Edit Profile (opens in new tab) Ebrahimi-Fard, Kurusch Compute Distance To: Compute Author ID: ebrahimi-fard.kurusch Published as: Ebrahimi-Fard, Kurusch; Ebrahimi-Fard, K. Homepage: http://www.icmat.es/kurusch/personal External Links: MGP · ORCID Documents Indexed: 87 Publications since 2002 8 Contributions as Editor Co-Authors: 50 Co-Authors with 92 Joint Publications 1,080 Co-Co-Authors all top 5 Co-Authors 3 single-authored 25 Patras, Frédéric 24 Manchon, Dominique 11 Guo, Li 9 Gray, W. Steven 7 Curry, Charles 7 Munthe-Kaas, Hans Z. 5 Gracia-Bondía, José M. 5 Malham, Simon J. A. 5 Tapia, Nikolas 5 Wiese, Anke 4 Duffaut Espinosa, Luis A. 4 Kreimer, Dirk 4 Lundervold, Alexander 4 Singer, Johannes Maria 3 Burgos Gil, José Ignacio 3 Celestino, Adrián 3 Diehl, Joscha 3 Mencattini, Igor 3 Perales, Daniel 2 Castillo-Medina, Jaime 2 Fauvet, Frédéric 2 Zambotti, Lorenzo 1 Al-Kaabi, Mahdi J. Hasan 1 Álvarez-Cónsul, Luis 1 Barbero-Liñán, María 1 Bauer, Michel 1 Bordemann, Martin 1 Bruned, Yvain 1 Calaque, Damien 1 Cariñena, José F. 1 Celledoni, Elena 1 Chetrite, Raphaël 1 Di Nunno, Giulia 1 Figueroa, Héctor 1 Foissy, Loïc 1 Gangl, Herbert 1 Kock, Joachim 1 Leroux, Philippe 1 Li, Guo 1 Makhlouf, Abdenacer 1 Marcolli, Matilde 1 Nica, Alexandru 1 Owren, Brynjulf 1 Schlichenmaier, Martin 1 Speicher, Roland 1 van Suijlekom, Walter Daniël 1 Várilly, Joseph C. 1 Waldmann, Stefan 1 Witzman, Leon 1 Zhao, Jianqiang all top 5 Serials 5 Letters in Mathematical Physics 5 IMRN. International Mathematics Research Notices 4 Journal of Algebra 3 Advances in Mathematics 3 Journal of Pure and Applied Algebra 3 Journal of Physics A: Mathematical and General 3 Foundations of Computational Mathematics 2 Communications in Mathematical Physics 2 Journal of Mathematical Physics 2 Advances in Applied Mathematics 2 Systems & Control Letters 2 Annales Henri Poincaré 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Contemporary Mathematics 2 Journal of Noncommutative Geometry 2 Springer Proceedings in Mathematics & Statistics 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Bulletin of the Australian Mathematical Society 1 Communications in Algebra 1 Physics Letters. B 1 Mathematics of Computation 1 Journal of Geometry and Physics 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Gazette des Mathématiciens 1 Journal of Differential Equations 1 Numerische Mathematik 1 Proceedings of the London Mathematical Society. Third Series 1 SIAM Journal on Control and Optimization 1 Acta Applicandae Mathematicae 1 Bulgarian Journal of Physics 1 IMA Journal of Mathematical Control and Information 1 International Journal of Algebra and Computation 1 Journal of Algebraic Combinatorics 1 The Electronic Journal of Combinatorics 1 Journal of Lie Theory 1 Theory and Applications of Categories 1 Discrete and Continuous Dynamical Systems 1 Documenta Mathematica 1 Journal of Mathematical Chemistry 1 Séminaire Lotharingien de Combinatoire 1 The Ramanujan Journal 1 Advances in Theoretical and Mathematical Physics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Integers 1 Journal of Algebra and its Applications 1 International Journal of Geometric Methods in Modern Physics 1 Stochastics 1 Travaux Mathématiques 1 IRMA Lectures in Mathematics and Theoretical Physics 1 Clay Mathematics Proceedings 1 Abel Symposia 1 Journal of Physics A: Mathematical and Theoretical 1 Communications in Number Theory and Physics 1 Proceedings A. Royal Society of London 1 SIAM Journal on Applied Algebra and Geometry all top 5 Fields 64 Associative rings and algebras (16-XX) 31 Nonassociative rings and algebras (17-XX) 27 Quantum theory (81-XX) 21 Combinatorics (05-XX) 13 Probability theory and stochastic processes (60-XX) 12 Ordinary differential equations (34-XX) 12 Functional analysis (46-XX) 10 Number theory (11-XX) 9 Systems theory; control (93-XX) 8 General and overarching topics; collections (00-XX) 8 Numerical analysis (65-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 Category theory; homological algebra (18-XX) 5 Special functions (33-XX) 4 Algebraic geometry (14-XX) 4 Topological groups, Lie groups (22-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Partial differential equations (35-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 78 Publications have been cited 923 times in 382 Documents Cited by ▼ Year ▼ Loday-type algebras and the Rota-Baxter relation. Zbl 1035.17001Ebrahimi-Fard, K. 82 2002 Rota-Baxter algebras and dendriform algebras. Zbl 1132.16032Ebrahimi-Fard, Kurusch; Guo, Li 60 2008 Spitzer’s identity and the algebraic Birkhoff decomposition in pQFT. Zbl 1062.81113Ebrahimi-Fard, Kurusch; Guo, Li; Kreimer, Dirk 52 2004 Mixable shuffles, quasi-shuffles and Hopf algebras. Zbl 1103.16025Ebrahimi-Fard, Kurusch; Guo, Li 42 2006 Integrable renormalization. II: The general case. Zbl 1077.81052Ebrahimi-Fard, Kurusch; Guo, Li 38 2005 Two interacting Hopf algebras of trees: a Hopf-algebraic approach to composition and substitution of B-series. Zbl 1235.16032Calaque, Damien; Ebrahimi-Fard, Kurusch; Manchon, Dominique 37 2011 Free Rota-Baxter algebras and rooted trees. Zbl 1154.16026Ebrahimi-Fard, Kurusch; Li, Guo 35 2008 A Lie theoretic approach to renormalization. Zbl 1136.81395Ebrahimi-Fard, Kurusch; Gracia-Bondía, José M.; Patras, Frédéric 33 2007 Birkhoff type decompositions and the Baker-Campbell-Hausdorff recursion. Zbl 1188.17020Ebrahimi-Fard, Kurusch; Guo, Li; Manchon, Dominique 32 2006 A Magnus- and Fer-type formula in dendriform algebras. Zbl 1173.17002Ebrahimi-Fard, Kurusch; Manchon, Dominique 27 2009 A noncommutative Bohnenblust-Spitzer identity for Rota-Baxter algebras solves Bogoliubov’s recursion. Zbl 1171.81412Ebrahimi-Fard, Kurusch; Manchon, Dominique; Patras, Frédéric 23 2009 The Hopf algebra approach to Feynman diagram calculations. Zbl 1092.81051Ebrahimi-Fard, Kurusch; Kreimer, Dirk 21 2005 Rota-Baxter algebras and new combinatorial identities. Zbl 1121.05008Ebrahimi-Fard, Kurusch; Gracia-Bondía, José M.; Patras, Frédéric 19 2007 Integrable renormalization. I: The ladder case. Zbl 1071.81063Ebrahimi-Fard, Kurusch; Guo, Li; Kreimer, Dirk 19 2004 Dendriform equations. Zbl 1229.17001Ebrahimi-Fard, Kurusch; Manchon, Dominique 19 2009 New identities in dendriform algebras. Zbl 1153.17003Ebrahimi-Fard, Kurusch; Manchon, Dominique; Patras, Frédéric 18 2008 Rota-Baxter algebras in renormalization of perturbative quantum field theory. Zbl 1148.81018Ebrahimi-Fard, Kurusch; Guo, Li 17 2007 Cumulants, free cumulants and half-shuffles. Zbl 1371.46071Ebrahimi-Fard, Kurusch; Patras, Frédéric 16 2015 On products and duality of binary, quadratic, regular operads. Zbl 1082.18007Ebrahimi-Fard, Kurusch; Guo, Li 16 2005 On the Lie enveloping algebra of a post-Lie algebra. Zbl 1360.17015Ebrahimi-Fard, Kurusch; Lundervold, Alexander; Munthe-Kaas, Hans Z. 15 2015 Post-Lie algebras and isospectral flows. Zbl 1369.17005Ebrahimi-Fard, Kurusch; Lundervold, Alexander; Mencattini, Igor; Munthe-Kaas, Hans Z. 13 2015 Unfolding the double shuffle structure of \(q\)-multiple zeta values. Zbl 1379.11076Castillo-Medina, Jaime; Ebrahimi-Fard, Kurusch; Manchon, Dominique 12 2015 Multiple zeta values and Rota-Baxter algebras. Zbl 1173.11048Ebrahimi-Fard, Kurusch; Guo, Li 11 2008 The splitting process in free probability theory. Zbl 1404.46056Ebrahimi-Fard, Kurusch; Patras, Frédéric 11 2016 On the associative Nijenhuis relation. Zbl 1074.17001Ebrahimi-Fard, Kurusch 10 2004 Twisted dendriform algebras and the pre-Lie Magnus expansion. Zbl 1254.17002Ebrahimi-Fard, Kurusch; Manchon, Dominique 9 2011 The exponential Lie series for continuous semimartingales. Zbl 1371.60113Ebrahimi-Fard, Kurusch; Malham, Simon J. A.; Patras, Frederic; Wiese, Anke 8 2015 On matrix differential equations in the Hopf algebra of renormalization. Zbl 1141.81026Ebrahimi-Fard, Kurusch; Manchon, Dominique 8 2006 Monotone, free, and Boolean cumulants: a shuffle algebra approach. Zbl 1437.16023Ebrahimi-Fard, Kurusch; Patras, Frédéric 8 2018 Combinatorics of renormalization as matrix calculus. Zbl 1247.81319Ebrahimi-Fard, Kurusch; Gracia-Bondía, José