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Combinatorics and physics : [electronic resource] Mini-Workshop on Renormalization, December 15-16, 2006; Conference on Combinatorics and Physics, March 19-23, 2007, Max Planck Institut f�ur Mathematik, Bonn, Germany / Kurusch Ebrahimi-Fard, Matilde Marcolli, Walter D. van Suijlekom, editors.

By: Mini-Workshop on Renormalization (2006 : Max Planck Institut f�ur Mathematik)Contributor(s): Ebrahimi-Fard, Kurusch, 1973- | Marcolli, Matilde | Suijlekom, Walter D. van, 1978- | Max-Planck-Institut f�ur Mathematik | Conference on Combinatorics and Physics (2007 : Max Planck Institut f�ur Mathematik)Material type: Text

TextSeries: Contemporary mathematics ; v. 539Publication details: Providence, R.I. : American Mathematical Society, c2011Description: 1 online resource (ix, 465 p. : ill.)ISBN: 9780821882184 (online)Subject(s): Renormalization group -- Congresses | Quantum field theory -- Congresses | Numerical integration -- Congresses | Quantum theory -- Quantum field theory; related classical field theories -- Perturbative methods of renormalization | Numerical analysis -- Numerical approximation and computational geometry (primarily algorithms) -- Numerical integrationAdditional physical formats: Combinatorics and physics :DDC classification: 530.14/3 LOC classification: QC20.7.R43 | M56 2006Other classification: 81T15 | 65D30 Online resources: Contents | Contents

Contents:

One-particle irreducibility with initial correlations / Christian Brouder and Fr�ed�eric Patras -- http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10625 Multiple zeta values and periods: from moduli spaces to Feynman integrals / Francis Brown -- http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10626 From quantum electrodynamics to posets of planar binary trees / Fr�ed�eric Chapoton and Alessandra Frabetti -- http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10627 Sweedler's duals and Sch�utzenberger's calculus / G�erard H. E. Duchamp and Christophe Tollu -- http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10628 Primitive elements of the Hopf algebra of free quasi-symmetric functions / L. Foissy -- http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10629 A renormalisation group approach to stochastic L�wner evolutions / Roland Friedrich -- http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10630 On the causal gauge principle / Jos�e M. Gracia-Bond�ia -- http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10631 Abstract integration, combinatorics of trees and differential equations / Massimiliano Gubinelli -- http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10632 Rooted trees appearing in products and co-products / Ralf Holtkamp -- http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10633 Magnus expansions and beyond / Arieh Iserles -- http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10634 Wilsonian renormalization, differential equations and Hopf algebras / T. Krajewski and P. Martinetti -- http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10635 Algebraic analysis of non-renormalization theorems in supersymmetric field theories / E. Kraus -- http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10636 Not so non-renormalizable gravity / Dirk Kreimer -- http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10637 Renormalised multiple zeta values which respect quasi-shuffle relations / Dominique Manchon -- http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10638 Formulas for the Connes-Moscovici Hopf algebra / Fr�ed�eric Menous -- http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10639 Hopf algebras and the combinatorics of connected graphs in quantum field theory / �Angela Mestre and Robert Oeckl -- http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10640 Hopf algebras of formal diffeomorphisms and numerical integration on manifolds / Alexander Lundervold and Hans Munthe-Kaas -- http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10641 A combinatorial and field theoretic path to quantum gravity: the new challenges of group field theory / D. Oriti -- http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10642 Noncommutative formal Taylor expansions and second quantised regularised traces / Sylvie Paycha -- http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10643 Motives: an introductory survey for physicists / Abhijnan Rej -- http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10644 Combinatorics and Feynman graphs for gauge theories / Walter D. van Suijlekom -- http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10645 Multi-scale analysis and non-commutative field theory / Fabien Vignes-Tourneret -- http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10646

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Includes bibliographical references.

One-particle irreducibility with initial correlations / Christian Brouder and Fr�ed�eric Patras -- Multiple zeta values and periods: from moduli spaces to Feynman integrals / Francis Brown -- From quantum electrodynamics to posets of planar binary trees / Fr�ed�eric Chapoton and Alessandra Frabetti -- Sweedler's duals and Sch�utzenberger's calculus / G�erard 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 L�wner evolutions / Roland Friedrich -- On the causal gauge principle / Jos�e M. Gracia-Bond�ia -- 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 / Fr�ed�eric Menous -- Hopf algebras and the combinatorics of connected graphs in quantum field theory / �Angela 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 --