Tabla de Contenidos:
  • One-particle irreducibility with initial correlations / Christian Brouder and Frédéric Patras
  • Multiple zeta values and periods: from moduli spaces to Feynman integrals / Francis Brown
  • From quantum electrodynamics to posets of planar binary trees / Frédéric Chapoton and Alessandra Frabetti
  • Sweedler's duals and Schützenberger's calculus / Gérard H. E. Duchamp and Christophe Tollu
  • Primitive elements of the Hopf algebra of free quasi-symmetric functions / L. Foissy
  • A renormalisation group approach to stochastic Lœwner evolutions / Roland Friedrich
  • On the causal gauge principle / José M. Gracia-Bondía
  • Abstract integration, combinatorics of trees and differential equations / Massimiliano Gubinelli
  • Rooted trees appearing in products and co-products / Ralf Holtkamp
  • Magnus expansions and beyond / Arieh Iserles
  • Wilsonian renormalization, differential equations and Hopf algebras / T. Krajewski and P. Martinetti
  • Algebraic analysis of non-renormalization theorems in supersymmetric field theories / E. Kraus
  • Not so non-renormalizable gravity / Dirk Kreimer
  • Renormalised multiple zeta values which respect quasi-shuffle relations / Dominique Manchon
  • Formulas for the Connes-Moscovici Hopf algebra / Frédéric Menous
  • Hopf algebras and the combinatorics of connected graphs in quantum field theory / Ângela Mestre and Robert Oeckl
  • Hopf algebras of formal diffeomorphisms and numerical integration on manifolds / Alexander Lundervold and Hans Munthe-Kaas
  • A combinatorial and field theoretic path to quantum gravity: the new challenges of group field theory / D. Oriti
  • Noncommutative formal Taylor expansions and second quantised regularised traces / Sylvie Paycha
  • Motives: an introductory survey for physicists / Abhijnan Rej
  • Combinatorics and Feynman graphs for gauge theories / Walter D. van Suijlekom
  • Multi-scale analysis and non-commutative field theory / Fabien Vignes-Tourneret