Fauvet, F. (Frédéric)
Overview
Works:  15 works in 66 publications in 1 language and 1,845 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Editor, Other, Author, Animator 
Publication Timeline
.
Most widely held works by
F Fauvet
From combinatorics to dynamical systems : journées de calcul formel, Strasbourg, March 2223, 2002 by
F Fauvet(
)
16 editions published between 2003 and 2008 in English and held by 1,285 WorldCat member libraries worldwide
Annotation This book contains nine refereed research papers in various areas, from combinatorics to dynamical systems, with computer algebra as an underlying and unifying theme. Topics covered are irregular connections, summability of solutions and rank reduction of differential systems, asymptotic behaviour of divergent series, integrability of Hamiltonian systems, multiple zeta values, quasi polynomial formalism, Padé approximants related to analytic integrability, hybrid systems. The volume as a whole gives a presentation of productive interactions between ideas stemming from computer algebra and questions arising in dynamical systems or combinatorics. As such, it should be useful for both mathematicians and theoretical physicists who are interested in effective computation
16 editions published between 2003 and 2008 in English and held by 1,285 WorldCat member libraries worldwide
Annotation This book contains nine refereed research papers in various areas, from combinatorics to dynamical systems, with computer algebra as an underlying and unifying theme. Topics covered are irregular connections, summability of solutions and rank reduction of differential systems, asymptotic behaviour of divergent series, integrability of Hamiltonian systems, multiple zeta values, quasi polynomial formalism, Padé approximants related to analytic integrability, hybrid systems. The volume as a whole gives a presentation of productive interactions between ideas stemming from computer algebra and questions arising in dynamical systems or combinatorics. As such, it should be useful for both mathematicians and theoretical physicists who are interested in effective computation
Resurgence, physics and numbers(
)
1 edition published in 2017 in English and held by 158 WorldCat member libraries worldwide
This book is issued from a conference around resurgent functions in Physics and multiple zetavalues, which was held at the Centro di Ricerca Matematica Ennio de Giorgi in Pisa, on May 1822, 2015. This meeting originally stemmed from the impressive upsurge of interest for Jean Ecalle's alien calculus in Physics, in the last years  a trend that has considerably developed since then. The volume contains both original research papers and surveys, by leading experts in the field, reflecting the themes that were tackled at this event: Stokes phenomenon and resurgence, in various mathematical and physical contexts but also related constructions in algebraic combinatorics and results concerning numbers, specifically multiple zetavalues. .
1 edition published in 2017 in English and held by 158 WorldCat member libraries worldwide
This book is issued from a conference around resurgent functions in Physics and multiple zetavalues, which was held at the Centro di Ricerca Matematica Ennio de Giorgi in Pisa, on May 1822, 2015. This meeting originally stemmed from the impressive upsurge of interest for Jean Ecalle's alien calculus in Physics, in the last years  a trend that has considerably developed since then. The volume contains both original research papers and surveys, by leading experts in the field, reflecting the themes that were tackled at this event: Stokes phenomenon and resurgence, in various mathematical and physical contexts but also related constructions in algebraic combinatorics and results concerning numbers, specifically multiple zetavalues. .
Renormalization and Galois theories by
J.P Ramis(
Book
)
9 editions published in 2009 in English and held by 128 WorldCat member libraries worldwide
"This volume is the outcome of a CIRM Workshop on Renormalization and Galois Theories held in Luminy, France, in March 2006. The subject of this workshop was the interaction and relationship between four currently very active areas: renormalization in quantum field theory (QFT), differential Galois theory, noncommutative geometry, motives and Galois theory. The last decade has seen a burst of new techniques to cope with the various mathematical questions involved in QFT, with notably the development of a Hopfalgebraic approach and insights into the classes of numbers and special functions that systematically appear in the calculations of perturbative QFT (pQFT). The analysis of the ambiguities of resummation of the divergent series of pQFT, an old problem, has been renewed, using recent results on Gevrey asymptotics, generalized Borel summation, Stokes phenomenon and resurgent functions. The purpose of the present book is to highlight, in the context of renormalization, the convergence of these various themes, orchestrated by diverse Galois theories. It contains three lecture courses together with five research articles and will be useful to both researchers and graduate students in mathematics and physics."Publisher's description
9 editions published in 2009 in English and held by 128 WorldCat member libraries worldwide
