BooksirmaCollected Volume

Renormalization and Galois Theories

Editors

Alain Connes
IHÉS, Bures-sur-Yvette, France
Frédéric Fauvet
IRMA, Strasbourg, France
Jean-Pierre Ramis
Institut de Mathématiques de Toulouse, France

Renormalization and Galois Theories cover

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pp. 1–37
Noncommutative geometry and motives (à quoi servent les endomotifs?)
Caterina Consani
pp. 39–82
Renormalisation of non-commutative field theories
Vincent RivasseauFabien Vignes-Tourneret
pp. 83–163
Mould expansions for the saddle-node and resurgence monomials
David Sauzin
pp. 165–177
Galois theory, motives and transcendental numbers
Yves André
pp. 179–207
The combinatorics of Bogoliubov’s recursion in renormalization
Kurusch Ebrahimi-FardDominique Manchon
pp. 209–227
(Non)commutative Hopf algebras of trees and (quasi)symmetric functions
Michael E. Hoffman
pp. 229–246
Formal differential equations and renormalization
Frédéric Menous
pp. 247–270
Feynman integrals and multiple polylogarithms
Stefan Weinzierl