Edit Profile (opens in new tab) Ebrahimi-Fard, Kurusch Co-Author Distance Author ID: ebrahimi-fard.kurusch Published as: Ebrahimi-Fard, Kurusch; Ebrahimi-Fard, K. Homepage: http://www.icmat.es/kurusch/personal External Links: MGP · ORCID Videos: carmin.tv Documents Indexed: 119 Publications since 2002, including 25 Additional arXiv Preprints 9 Contributions as Editor Co-Authors: 70 Co-Authors with 125 Joint Publications 1,448 Co-Co-Authors all top 5 Co-Authors 3 single-authored 31 Patras, Frédéric 28 Manchon, Dominique 13 Gray, W. Steven 12 Guo, Li 8 Munthe-Kaas, Hans Z. 8 Tapia, Nikolas 7 Diehl, Joscha 6 Curry, Charles 5 Duffaut Espinosa, Luis A. 5 Gracia-Bondía, José M. 5 Malham, Simon J. A. 5 Mencattini, Igor 5 Singer, Johannes Maria 5 Wiese, Anke 4 Celestino, Adrián 4 Kreimer, Dirk 4 Lundervold, Alexander 3 Al-Kaabi, Mahdi Jasim Hasan 3 Bruned, Yvain 3 Burgos Gil, José Ignacio 3 Perales, Daniel 3 Zambotti, Lorenzo 2 Bordemann, Martin 2 Castillo-Medina, Jaime 2 Celledoni, Elena 2 Chevyrev, Ilya 2 Fauvet, Frédéric 2 Foissy, Loïc 2 Kock, Joachim 2 Makhlouf, Abdenacer 2 Ringeard, Timothe 2 Schlichenmaier, Martin 2 Schmeding, Alexander 2 Waldmann, Stefan 2 Zhao, Jianqiang 1 Álvarez-Cónsul, Luis 1 Balduf, Paul-Hermann 1 Barbero-Liñán, María 1 Bauer, Michel 1 Calaque, Damien 1 Cantwell, Amelia 1 Cariñena, José F. 1 Caudillo, Diego 1 Chetrite, Raphaël 1 Di Nunno, Giulia 1 Figueroa, Héctor 1 Fløystad, Gunnar 1 Gangl, Herbert 1 Gilliers, Nicolas 1 Harang, Fabian 1 Hou, Yingtong 1 Leroux, Philippe 1 Li, Guo 1 Marcolli, Matilde 1 Nabergall, Lukas 1 Nica, Alexandru 1 Olson-Harris, Nicholas 1 Owren, Brynjulf 1 Quesney, Alexandre 1 Rahm, Ludwig 1 S., Venkatesh G. 1 Speicher, Roland 1 Tindel, Samy 1 van Suijlekom, Walter Daniël 1 Várilly, Joseph C. 1 Venkatesh, G. S. 1 Verri, Emanuele 1 Witzman, Leon 1 Yeats, Karen A. 1 Zanna, Antonella all top 5 Serials 5 Letters in Mathematical Physics 5 Journal of Algebra 5 IMRN. International Mathematics Research Notices 3 Advances in Mathematics 3 Journal of Pure and Applied Algebra 3 Systems & Control Letters 3 Journal of Physics A: Mathematical and General 3 Foundations of Computational Mathematics 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Communications in Mathematical Physics 2 Journal of Mathematical Physics 2 Journal of Geometry and Physics 2 Advances in Applied Mathematics 2 Annales Henri Poincaré 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 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 Markov Processes and Related Fields 1 Advances in Theoretical and Mathematical Physics 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 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 Journal of Computational Dynamics 1 Proceedings A. Royal Society of London 1 SIAM Journal on Applied Algebra and Geometry all top 5 Fields 76 Associative rings and algebras (16-XX) 39 Nonassociative rings and algebras (17-XX) 29 Quantum theory (81-XX) 25 Combinatorics (05-XX) 20 