M.; Guo, Li; Várilly, Joseph C. 8 2006 Time-warping invariants of multidimensional time series. Zbl 1460.62145Diehl, Joscha; Ebrahimi-Fard, Kurusch; Tapia, Nikolas 7 2020 Algebraic structure of stochastic expansions and efficient simulation. Zbl 1371.60102Ebrahimi-Fard, Kurusch; Lundervold, Alexander; Malham, Simon J. A.; Munthe-Kaas, Hans; Wiese, Anke 7 2012 Hopf algebras in dynamical systems theory. Zbl 1178.37023Cariñena, José F.; Ebrahimi-Fard, Kurusch; Figueroa, Héctor; Gracia-Bondía, José M. 7 2007 Exponential renormalization. Zbl 1208.81152Ebrahimi-Fard, Kurusch; Patras, Frédéric 7 2010 Shuffle group laws: applications in free probability. Zbl 1486.16036Ebrahimi-Fard, Kurusch; Patras, Frédéric 7 2019 Faà di Bruno Hopf algebra of the output feedback group for multivariable Fliess operators. Zbl 1300.93056Gray, W. Steven; Duffaut Espinosa, Luis A.; Ebrahimi-Fard, Kurusch 7 2014 Noncommutative Bell polynomials, quasideterminants and incidence Hopf algebras. Zbl 1309.16023Ebrahimi-Fard, Kurusch; Lundervold, Alexander; Manchon, Dominique 7 2014 What is a post-Lie algebra and why is it useful in geometric integration. Zbl 1431.65236Curry, Charles; Ebrahimi-Fard, Kurusch; Munthe-Kaas, Hans 6 2018 The combinatorial structure of integral calculus. (La structure combinatoire du calcul intégral.) Zbl 1358.05036Ebrahimi-Fard, Kurusch; Patras, Frédéric 6 2013 Coherent unit actions on regular operads and Hopf algebras. Zbl 1135.18007Ebrahimi-Fard, Kurusch; Guo, Li 6 2007 Post-Lie algebras and factorization theorems. Zbl 1402.17021Ebrahimi-Fard, Kurusch; Mencattini, Igor; Munthe-Kaas, Hans 6 2017 Duality and (\(q\)-)multiple zeta values. Zbl 1355.11087Ebrahimi-Fard, Kurusch; Manchon, Dominique; Singer, Johannes 6 2016 The Magnus expansion, trees and Knuth’s rotation correspondence. Zbl 1331.17016Ebrahimi-Fard, Kurusch; Manchon, Dominique 6 2014 The pre-Lie structure of the time-ordered exponential. Zbl 1302.05206Ebrahimi-Fard, Kurusch; Patras, Frédéric 6 2014 A combinatorial Hopf algebra for nonlinear output feedback control systems. Zbl 1341.93020Duffaut Espinosa, Luis A.; Ebrahimi-Fard, Kurusch; Gray, W. Steven 6 2016 The Hopf algebra of (\(q\)-)multiple polylogarithms with non-positive arguments. Zbl 1405.16042Ebrahimi-Fard, Kurusch; Manchon, Dominique; Singer, Johannes 5 2017 A comodule-bialgebra structure for word-series substitution and mould composition. Zbl 1385.16030Ebrahimi-Fard, Kurusch; Fauvet, Frédéric; Manchon, Dominique 5 2017 On Euler’s decomposition formula for \(q\)MZVs. Zbl 1381.11080Castillo-Medina, Jaime; Ebrahimi-Fard, Kurusch; Manchon, Dominique 5 2015 Flows and stochastic Taylor series in Itô calculus. Zbl 1416.60058Ebrahimi-Fard, Kurusch; Malham, Simon J. A.; Patras, Frédéric; Wiese, Anke 5 2015 Lévy processes and quasi-shuffle algebras. Zbl 1337.60152Curry, Charles; Ebrahimi-Fard, Kurusch; Malham, Simon J. A.; Wiese, Anke 5 2014 The combinatorics of Bogoliubov’s recursion in renormalization. Zbl 1207.81081Ebrahimi-Fard, Kurusch; Manchon, Dominique 5 2009 On an extension of Knuth’s rotation correspondence to reduced planar trees. Zbl 1307.05048Ebrahimi-Fard, Kurusch; Manchon, Dominique 5 2014 Quasi-shuffle algebras and renormalisation of rough differential equations. Zbl 1457.16029Bruned, Yvain; Curry, Charles; Ebrahimi-Fard, Kurusch 5 2020 SISO output affine feedback transformation group and its Faà di Bruno Hopf algebra. Zbl 1361.93016Gray, W. Steven; Ebrahimi-Fard, Kurusch 4 2017 A group-theoretical approach to conditionally free cumulants. Zbl 1461.16034Ebrahimi-Fard, Kurusch; Patras, Frédéric 4 2020 Planarly branched rough paths and rough differential equations on homogeneous spaces. Zbl 1467.60088Curry, C.; Ebrahimi-Fard, K.; Manchon, D.; Munthe-Kaas, H. Z. 4 2020 Discrete-time approximations of Fliess operators. Zbl 1369.93245Gray, W. Steven; Duffaut Espinosa, Luis A.; Ebrahimi-Fard, Kurusch 4 2017 Renormalisation of \(q\)-regularised multiple zeta values. Zbl 1405.11108Ebrahimi-Fard, Kurusch; Manchon, Dominique; Singer, Johannes 4 2016 The tridendriform