EbrahimiFard, Kurusch 1973
Overview
Works:  19 works in 68 publications in 1 language and 1,285 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Editor, Author, Other 
Classifications:  QC20.7.R43, 530.143 
Publication Timeline
.
Most widely held works by
Kurusch EbrahimiFard
Faà di Bruno Hopf algebras, DysonSchwinger equations, and LieButcher series by Workshop DysonSchwinger Equations and Faà Di Bruno Hopf Algebras in Physics and Combinatorics(
)
7 editions published in 2015 in English and held by 549 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
7 editions published in 2015 in English and held by 549 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
Combinatorics and physics : MiniWorkshop on Renormalization, December 1516, 2006 ; Conference on Combinatorics and Physics,
March 1923, 2007, Max Planck Institut für Mathematik, Bonn, Germany by
Bonn) Mini Workshop on Renormalization (2006(
Book
)
21 editions published between 2011 and 2012 in English and held by 214 WorldCat member libraries worldwide
21 editions published between 2011 and 2012 in English and held by 214 WorldCat member libraries worldwide
Discrete Mechanics, Geometric Integration and Lie–Butcher Series : DMGILBS, Madrid, May 2015 by Geometric Integration and LieButcher Series International Brainstorming Workshop on New Developments in Discrete Mechanics(
)
7 editions published in 2018 in English and held by 186 WorldCat member libraries worldwide
This volume resulted from presentations given at the international "Brainstorming Workshop on New Developments in Discrete Mechanics, Geometric Integration and LieButcher Series", that took place at the Instituto de Ciencias Matemáticas (ICMAT) in Madrid, Spain. It combines overview and research articles on recent and ongoing developments, as well as new research directions. Why geometric numerical integration? In their article of the same title Arieh Iserles and Reinout Quispel, two renowned experts in numerical analysis of differential equations, provide a compelling answer to this question. After this introductory chapter a collection of highquality research articles aim at exploring recent and ongoing developments, as well as new research directions in the areas of geometric integration methods for differential equations, nonlinear systems interconnections, and discrete mechanics. One of the highlights is the unfolding of modern algebraic and combinatorial structures common to those topics, which give rise to fruitful interactions between theoretical as well as applied and computational perspectives. The volume is aimed at researchers and graduate students interested in theoretical and computational problems in geometric integration theory, nonlinear control theory, and discrete mechanics.
7 editions published in 2018 in English and held by 186 WorldCat member libraries worldwide
This volume resulted from presentations given at the international "Brainstorming Workshop on New Developments in Discrete Mechanics, Geometric Integration and LieButcher Series", that took place at the Instituto de Ciencias Matemáticas (ICMAT) in Madrid, Spain. It combines overview and research articles on recent and ongoing developments, as well as new research directions. Why geometric numerical integration? In their article of the same title Arieh Iserles and Reinout Quispel, two renowned experts in numerical analysis of differential equations, provide a compelling answer to this question. After this introductory chapter a collection of highquality research articles aim at exploring recent and ongoing developments, as well as new research directions in the areas of geometric integration methods for differential equations, nonlinear systems interconnections, and discrete mechanics. One of the highlights is the unfolding of modern algebraic and combinatorial structures common to those topics, which give rise to fruitful interactions between theoretical as well as applied and computational perspectives. The volume is aimed at researchers and graduate students interested in theoretical and computational problems in geometric integration theory, nonlinear control theory, and discrete mechanics.