Functional analysis (46-XX) 14 Probability theory and stochastic processes (60-XX) 12 Ordinary differential equations (34-XX) 11 Number theory (11-XX) 11 Systems theory; control (93-XX) 8 General and overarching topics; collections (00-XX) 8 Numerical analysis (65-XX) 7 Category theory; homological algebra (18-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 Topological groups, Lie groups (22-XX) 5 Special functions (33-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Algebraic geometry (14-XX) 3 History and biography (01-XX) 3 Statistics (62-XX) 2 Partial differential equations (35-XX) 2 Differential geometry (53-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-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 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 85 Publications have been cited 1,184 times in 482 Documents Cited by ▼ Year ▼ Loday-type algebras and the Rota-Baxter relation. Zbl 1035.17001 Ebrahimi-Fard, K. 97 2002 Rota-Baxter algebras and dendriform algebras. Zbl 1132.16032 Ebrahimi-Fard, Kurusch; Guo, Li 75 2008 Spitzer’s identity and the algebraic Birkhoff decomposition in pQFT. Zbl 1062.81113 Ebrahimi-Fard, Kurusch; Guo, Li; Kreimer, Dirk 61 2004 Two interacting Hopf algebras of trees: a Hopf-algebraic approach to composition and substitution of B-series. Zbl 1235.16032 Calaque, Damien; Ebrahimi-Fard, Kurusch; Manchon, Dominique 51 2011 Mixable shuffles, quasi-shuffles and Hopf algebras. Zbl 1103.16025 Ebrahimi-Fard, Kurusch; Guo, Li 47 2006 A Lie theoretic approach to renormalization. Zbl 1136.81395 Ebrahimi-Fard, Kurusch; Gracia-Bondía, José M.; Patras, Frédéric 41 2007 Free Rota-Baxter algebras and rooted trees. Zbl 1154.16026 Ebrahimi-Fard, Kurusch; Li, Guo 40 2008 Integrable renormalization. II: The general case. Zbl 1077.81052 Ebrahimi-Fard, Kurusch; Guo, Li 39 2005 Birkhoff type decompositions and the Baker-Campbell-Hausdorff recursion. Zbl 1188.17020 Ebrahimi-Fard, Kurusch; Guo, Li; Manchon, Dominique 37 2006 A Magnus- and Fer-type formula in dendriform algebras. Zbl 1173.17002 Ebrahimi-Fard, Kurusch; Manchon, Dominique 31 2009 A noncommutative Bohnenblust-Spitzer identity for Rota-Baxter algebras solves Bogoliubov’s recursion. Zbl 1171.81412 Ebrahimi-Fard, Kurusch; Manchon, Dominique; Patras, Frédéric 28 2009 Cumulants, free cumulants and half-shuffles. Zbl 1371.46071 Ebrahimi-Fard, Kurusch; Patras, Frédéric 26 2015 On the Lie enveloping algebra of a post-Lie algebra. Zbl 1360.17015 Ebrahimi-Fard, Kurusch; Lundervold, Alexander; Munthe-Kaas, Hans Z. 25 2015 Dendriform equations. Zbl 1229.17001 Ebrahimi-Fard, Kurusch; Manchon, Dominique 25 2009 The Hopf algebra approach to Feynman diagram calculations. Zbl 1092.81051 Ebrahimi-Fard, Kurusch; Kreimer, Dirk 23 2005 New identities in dendriform algebras. Zbl 1153.17003 Ebrahimi-Fard, Kurusch; Manchon, Dominique; Patras, Frédéric 22 2008 Integrable renormalization. I: The ladder case. Zbl 1071.81063 Ebrahimi-Fard, Kurusch; Guo, Li; Kreimer, Dirk 