structure of a discrete Magnus expansion. Zbl 1292.17029Ebrahimi-Fard, Kurusch; Manchon, Dominique 4 2014 Operads of (noncrossing) partitions, interacting bialgebras, and moment-cumulant relations. Zbl 1481.16039Ebrahimi-Fard, Kurusch; Foissy, Loïc; Kock, Joachim; Patras, Frédéric 4 2020 From iterated integrals and chronological calculus to Hopf and Rota-Baxter algebras. Zbl 1493.16029Ebrahimi-Fard, Kurusch; Patras, Frédéric 4 2021 Algebraic structures and stochastic differential equations driven by Lévy processes. Zbl 1425.60055Curry, Charles; Ebrahimi-Fard, Kurusch; Malham, Simon J. A.; Wiese, Anke 3 2019 Hopf-algebraic deformations of products and Wick polynomials. Zbl 1476.16033Ebrahimi-Fard, Kurusch; Patras, Frédéric; Tapia, Nikolas; Zambotti, Lorenzo 3 2020 Time-ordering and a generalized Magnus expansion. Zbl 1282.34016Bauer, Michel; Chetrite, Raphael; Ebrahimi-Fard, Kurusch; Patras, Frédéric 3 2013 Exponential renormalisation. II: Bogoliubov’s \(R\)-operation and momentum subtraction schemes. Zbl 1278.81131Ebrahimi-Fard, Kurusch; Patras, Frédéric 3 2012 Generalized shuffles related to Nijenhuis and TD-algebras. Zbl 1189.17006Ebrahimi-Fard, Kurusch; Leroux, Philippe 3 2009 Cumulant-cumulant relations in free probability theory from Magnus’ expansion. Zbl 1501.46055Celestino, Adrian; Ebrahimi-Fard, Kurusch; Patras, Frédéric; Perales, Daniel 3 2022 Generating series for networks of Chen-Fliess series. Zbl 1454.93090Gray, W. Steven; Ebrahimi-Fard, Kurusch 2 2021 The Magnus expansion and post-Lie algebras. Zbl 1450.34015Curry, Charles; Ebrahimi-Fard, Kurusch; Owren, Brynjulf 2 2020 Iterated-sums signature, quasisymmetric functions and time series analysis. Zbl 1447.05236Diehl, Joscha; Ebrahimi-Fard, Kurusch; Tapia, Nikolas 2 2020 Combinatorics and physics. Mini-workshop on renormalization, December 15–16, 2006, Conference on combinatorics and physics, March 19–23, 2007, Bonn, Germany. Zbl 1214.81008 2 2011 Dendriform-tree setting for fully non-commutative Fliess operators. Zbl 1402.93088Duffaut Espinosa, Luis A.; Gray, W. Steven; Ebrahimi-Fard, Kurusch 2 2018 Relations between infinitesimal non-commutative cumulants. Zbl 1490.16074Celestino, Adrián; Ebrahimi-Fard, Kurusch; Perales, Daniel 2 2021 On non-commutative stochastic exponentials. Zbl 07136729Curry, Charles; Ebrahimi-Fard, Kurusch; Patras, Frédéric 1 2018 Renormalisation group for multiple zeta values. Zbl 1439.11220Ebrahimi-Fard, Kurusch; Manchon, Dominique; Singer, Johannes; Zhao, Jianqiang 1 2018 Center problem, Abel equation and the Faà di Bruno Hopf algebra for output feedback. Zbl 1405.34024Ebrahimi-Fard, Kurusch; Gray, W. Steven 1 2017 A Zassenhaus-type algorithm solves the Bogoliubov recursion. Zbl 1202.81159Ebrahimi-Fard, Kurusch; Patras, Frédéric 1 2008 Post-Lie Magnus expansion and BCH-recursion. Zbl 1500.16034Al-Kaabi, Mahdi J. Hasan; Ebrahimi-Fard, Kurusch; Manchon, Dominique 1 2022 Cumulant-cumulant relations in free probability theory from Magnus’ expansion. Zbl 1501.46055Celestino, Adrian; Ebrahimi-Fard, Kurusch; Patras, Frédéric; Perales, Daniel 3 2022 Post-Lie Magnus expansion and BCH-recursion. Zbl 1500.16034Al-Kaabi, Mahdi J. Hasan; Ebrahimi-Fard, Kurusch; Manchon, Dominique 1 2022 From iterated integrals and chronological calculus to Hopf and Rota-Baxter algebras. Zbl 1493.16029Ebrahimi-Fard, Kurusch; Patras, Frédéric 4 2021 Generating series for networks of Chen-Fliess series. Zbl 1454.93090Gray, W. Steven; Ebrahimi-Fard, Kurusch 2 2021 Relations between infinitesimal non-commutative cumulants. Zbl 1490.16074Celestino, Adrián; Ebrahimi-Fard, Kurusch; Perales, Daniel 2 2021 Time-warping invariants of multidimensional time series. Zbl 1460.62145Diehl, Joscha; Ebrahimi-Fard, Kurusch; Tapia, Nikolas 7 2020 Quasi-shuffle algebras and renormalisation of rough differential equations. Zbl 1457.16029Bruned, Yvain; Curry, Charles; Ebrahimi-Fard, Kurusch 5 2020 A group-theoretical approach to conditionally free cumulants. Zbl 1461.16034Ebrahimi-Fard, Kurusch; Patras, Frédéric 4 2020 Planarly branched rough paths