WorldCat Identities

Ebrahimi-Fard, Kurusch 1973-

Overview
Works: 21 works in 54 publications in 1 language and 578 library holdings
Genres: Conference papers and proceedings 
Roles: Editor, Author, Other
Publication Timeline
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Most widely held works by Kurusch Ebrahimi-Fard
Combinatorics and physics : Mini-Workshop on Renormalization, December 15-16, 2006 ; Conference on Combinatorics and Physics, March 19-23, 2007, Max Planck Institut für Mathematik, Bonn, Germany by Bonn) Mini Workshop on Renormalization (2006( Book )

19 editions published between 2011 and 2012 in English and held by 210 WorldCat member libraries worldwide

Feynman amplitudes, periods, and motives : international research workshop, periods and motives : a modern perspective on renormalization : July 2-6, 2012, Instituto de Ciencias Matemáticas, Madrid, Spain by International Research Workshop Periods and Motives - a Modern Perspective on Renormalization( Book )

9 editions published between 2012 and 2015 in English and held by 133 WorldCat member libraries worldwide

This volume contains the proceedings of the International Research Workshop on Periods and Motives--A Modern Perspective on Renormalization, held from July 2-6, 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
Discrete mechanics, geometric integration and Lie-Butcher series : DMGILBS, Madrid, May 2015 by Geometric Integration and Lie-Butcher Series International Brainstorming Workshop on New Developments in Discrete Mechanics( )

1 edition published in 2018 in English and held by 100 WorldCat member libraries worldwide

This volume resulted from presentations given at the international “Brainstorming Workshop on New Developments in Discrete Mechanics, Geometric Integration and Lie–Butcher 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 high-quality 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.--
Faà di Bruno Hopf algebras, Dyson-Schwinger equations, and Lie-Butcher series by Workshop Dyson-Schwinger Equations and Faà Di Bruno Hopf Algebras in Physics and Combinatorics( Book )

7 editions published in 2015 in English and held by 88 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, Dyson-Schwinger 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 Dyson-Schwinger 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
Feynman Amplitudes, Periods and Motives by Luis Álvarez-Cónsul( )

1 edition published in 2015 in English and held by 13 WorldCat member libraries worldwide

This volume contains the proceedings of the International Research Workshop on Periods and Motives-A Modern Perspective on Renormalization, held from July 2-6, 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. Period
Discrete Mechanics, Geometric Integration and Lie–Butcher Series : DMGILBS, Madrid, May 2015( )

1 edition published in 2018 in English and held by 11 WorldCat member libraries worldwide

Rota-Baxter algebras and the Hopf algebra of renormalization by Kurusch Ebrahimi-Fard( Book )

1 edition published in 2006 in English and held by 5 WorldCat member libraries worldwide

Commemorative Colloquium dedicated to Nikolai Neumaier : June 16-18, 2011; LMIA, Université de Haute-Alsace, Mulhouse, France( Book )

1 edition published in 2012 in English and held by 4 WorldCat member libraries worldwide

FAA DI BRUNO HOPF ALGEBRAS, DYSONSCHWINGER EQUATIONS, AND LIEBUTCHER SERIES by F Fauvet( Book )

2 editions published in 2015 in English and held by 2 WorldCat member libraries worldwide

Combinatorics and Physics by Mini-Workshop on Renormalization( )

1 edition published in 2011 in English and held by 2 WorldCat member libraries worldwide

Feynman Amplitudes, Periods and Motives by Luis Álvarez-Cónsul( Book )

1 edition published in 2015 in English and held by 1 WorldCat member library worldwide

This volume contains the proceedings of the International Research Workshop on Periods and Motives-A Modern Perspective on Renormalization, held from July 2-6, 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
Rota-Baxter algebras and new combinatorial identities by Kurusch Ebrahimi-Fard( Book )

1 edition published in 2007 in English and held by 1 WorldCat member library worldwide

The Hopf Algebra of ($q$-)Multiple Polylogarithms with Non-positive 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 non-positive indices. Defining a connected graded Hopf algebra, we apply Connes’ and Kreimer’s algebraic Birkhoff decomposition to renormalize MPLs at non-positive integer arguments, which satisfy the shuffle relation. The q-analogue of this result is as well presented, and compared to the classical case
Rota-Baxter algebras and new combinatorial identities( )

1 edition published in 2007 in English and held by 1 WorldCat member library worldwide

On free Rota-Baxter algebras( )

1 edition published in 2006 in English and held by 1 WorldCat member library worldwide

On free Rota-Baxter algebras by Kurusch Ebrahimi-Fard( Book )

1 edition published in 2006 in English and held by 1 WorldCat member library worldwide

Birkhoff type decompositions and the Baker-Campbell-Hausdorff recursion( )

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 quasi-shuffle 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 quasi-shuffle Chen–Strichartz series for the logarithm of the flow map to the non-commutative case. For linear matrix-valued SDEs driven by arbitrary semimartingales we obtain a similar formula
The Hopf algebra approach to Feynman diagram calculations by Kurusch Ebrahimi-Fard( Book )

1 edition published in 2005 in English and held by 1 WorldCat member library worldwide

Birkhoff type decompositions and the Baker-Campbell-Hausdorff recursion by Kurusch Ebrahimi-Fard( Book )

1 edition published in 2006 in English and held by 1 WorldCat member library worldwide

 
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Combinatorics and physics : Mini-Workshop on Renormalization, December 15-16, 2006 ; Conference on Combinatorics and Physics, March 19-23, 2007, Max Planck Institut für Mathematik, Bonn, Germany Combinatorics and Physics
Covers
Combinatorics and Physics
Alternative Names
Fard, Kurusch Ebrahimi-.

Fard Kurusch Ebrahimi 1973-....

Languages
English (53)