21 2004 Rota-Baxter algebras and new combinatorial identities. Zbl 1121.05008 Ebrahimi-Fard, Kurusch; Gracia-Bondía, José M.; Patras, Frédéric 20 2007 The splitting process in free probability theory. Zbl 1404.46056 Ebrahimi-Fard, Kurusch; Patras, Frédéric 18 2016 On products and duality of binary, quadratic, regular operads. Zbl 1082.18007 Ebrahimi-Fard, Kurusch; Guo, Li 17 2005 Rota-Baxter algebras in renormalization of perturbative quantum field theory. Zbl 1148.81018 Ebrahimi-Fard, Kurusch; Guo, Li 17 2007 Post-Lie algebras and isospectral flows. Zbl 1369.17005 Ebrahimi-Fard, Kurusch; Lundervold, Alexander; Mencattini, Igor; Munthe-Kaas, Hans Z. 17 2015 Unfolding the double shuffle structure of \(q\)-multiple zeta values. Zbl 1379.11076 Castillo-Medina, Jaime; Ebrahimi-Fard, Kurusch; Manchon, Dominique 17 2015 Monotone, free, and Boolean cumulants: a shuffle algebra approach. Zbl 1437.16023 Ebrahimi-Fard, Kurusch; Patras, Frédéric 15 2018 On the associative Nijenhuis relation. Zbl 1074.17001 Ebrahimi-Fard, Kurusch 14 2004 Faà di Bruno Hopf algebra of the output feedback group for multivariable Fliess operators. Zbl 1300.93056 Gray, W. Steven; Duffaut Espinosa, Luis A.; Ebrahimi-Fard, Kurusch 13 2014 Multiple zeta values and Rota-Baxter algebras. Zbl 1173.11048 Ebrahimi-Fard, Kurusch; Guo, Li 12 2008 Time-warping invariants of multidimensional time series. Zbl 1460.62145 Diehl, Joscha; Ebrahimi-Fard, Kurusch; Tapia, Nikolas 12 2020 The exponential Lie series for continuous semimartingales. Zbl 1371.60113 Ebrahimi-Fard, Kurusch; Malham, Simon J. A.; Patras, Frederic; Wiese, Anke 12 2015 Twisted dendriform algebras and the pre-Lie Magnus expansion. Zbl 1254.17002 Ebrahimi-Fard, Kurusch; Manchon, Dominique 10 2011 Noncommutative Bell polynomials, quasideterminants and incidence Hopf algebras. Zbl 1309.16023 Ebrahimi-Fard, Kurusch; Lundervold, Alexander; Manchon, Dominique 10 2014 A combinatorial Hopf algebra for nonlinear output feedback control systems. Zbl 1341.93020 Duffaut Espinosa, Luis A.; Ebrahimi-Fard, Kurusch; Gray, W. Steven 10 2016 Shuffle group laws: applications in free probability. Zbl 1486.16036 Ebrahimi-Fard, Kurusch; Patras, Frédéric 10 2019 Planarly branched rough paths and rough differential equations on homogeneous spaces. Zbl 1467.60088 Curry, C.; Ebrahimi-Fard, K.; Manchon, D.; Munthe-Kaas, H. Z. 10 2020 What is a post-Lie algebra and why is it useful in geometric integration. Zbl 1431.65236 Curry, Charles; Ebrahimi-Fard, Kurusch; Munthe-Kaas, Hans 10 2018 The pre-Lie structure of the time-ordered exponential. Zbl 1302.05206 Ebrahimi-Fard, Kurusch; Patras, Frédéric 9 2014 Combinatorics of renormalization as matrix calculus. Zbl 1247.81319 Ebrahimi-Fard, Kurusch; Gracia-Bondía, José M.; Guo, Li; Várilly, Joseph C. 9 2006 Hopf algebras in dynamical systems theory. Zbl 1178.37023 Cariñena, José F.; Ebrahimi-Fard, Kurusch; Figueroa, Héctor; Gracia-Bondía, José M. 8 2007 On