and rough differential equations on homogeneous spaces. Zbl 1467.60088Curry, C.; Ebrahimi-Fard, K.; Manchon, D.; Munthe-Kaas, H. Z. 4 2020 Operads of (noncrossing) partitions, interacting bialgebras, and moment-cumulant relations. Zbl 1481.16039Ebrahimi-Fard, Kurusch; Foissy, Loïc; Kock, Joachim; Patras, Frédéric 4 2020 Hopf-algebraic deformations of products and Wick polynomials. Zbl 1476.16033Ebrahimi-Fard, Kurusch; Patras, Frédéric; Tapia, Nikolas; Zambotti, Lorenzo 3 2020 The Magnus expansion and post-Lie algebras. Zbl 1450.34015Curry, Charles; Ebrahimi-Fard, Kurusch; Owren, Brynjulf 2 2020 Iterated-sums signature, quasisymmetric functions and time series analysis. Zbl 1447.05236Diehl, Joscha; Ebrahimi-Fard, Kurusch; Tapia, Nikolas 2 2020 Shuffle group laws: applications in free probability. Zbl 1486.16036Ebrahimi-Fard, Kurusch; Patras, Frédéric 7 2019 Algebraic structures and stochastic differential equations driven by Lévy processes. Zbl 1425.60055Curry, Charles; Ebrahimi-Fard, Kurusch; Malham, Simon J. A.; Wiese, Anke 3 2019 Monotone, free, and Boolean cumulants: a shuffle algebra approach. Zbl 1437.16023Ebrahimi-Fard, Kurusch; Patras, Frédéric 8 2018 What is a post-Lie algebra and why is it useful in geometric integration. Zbl 1431.65236Curry, Charles; Ebrahimi-Fard, Kurusch; Munthe-Kaas, Hans 6 2018 Dendriform-tree setting for fully non-commutative Fliess operators. Zbl 1402.93088Duffaut Espinosa, Luis A.; Gray, W. Steven; Ebrahimi-Fard, Kurusch 2 2018 On non-commutative stochastic exponentials. Zbl 07136729Curry, Charles; Ebrahimi-Fard, Kurusch; Patras, Frédéric 1 2018 Renormalisation group for multiple zeta values. Zbl 1439.11220Ebrahimi-Fard, Kurusch; Manchon, Dominique; Singer, Johannes; Zhao, Jianqiang 1 2018 Post-Lie algebras and factorization theorems. Zbl 1402.17021Ebrahimi-Fard, Kurusch; Mencattini, Igor; Munthe-Kaas, Hans 6 2017 The Hopf algebra of (\(q\)-)multiple polylogarithms with non-positive arguments. Zbl 1405.16042Ebrahimi-Fard, Kurusch; Manchon, Dominique; Singer, Johannes 5 2017 A comodule-bialgebra structure for word-series substitution and mould composition. Zbl 1385.16030Ebrahimi-Fard, Kurusch; Fauvet, Frédéric; Manchon, Dominique 5 2017 SISO output affine feedback transformation group and its Faà di Bruno Hopf algebra. Zbl 1361.93016Gray, W. Steven; Ebrahimi-Fard, Kurusch 4 2017 Discrete-time approximations of Fliess operators. Zbl 1369.93245Gray, W. Steven; Duffaut Espinosa, Luis A.; Ebrahimi-Fard, Kurusch 4 2017 Center problem, Abel equation and the Faà di Bruno Hopf algebra for output feedback. Zbl 1405.34024Ebrahimi-Fard, Kurusch; Gray, W. Steven 1 2017 The splitting process in free probability theory. Zbl 1404.46056Ebrahimi-Fard, Kurusch; Patras, Frédéric 11 2016 Duality and (\(q\)-)multiple zeta values. Zbl 1355.11087Ebrahimi-Fard, Kurusch; Manchon, Dominique; Singer, Johannes 6 2016 A combinatorial Hopf algebra for nonlinear output feedback control systems. Zbl 1341.93020Duffaut Espinosa, Luis A.; Ebrahimi-Fard, Kurusch; Gray, W. Steven 6 2016 Renormalisation of \(q\)-regularised multiple zeta values. Zbl 1405.11108Ebrahimi-Fard, Kurusch; Manchon, Dominique; Singer, Johannes 4 2016 Cumulants, free cumulants and half-shuffles. Zbl 1371.46071Ebrahimi-Fard, Kurusch; Patras, Frédéric 16 2015 On the Lie enveloping algebra of a post-Lie algebra. Zbl 1360.17015Ebrahimi-Fard, Kurusch; Lundervold, Alexander; Munthe-Kaas, Hans Z. 15 2015 Post-Lie algebras and isospectral flows. Zbl 1369.17005Ebrahimi-Fard, Kurusch; Lundervold, Alexander; Mencattini, Igor; Munthe-Kaas, Hans Z. 13 2015 Unfolding the double shuffle structure of \(q\)-multiple zeta values. Zbl 1379.11076Castillo-Medina, Jaime; Ebrahimi-Fard, Kurusch; Manchon, Dominique 12 2015 The exponential Lie series for continuous semimartingales. Zbl 1371.60113Ebrahimi-Fard, Kurusch; Malham, Simon J. A.; Patras, Frederic; Wiese, Anke 8 2015 On Euler’s decomposition formula for \(q\)MZVs. Zbl 1381.11080Castillo-Medina, Jaime; Ebrahimi-Fard, Kurusch; Manchon, Dominique 5 2015 Flows and stochastic Taylor