Computation and Combinatorics in Dynamics, Stochastics and Control : The Abel Symposium, Rosendal, Norway, August 2016 by
Elena Celledoni(
)
6 editions published between 2018 and 2019 in English and held by 165 WorldCat member libraries worldwide
The Abel Symposia volume at hand contains a collection of highquality articles written by the world's leading experts, and addressing all mathematicians interested in advances in deterministic and stochastic dynamical systems, numerical analysis, and control theory. In recent years we have witnessed a remarkable convergence between individual mathematical disciplines that approach deterministic and stochastic dynamical systems from mathematical analysis, computational mathematics and control theoretical perspectives. Breakthrough developments in these fields now provide a common mathematical framework for attacking many different problems related to differential geometry, analysis and algorithms for stochastic and deterministic dynamics. In the Abel Symposium 2016, which took place from August 1619 in Rosendal near Bergen, leading researchers in the fields of deterministic and stochastic differential equations, control theory, numerical analysis, algebra and random processes presented and discussed the current state of the art in these diverse fields. The current Abel Symposia volume may serve as a point of departure for exploring these related but diverse fields of research, as well as an indicator of important current and future developments in modern mathematics
6 editions published between 2018 and 2019 in English and held by 165 WorldCat member libraries worldwide
The Abel Symposia volume at hand contains a collection of highquality articles written by the world's leading experts, and addressing all mathematicians interested in advances in deterministic and stochastic dynamical systems, numerical analysis, and control theory. In recent years we have witnessed a remarkable convergence between individual mathematical disciplines that approach deterministic and stochastic dynamical systems from mathematical analysis, computational mathematics and control theoretical perspectives. Breakthrough developments in these fields now provide a common mathematical framework for attacking many different problems related to differential geometry, analysis and algorithms for stochastic and deterministic dynamics. In the Abel Symposium 2016, which took place from August 1619 in Rosendal near Bergen, leading researchers in the fields of deterministic and stochastic differential equations, control theory, numerical analysis, algebra and random processes presented and discussed the current state of the art in these diverse fields. The current Abel Symposia volume may serve as a point of departure for exploring these related but diverse fields of research, as well as an indicator of important current and future developments in modern mathematics
Feynman amplitudes, periods, and motives : international research workshop, periods and motives : a modern perspective on
renormalization : July 26, 2012, Instituto de Ciencias Matemáticas, Madrid, Spain by
Luis ÁlvarezCónsul(
Book
)
12 editions published between 2012 and 2015 in English and held by 148 WorldCat member libraries worldwide
This volume contains the proceedings of the International Research Workshop on Periods and MotivesA Modern Perspective on Renormalization, held from July 26, 2012, at the Instituto de Ciencias Matemáticas, Madrid, Spain. Feynman amplitudes are integrals attached to Feynman diagrams by means of Feynman rules. They form a central part of perturbative quantum field theory, where they appear as coefficients of power series expansions of probability amplitudes for physical processes. The efficient computation of Feynman amplitudes is pivotal for theoretical predictions in particle physics. Periods are numbers computed as integrals of algebraic differential forms over topological cycles on algebraic varieties. The term originated from the period of a periodic elliptic function, which can be computed as an elliptic integral. Motives emerged from Grothendieck's "universal cohomology theory", where they describe an intermediate step between algebraic varieties and their linear invariants (cohomology). The theory of motives provides a conceptual framework for the study of periods. In recent work, a beautiful relation between Feynman amplitudes, motives and periods has emerged. The articles provide an exciting panoramic view on recent developments in this fascinating and fruitful interaction between pure mathematics and modern theoretical physics
12 editions published between 2012 and 2015 in English and held by 148 WorldCat member libraries worldwide
This volume contains the proceedings of the International Research Workshop on Periods and MotivesA Modern Perspective on Renormalization, held from July 26, 2012, at the Instituto de Ciencias Matemáticas, Madrid, Spain. Feynman amplitudes are integrals attached to Feynman diagrams by means of Feynman rules. They form a central part of perturbative quantum field theory, where they appear as coefficients of power series expansions of probability amplitudes for physical processes. The efficient computation of Feynman amplitudes is pivotal for theoretical predictions in particle physics. Periods are numbers computed as integrals of algebraic differential forms over topological cycles on algebraic varieties. The term originated from the period of a periodic elliptic function, which can be computed as an elliptic integral. Motives emerged from Grothendieck's "universal cohomology theory", where they describe an intermediate step between algebraic varieties and their linear invariants (cohomology). The theory of motives provides a conceptual framework for the study of periods. In recent work, a beautiful relation between Feynman amplitudes, motives and periods has emerged. The articles provide an exciting panoramic view on recent developments in this fascinating and fruitful interaction between pure mathematics and modern theoretical physics
RotaBaxter algebras and the Hopf algebra of renormalization by
Kurusch EbrahimiFard(
Book
)
