Fauvet, Frédéric

Publisher

European Mathematical Society Publishing House, Zuerich, Switzerland

Published

2015

Language

EN

ISBN

9783037191439

Category

nonfiction

Subjects

Mathematics, Science, Physics