"This volume is the outcome of a CIRM Workshop on Renormalization and Galois Theories held in Luminy, France, in March 2006. The subject of this workshop was the interaction and relationship between four currently very active areas: renormalization in quantum field theory (QFT), differential Galois theory, noncommutative geometry, motives and Galois theory. The last decade has seen a burst of new techniques to cope with the various mathematical questions involved in QFT, with notably the development of a Hopfalgebraic approach and insights into the classes of numbers and special functions that systematically appear in the calculations of perturbative QFT (pQFT). The analysis of the ambiguities of resummation of the divergent series of pQFT, an old problem, has been renewed, using recent results on Gevrey asymptotics, generalized Borel summation, Stokes phenomenon and resurgent functions. The purpose of the present book is to highlight, in the context of renormalization, the convergence of these various themes, orchestrated by diverse Galois theories. It contains three lecture courses together with five research articles and will be useful to both researchers and graduate students in mathematics and physics."Publisher's description
Faà di Bruno Hopf algebras, DysonSchwinger equations, and LieButcher series by Workshop DysonSchwinger Equations and Faà Di Bruno Hopf Algebras in Physics and Combinatorics(
Book
)
5 editions published in 2015 in English and held by 68 WorldCat member libraries worldwide
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, DysonSchwinger 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 relevant to high energy physics, control theory, dynamical systems, and numerical integration methods. More specifically, connections between DysonSchwinger equations, Faà di Bruno algebras, and Butcher series are examined in great detail. This volume is aimed at researchers and graduate students interested in combinatorial and algebraic aspects of QFT, control theory, dynamical systems and numerical analysis of integration methods. It contains introductory lectures on the various constructions that are emerging and developing in these domains
5 editions published in 2015 in English and held by 68 WorldCat member libraries worldwide
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, DysonSchwinger 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 relevant to high energy physics, control theory, dynamical systems, and numerical integration methods. More specifically, connections between DysonSchwinger equations, Faà di Bruno algebras, and Butcher series are examined in great detail. This volume is aimed at researchers and graduate students interested in combinatorial and algebraic aspects of QFT, control theory, dynamical systems and numerical analysis of integration methods. It contains introductory lectures on the various constructions that are emerging and developing in these domains
Asymptotics in dynamics, geometry and PDEs : generalized Borel summation by
O Costin(
)
8 editions published between 2011 and 2012 in English and held by 64 WorldCat member libraries worldwide
These are the proceedings of a oneweek international conference centered on asymptotic analysis and its applications. They contain major contributions dealing with  mathematical physics: PT symmetry, perturbative quantum field theory, WKB analysis,  local dynamics: parabolic systems, small denominator questions  new aspects in mould calculus, with related combinatorial Hopf algebras and application to multizeta values, and a new family of resurgent functions related to knot theory
8 editions published between 2011 and 2012 in English and held by 64 WorldCat member libraries worldwide
These are the proceedings of a oneweek international conference centered on asymptotic analysis and its applications. They contain major contributions dealing with  mathematical physics: PT symmetry, perturbative quantum field theory, WKB analysis,  local dynamics: parabolic systems, small denominator questions  new aspects in mould calculus, with related combinatorial Hopf algebras and application to multizeta values, and a new family of resurgent functions related to knot theory
Resurgence, physics and numbers by Physics and Numbers Conference Resurgence(
)
9 editions published in 2017 in English and held by 37 WorldCat member libraries worldwide
This book is issued from a conference around resurgent functions in Physics and multiple zetavalues, which was held at the Centro di Ricerca Matematica Ennio de Giorgi in Pisa, on May 1822, 2015. This meeting originally stemmed from the impressive upsurge of interest for Jean Ecalle's alien calculus in Physics, in the last years  a trend that has considerably developed since then. The volume contains both original research papers and surveys, by leading experts in the field, reflecting the themes that were tackled at this event: Stokes phenomenon and resurgence, in various mathematical and physical contexts but also related constructions in algebraic combinatorics and results concerning numbers, specifically multiple zetavalues
9 editions published in 2017 in English and held by 37 WorldCat member libraries worldwide
This book is issued from a conference around resurgent functions in Physics and multiple zetavalues, which was held at the Centro di Ricerca Matematica Ennio de Giorgi in Pisa, on May 1822, 2015. This meeting originally stemmed from the impressive upsurge of interest for Jean Ecalle's alien calculus in Physics, in the last years  a trend that has considerably developed since then. The volume contains both original research papers and surveys, by leading experts in the field, reflecting the themes that were tackled at this event: Stokes phenomenon and resurgence, in various mathematical and physical contexts but also related constructions in algebraic combinatorics and results concerning numbers, specifically multiple zetavalues
Asymptotics in Dynamics, Geometry and PDEs ; Generalized Borel Summation vol. I by
O Costin(
)