series in Itô calculus. Zbl 1416.60058Ebrahimi-Fard, Kurusch; Malham, Simon J. A.; Patras, Frédéric; Wiese, Anke 5 2015 Faà di Bruno Hopf algebra of the output feedback group for multivariable Fliess operators. Zbl 1300.93056Gray, W. Steven; Duffaut Espinosa, Luis A.; Ebrahimi-Fard, Kurusch 7 2014 Noncommutative Bell polynomials, quasideterminants and incidence Hopf algebras. Zbl 1309.16023Ebrahimi-Fard, Kurusch; Lundervold, Alexander; Manchon, Dominique 7 2014 The Magnus expansion, trees and Knuth’s rotation correspondence. Zbl 1331.17016Ebrahimi-Fard, Kurusch; Manchon, Dominique 6 2014 The pre-Lie structure of the time-ordered exponential. Zbl 1302.05206Ebrahimi-Fard, Kurusch; Patras, Frédéric 6 2014 Lévy processes and quasi-shuffle algebras. Zbl 1337.60152Curry, Charles; Ebrahimi-Fard, Kurusch; Malham, Simon J. A.; Wiese, Anke 5 2014 On an extension of Knuth’s rotation correspondence to reduced planar trees. Zbl 1307.05048Ebrahimi-Fard, Kurusch; Manchon, Dominique 5 2014 The tridendriform structure of a discrete Magnus expansion. Zbl 1292.17029Ebrahimi-Fard, Kurusch; Manchon, Dominique 4 2014 The combinatorial structure of integral calculus. (La structure combinatoire du calcul intégral.) Zbl 1358.05036Ebrahimi-Fard, Kurusch; Patras, Frédéric 6 2013 Time-ordering and a generalized Magnus expansion. Zbl 1282.34016Bauer, Michel; Chetrite, Raphael; Ebrahimi-Fard, Kurusch; Patras, Frédéric 3 2013 Algebraic structure of stochastic expansions and efficient simulation. Zbl 1371.60102Ebrahimi-Fard, Kurusch; Lundervold, Alexander; Malham, Simon J. A.; Munthe-Kaas, Hans; Wiese, Anke 7 2012 Exponential renormalisation. II: Bogoliubov’s \(R\)-operation and momentum subtraction schemes. Zbl 1278.81131Ebrahimi-Fard, Kurusch; Patras, Frédéric 3 2012 Two interacting Hopf algebras of trees: a Hopf-algebraic approach to composition and substitution of B-series. Zbl 1235.16032Calaque, Damien; Ebrahimi-Fard, Kurusch; Manchon, Dominique 37 2011 Twisted dendriform algebras and the pre-Lie Magnus expansion. Zbl 1254.17002Ebrahimi-Fard, Kurusch; Manchon, Dominique 9 2011 Combinatorics and physics. Mini-workshop on renormalization, December 15–16, 2006, Conference on combinatorics and physics, March 19–23, 2007, Bonn, Germany. Zbl 1214.81008 2 2011 Exponential renormalization. Zbl 1208.81152Ebrahimi-Fard, Kurusch; Patras, Frédéric 7 2010 A Magnus- and Fer-type formula in dendriform algebras. Zbl 1173.17002Ebrahimi-Fard, Kurusch; Manchon, Dominique 27 2009 A noncommutative Bohnenblust-Spitzer identity for Rota-Baxter algebras solves Bogoliubov’s recursion. Zbl 1171.81412Ebrahimi-Fard, Kurusch; Manchon, Dominique; Patras, Frédéric 23 2009 Dendriform equations. Zbl 1229.17001Ebrahimi-Fard, Kurusch; Manchon, Dominique 19 2009 The combinatorics of Bogoliubov’s recursion in renormalization. Zbl 1207.81081Ebrahimi-Fard, Kurusch; Manchon, Dominique 5 2009 Generalized shuffles related to Nijenhuis and TD-algebras. Zbl 1189.17006Ebrahimi-Fard, Kurusch; Leroux, Philippe 3 2009 Rota-Baxter algebras and dendriform algebras. Zbl 1132.16032Ebrahimi-Fard, Kurusch; Guo, Li 60 2008 Free Rota-Baxter algebras and rooted trees. Zbl 1154.16026Ebrahimi-Fard, Kurusch; Li, Guo 35 2008 New identities in dendriform algebras. Zbl 1153.17003Ebrahimi-Fard, Kurusch; Manchon, Dominique; Patras, Frédéric 18 2008 Multiple zeta values and Rota-Baxter algebras. Zbl 1173.11048Ebrahimi-Fard, Kurusch; Guo, Li 11 2008 A Zassenhaus-type algorithm solves the Bogoliubov recursion. Zbl 1202.81159Ebrahimi-Fard, Kurusch; Patras, Frédéric 1 2008 A Lie theoretic approach to renormalization. Zbl 1136.81395Ebrahimi-Fard, Kurusch; Gracia-Bondía, José M.; Patras, Frédéric 33 2007 Rota-Baxter algebras and new combinatorial identities. Zbl 1121.05008Ebrahimi-Fard, Kurusch; Gracia-Bondía, José M.; Patras, Frédéric 19 2007 Rota-Baxter algebras in renormalization of perturbative quantum field theory. Zbl 1148.81018Ebrahimi-Fard, Kurusch; Guo, Li 17 2007 Hopf algebras in dynamical systems theory. Zbl 1178.37023Cariñena, José F.; Ebrahimi-Fard, Kurusch; Figueroa, Héctor; Gracia-Bondía, José