1 edition published in 2006 in English and held by 5 WorldCat member libraries worldwide
1 edition published in 2006 in English and held by 5 WorldCat member libraries worldwide
Commemorative Colloquium dedicated to Nikolai Neumaier : June 1618, 2011; LMIA, Université de HauteAlsace, Mulhouse, France(
Book
)
1 edition published in 2012 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 2012 in English and held by 4 WorldCat member libraries worldwide
Faà di Bruno Hopf Algebras, Dyson?Schwinger Equations, and Lie?Butcher Series by
Kurusch EbrahimiFard(
Book
)
2 editions published in 2015 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 2015 in English and held by 2 WorldCat member libraries worldwide
Discrete mechanics, geometric integration and lie butcher series(
)
1 edition published in 2018 in Undetermined and held by 2 WorldCat member libraries worldwide
1 edition published in 2018 in Undetermined and held by 2 WorldCat member libraries worldwide
RotaBaxter algebras and new combinatorial identities by
Kurusch EbrahimiFard(
Book
)
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
The Hopf algebra approach to Feynman diagram calculations by
Kurusch EbrahimiFard(
Book
)
1 edition published in 2005 in English and held by 1 WorldCat member library worldwide
1 edition published in 2005 in English and held by 1 WorldCat member library worldwide
On free RotaBaxter algebras by
Kurusch EbrahimiFard(
Book
)
1 edition published in 2006 in English and held by 1 WorldCat member library worldwide
1 edition published in 2006 in English and held by 1 WorldCat member library worldwide
Birkhoff type decompositions and the BakerCampbellHausdorff recursion(
)
1 edition published in 2006 in English and held by 1 WorldCat member library worldwide
1 edition published in 2006 in English and held by 1 WorldCat member library worldwide
RotaBaxter algebras and new combinatorial identities(
)
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
The Hopf Algebra of ($q$)Multiple Polylogarithms with Nonpositive Arguments(
)
1 edition published in 2016 in English and held by 1 WorldCat member library worldwide
Abstract We consider multiple polylogarithms (MPLs) in a single variable at nonpositive indices. Defining a connected graded Hopf algebra, we apply Connes’ and Kreimer’s algebraic Birkhoff decomposition to renormalize MPLs at nonpositive integer arguments, which satisfy the shuffle relation. The qanalogue of this result is as well presented, and compared to the classical case
1 edition published in 2016 in English and held by 1 WorldCat member library worldwide
Abstract We consider multiple polylogarithms (MPLs) in a single variable at nonpositive indices. Defining a connected graded Hopf algebra, we apply Connes’ and Kreimer’s algebraic Birkhoff decomposition to renormalize MPLs at nonpositive integer arguments, which satisfy the shuffle relation. The qanalogue of this result is as well presented, and compared to the classical case
On free RotaBaxter algebras(
)
1 edition published in 2006 in English and held by 1 WorldCat member library worldwide
1 edition published in 2006 in English and held by 1 WorldCat member library worldwide
Flows and stochastic Taylor series in Itô calculus(
)
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
Abstract: For general stochastic systems driven by continuous semimartingales an explicit formula for the logarithm of the Itô flow map is given. The computation relies on the lift to quasishuffle algebras of formulas involving products of Itô integrals of semimartingales. Whereas the Chen–Strichartz formula computing the logarithm of the Stratonovich flow map is classically expanded as a formal sum indexed by permutations, the analogous formula in Itô calculus is naturally indexed by surjections. This reflects the change of algebraic background involved in the transition between the two integration theories. Lastly, we extend our formula for the quasishuffle Chen–Strichartz series for the logarithm of the flow map to the noncommutative case. For linear matrixvalued SDEs driven by arbitrary semimartingales we obtain a similar formula
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
Abstract: For general stochastic systems driven by continuous semimartingales an explicit formula for the logarithm of the Itô flow map is given. The computation relies on the lift to quasishuffle algebras of formulas involving products of Itô integrals of semimartingales. Whereas the Chen–Strichartz formula computing the logarithm of the Stratonovich flow map is classically expanded as a formal sum indexed by permutations, the analogous formula in Itô calculus is naturally indexed by surjections. This reflects the change of algebraic background involved in the transition between the two integration theories. Lastly, we extend our formula for the quasishuffle Chen–Strichartz series for the logarithm of the flow map to the noncommutative case. For linear matrixvalued SDEs driven by arbitrary semimartingales we obtain a similar formula
Birkhoff type decompositions and the BakerCampbellHausdorff recursion by
Kurusch EbrahimiFard(
Book
)
1 edition published in 2006 in English and held by 1 WorldCat member library worldwide
1 edition published in 2006 in English and held by 1 WorldCat member library worldwide
Combinatorics and Physics by
MiniWorkshop on Renormalization(
)
1 edition published in 2011 in English and held by 1 WorldCat member library worldwide
1 edition published in 2011 in English and held by 1 WorldCat member library worldwide
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Audience Level
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Kids  General  Special 
Related Identities
 Fauvet, F. (Frédéric) Author Editor
 Suijlekom, Walter D. van 1978 Other Editor
 Marcolli, Matilde Other Editor
 MaxPlanckInstitut für Mathematik Other
 Barbero Liñán, María Editor
 MuntheKaas, Hans Zanna Editor
 Celledoni, Elena Author Editor
 Di Nunno, Giulia Editor
 ÁlvarezCónsul, Luis 1970 Author Editor
 Burgos Gil, José I. (José Ignacio) 1962 Editor
Associated Subjects
Covers
Alternative Names
Fard, Kurusch Ebrahimi.
Fard Kurusch Ebrahimi 1973....
Languages