8 editions published in 2011 in English and held by 32 WorldCat member libraries worldwide
These are the proceedings of a oneweek international conference centered on asymptotic analysis and its applications. They contain major contributions dealing with  mathematical physics: PT symmetry, perturbative quantum field theory, WKB analysis,  local dynamics: parabolic systems, small denominator questions,  new aspects in mould calculus, with related combinatorial Hopf algebras and application to multizeta values,  a new family of resurgent functions related to knot theory
8 editions published in 2011 in English and held by 32 WorldCat member libraries worldwide
These are the proceedings of a oneweek international conference centered on asymptotic analysis and its applications. They contain major contributions dealing with  mathematical physics: PT symmetry, perturbative quantum field theory, WKB analysis,  local dynamics: parabolic systems, small denominator questions,  new aspects in mould calculus, with related combinatorial Hopf algebras and application to multizeta values,  a new family of resurgent functions related to knot theory
Asymptotics in Dynamics, Geometry and PDEs ; Generalized Borel Summation vol. II by
O Costin(
)
3 editions published in 2011 in English and held by 22 WorldCat member libraries worldwide
These are the proceedings of a oneweek international conference centered on asymptotic analysis and its applications. They contain major contributions dealing with: mathematical physics: PT symmetry, perturbative quantum field theory, WKB analysis, local dynamics: parabolic systems, small denominator questions, new aspects in mould calculus, with related combinatorial Hopf algebras and application to multizeta values,{OCLCbr#A0}a new family of resurgent functions related to knot theory
3 editions published in 2011 in English and held by 22 WorldCat member libraries worldwide
These are the proceedings of a oneweek international conference centered on asymptotic analysis and its applications. They contain major contributions dealing with: mathematical physics: PT symmetry, perturbative quantum field theory, WKB analysis, local dynamics: parabolic systems, small denominator questions, new aspects in mould calculus, with related combinatorial Hopf algebras and application to multizeta values,{OCLCbr#A0}a new family of resurgent functions related to knot theory
Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation vol. II by
O Costin(
)
1 edition published in 2011 in English and held by 18 WorldCat member libraries worldwide
1 edition published in 2011 in English and held by 18 WorldCat member libraries worldwide
From combinatorics to dynamical systems : Journées de Calcul Formel, Strasbourg, March 2223, 2002(
)
1 edition published in 2003 in English and held by 13 WorldCat member libraries worldwide
1 edition published in 2003 in English and held by 13 WorldCat member libraries worldwide
Asymptotics in dynamics, geometry and PDEs; generalized Borel summation(
)
1 edition published in 2011 in English and held by 7 WorldCat member libraries worldwide
1 edition published in 2011 in English and held by 7 WorldCat member libraries worldwide
Asymptotics in dynamics, geometry and PDEs; generalized Borel summation(
)
1 edition published in 2011 in English and held by 6 WorldCat member libraries worldwide
These are the proceedings of a oneweek international conference centered on asymptotic analysis and its applications. They contain major contributions dealing with  mathematical physics: PT symmetry, perturbative quantum field theory, WKB analysis,  local dynamics: parabolic systems, small denominator questions,  new aspects in mould calculus, with related combinatorial Hopf algebras and application to multizeta values,  a new family of resurgent functions related to knot theory
1 edition published in 2011 in English and held by 6 WorldCat member libraries worldwide
These are the proceedings of a oneweek international conference centered on asymptotic analysis and its applications. They contain major contributions dealing with  mathematical physics: PT symmetry, perturbative quantum field theory, WKB analysis,  local dynamics: parabolic systems, small denominator questions,  new aspects in mould calculus, with related combinatorial Hopf algebras and application to multizeta values,  a new family of resurgent functions related to knot theory
Asymptotics in Dynamics, Geometry and PDEs ; Generalized Borel Summation vol. I by
O Costin(
Book
)
1 edition published in 2011 in English and held by 5 WorldCat member libraries worldwide
1 edition published in 2011 in English and held by 5 WorldCat member libraries worldwide
Picardie maritime(
)
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
FAA DI BRUNO HOPF ALGEBRAS, DYSONSCHWINGER EQUATIONS, AND LIEBUTCHER SERIES by
F Fauvet(
)
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
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Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Mitschi, C. (Claude) Editor
 Sauzin, David Other Editor
 Manchon, Dominique Other Editor
 Marmi, Stefano Other Editor
 Costin, Ovidiu Author Editor
 Connes, Alain Editor
 Ramis, J.P (JeanPierre)
 Menous, Frédéric Editor
 European Mathematical Society Publisher
 Centre national de rencontres mathématiques (France)
Associated Subjects
AlgebraData processing Asymptotic expansions Borel sets Combinatorial analysis Differential equations, Parabolic Differential equations, Partial Divergent series Dynamics Galois theory Geometry, Differential Global analysis (Mathematics) Hopf algebras Integrals Mathematical physics Mathematics Quantum theoryMathematics Renormalization (Physics) Summability theory