M. 7 2007 Coherent unit actions on regular operads and Hopf algebras. Zbl 1135.18007Ebrahimi-Fard, Kurusch; Guo, Li 6 2007 Mixable shuffles, quasi-shuffles and Hopf algebras. Zbl 1103.16025Ebrahimi-Fard, Kurusch; Guo, Li 42 2006 Birkhoff type decompositions and the Baker-Campbell-Hausdorff recursion. Zbl 1188.17020Ebrahimi-Fard, Kurusch; Guo, Li; Manchon, Dominique 32 2006 On matrix differential equations in the Hopf algebra of renormalization. Zbl 1141.81026Ebrahimi-Fard, Kurusch; Manchon, Dominique 8 2006 Combinatorics of renormalization as matrix calculus. Zbl 1247.81319Ebrahimi-Fard, Kurusch; Gracia-Bondía, José M.; Guo, Li; Várilly, Joseph C. 8 2006 Integrable renormalization. II: The general case. Zbl 1077.81052Ebrahimi-Fard, Kurusch; Guo, Li 38 2005 The Hopf algebra approach to Feynman diagram calculations. Zbl 1092.81051Ebrahimi-Fard, Kurusch; Kreimer, Dirk 21 2005 On products and duality of binary, quadratic, regular operads. Zbl 1082.18007Ebrahimi-Fard, Kurusch; Guo, Li 16 2005 Spitzer’s identity and the algebraic Birkhoff decomposition in pQFT. Zbl 1062.81113Ebrahimi-Fard, Kurusch; Guo, Li; Kreimer, Dirk 52 2004 Integrable renormalization. I: The ladder case. Zbl 1071.81063Ebrahimi-Fard, Kurusch; Guo, Li; Kreimer, Dirk 19 2004 On the associative Nijenhuis relation. Zbl 1074.17001Ebrahimi-Fard, Kurusch 10 2004 Loday-type algebras and the Rota-Baxter relation. Zbl 1035.17001Ebrahimi-Fard, K. 82 2002 all cited Publications top 5 cited Publications all top 5 Cited by 337 Authors 50 Ebrahimi-Fard, Kurusch 50 Guo, Li 28 Manchon, Dominique 25 Patras, Frédéric 18 Gao, Xing 16 Bai, Chengming 12 Foissy, Loïc 10 Thibon, Jean-Yves 10 Zhuchok, Anatolii V. 9 Gubarev, Vsevolod Yur’evich 9 Sheng, Yunhe 8 Chen, Yuqun 8 Gray, W. Steven 8 Novelli, Jean-Christophe 8 Zhang, Yi 7 Burde, Dietrich 7 Makhlouf, Abdenacer 7 Menous, Frédéric 6 Belhaj Mohamed, Mohamed 6 Bruned, Yvain 6 Curry, Charles 6 Gracia-Bondía, José M. 6 Jian, Runqiang 6 Munthe-Kaas, Hans Z. 6 Ni, Xiang 5 Friz, Peter Karl 5 Kock, Joachim 5 Li, Yunnan 5 Liu, Jiefeng 5 Paycha, Sylvie 5 Peng, Xiao-Song 5 Qiu, Jianjun 5 Shojaei-Fard, Ali 5 Singer, Johannes Maria 5 Yeats, Karen A. 5 Zhang, Bin 4 Celestino, Adrián 4 Chen, Dan 4 Luo, Yan Feng 4 Mabrouk, Sami 4 Madariaga, Sara 4 Malham, Simon J. A. 4 Marcolli, Matilde 4 Panaite, Florin 4 Perales, Daniel 4 Sanz-Serna, Jesús María 4 Tapia, Nikolas 4 Yu, Houyi 4 Zambotti, Lorenzo 4 Zhang, Yuanyuan 3 Agarwala, Susama 3 Bachmann, Henrik 3 Bogfjellmo, Geir 3 Bokut, Leonid A. 3 Bonfiglioli, Andrea 3 Bremner, Murray R. 3 Chapoton, Frédéric 3 Chevyrev, Ilya 3 Chtioui, Taoufik 3 Diehl, Joscha 3 Duffaut Espinosa, Luis A. 3 Josuat-Vergès, Matthieu 3 Kaygorodov, Ivan 3 Kreimer, Dirk 3 Ma, Tianshui 3 Malvenuto, Claudia 3 McLachlan, Robert I. 3 Mencattini, Igor 3 Moens, Wolfgang Alexander 3 Rosenkranz, Markus 3 Saïdi, Abdellatif 3 Schmeding, Alexander 3 Tang, Xiaomin 3 Wiese, Anke 3 Zhang, Tianjie 3 Zhang, Xigou 3 Zhao, Jianqiang 2 Al-Kaabi, Mahdi J. Hasan 2 Alamo, A. 2 Bagherzadeh, Fatemeh 2 Ben Hassine, Abdelkader 2 Blute, Richard F. 2 Bouillot, Olivier 2 Chen, Liangyun 2 Clavier, Pierre J. 2 Cockett, J. Robin B. 2 Das, Apurba 2 Dekimpe, Karel 2 Ender, Christof 2 Fauvet, Frédéric 2 Figueroa, Héctor 2 Gilliers, Nicolas 2 Hairer, Martin 2 Heinrich, Gudrun 2 Karimjanov, Ikboljon Abdulazizovich 2 Katriel, Jacob 2 Keigher, William F. 2 Khudoyberdiyev, Abror Kh. 2 Kolesnikov, Pavel Sergeevich 2 Kryklia, Yana A. ...and 237 more Authors all top 5 Cited in 129 Serials 34 Journal of Algebra 19 Communications in Algebra 16 Journal of Algebra and its Applications 14 Letters in Mathematical Physics 12 Communications in Mathematical Physics 12 Journal of Mathematical Physics 11 Journal of Pure and Applied Algebra 10 Journal of Algebraic Combinatorics 10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 9 Advances in Mathematics 9 Foundations of Computational Mathematics 8 Advances in Applied Mathematics 6 Journal of Geometry and Physics 5 Linear and Multilinear Algebra 5 International Journal of Algebra and Computation 5 Advances in Mathematical Physics 4 International Journal of Modern Physics A 4 Journal of Number Theory 4 Numerische Mathematik 4 Semigroup Forum 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 International Journal of Geometric Methods in Modern Physics 4 Journal of Noncommutative Geometry 4 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 3 Colloquium Mathematicum 3 Journal of Symbolic Computation 3 Linear Algebra and its Applications 3 The Ramanujan Journal 3 Communications in Contemporary Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Mathematics in Computer Science 3 International Electronic Journal of Algebra (IEJA) 3 Science China. Mathematics 2 Annales de l’Institut Fourier 2 Journal of Combinatorial Theory. Series A 2 Journal of Functional Analysis 2 Journal für die Reine und Angewandte Mathematik 2 Pacific Journal of Mathematics 2 Siberian Mathematical Journal 2 Systems & Control Letters 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Applied Categorical Structures 2 Algebra Colloquium 2 The Electronic Journal of Combinatorics 2 Journal of Lie Theory 2 Discrete and Continuous Dynamical Systems 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Oberwolfach Reports 2 Frontiers of Mathematics in China 2 Communications in Mathematics 2 Forum of Mathematics, Sigma 1 Modern Physics Letters A 1 Computer Physics Communications 1 Discrete Mathematics 1 Physics Letters. B 1 Physics Reports 1 Reports on Mathematical Physics 1 Ukrainian Mathematical Journal 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Algebra and Logic 1 Algebra Universalis 1 The Annals of Probability 1 Applied Mathematics and Computation 1 Automatica 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Functiones et Approximatio. Commentarii Mathematici 1 Inventiones Mathematicae 1 Journal of Differential Equations 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Numerical Analysis 1 Bulletin of the Korean Mathematical Society 1 Acta Applicandae Mathematicae 1 Physica D 1 International Journal of Mathematics 1 The Annals of Applied Probability 1 Annals of Physics 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 Bulletin des Sciences Mathématiques 1 Theory and Applications of Categories 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Electronic Journal of Probability 1 Bernoulli 1 Documenta Mathematica 1 Journal of Mathematical Chemistry 1 Séminaire Lotharingien de Combinatoire 1 Vietnam Journal of Mathematics 1 Matematychni Studiï 1 Algebras and Representation Theory 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series ...and 29 more Serials all top 5 Cited in 46 Fields 225 Associative rings and algebras (16-XX) 154 Nonassociative rings and algebras (17-XX) 98 Combinatorics (05-XX) 72 Quantum theory (81-XX) 40 Category theory; homological algebra (18-XX) 37 Number theory (11-XX) 30 Probability theory and stochastic processes (60-XX) 26 Commutative algebra (13-XX) 24 Ordinary differential equations (34-XX) 23 General algebraic systems (08-XX) 22 Group theory and generalizations (20-XX) 17 Numerical analysis (65-XX) 16 Functional analysis (46-XX) 13 Computer science (68-XX) 12 Dynamical systems and ergodic theory (37-XX) 10 Partial differential equations (35-XX) 9 Special functions (33-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 8 Field theory and polynomials (12-XX) 8 Topological groups, Lie groups (22-XX) 7 Differential geometry (53-XX) 7 Systems theory; control (93-XX) 5 Algebraic geometry (14-XX) 5 Statistics (62-XX) 4 Approximations and expansions (41-XX) 4 Integral equations (45-XX) 4 Operator theory (47-XX) 3 Mathematical logic and foundations (03-XX) 3 Convex and discrete geometry (52-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Sequences, series, summability (40-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Abstract harmonic analysis (43-XX) 2 Information and communication theory, circuits (94-XX) 1 \(K\)-theory (19-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) Citations by Year