matrix differential equations in the Hopf algebra of renormalization. Zbl 1141.81026 Ebrahimi-Fard, Kurusch; Manchon, Dominique 8 2006 Flows and stochastic Taylor series in Itô calculus. Zbl 1416.60058 Ebrahimi-Fard, Kurusch; Malham, Simon J. A.; Patras, Frédéric; Wiese, Anke 8 2015 Duality and (\(q\)-)multiple zeta values. Zbl 1355.11087 Ebrahimi-Fard, Kurusch; Manchon, Dominique; Singer, Johannes 8 2016 The Magnus expansion, trees and Knuth’s rotation correspondence. Zbl 1331.17016 Ebrahimi-Fard, Kurusch; Manchon, Dominique 8 2014 Exponential renormalization. Zbl 1208.81152 Ebrahimi-Fard, Kurusch; Patras, Frédéric 8 2010 Hopf-algebraic deformations of products and Wick polynomials. Zbl 1476.16033 Ebrahimi-Fard, Kurusch; Patras, Frédéric; Tapia, Nikolas; Zambotti, Lorenzo 8 2020 Algebraic structure of stochastic expansions and efficient simulation. Zbl 1371.60102 Ebrahimi-Fard, Kurusch; Lundervold, Alexander; Malham, Simon J. A.; Munthe-Kaas, Hans; Wiese, Anke 8 2012 Post-Lie algebras and factorization theorems. Zbl 1402.17021 Ebrahimi-Fard, Kurusch; Mencattini, Igor; Munthe-Kaas, Hans 8 2017 On an extension of Knuth’s rotation correspondence to reduced planar trees. Zbl 1307.05048 Ebrahimi-Fard, Kurusch; Manchon, Dominique 7 2014 Lévy processes and quasi-shuffle algebras. Zbl 1337.60152 Curry, Charles; Ebrahimi-Fard, Kurusch; Malham, Simon J. A.; Wiese, Anke 7 2014 The combinatorial structure of integral calculus. (La structure combinatoire du calcul intégral.) Zbl 1358.05036 Ebrahimi-Fard, Kurusch; Patras, Frédéric 7 2013 Quasi-shuffle algebras and renormalisation of rough differential equations. Zbl 1457.16029 Bruned, Yvain; Curry, Charles; Ebrahimi-Fard, Kurusch 7 2020 Coherent unit actions on regular operads and Hopf algebras. Zbl 1135.18007 Ebrahimi-Fard, Kurusch; Guo, Li 6 2007 On Euler’s decomposition formula for \(q\)MZVs. Zbl 1381.11080 Castillo-Medina, Jaime; Ebrahimi-Fard, Kurusch; Manchon, Dominique 6 2015 Time-ordering and a generalized Magnus expansion. Zbl 1282.34016 Bauer, Michel; Chetrite, Raphael; Ebrahimi-Fard, Kurusch; Patras, Frédéric 6 2013 The Hopf algebra of (\(q\)-)multiple polylogarithms with non-positive arguments. Zbl 1405.16042 Ebrahimi-Fard, Kurusch; Manchon, Dominique; Singer, Johannes 6 2017 A comodule-bialgebra structure for word-series substitution and mould composition. Zbl 1385.16030 Ebrahimi-Fard, Kurusch; Fauvet, Frédéric; Manchon, Dominique 6 2017 SISO output affine feedback transformation group and its Faà di Bruno Hopf algebra. Zbl 1361.93016 Gray, W. Steven; Ebrahimi-Fard, Kurusch 6 2017 Cumulant-cumulant relations in free probability theory from Magnus’ expansion. Zbl 1501.46055 Celestino, Adrian; Ebrahimi-Fard, Kurusch; Patras, Frédéric; Perales, Daniel 6 2022 From iterated integrals and chronological calculus to Hopf and Rota-Baxter algebras. Zbl 1493.16029 Ebrahimi-Fard, Kurusch; Patras, Frédéric 6 2021 The Magnus expansion and post-Lie algebras. Zbl 1450.34015 Curry, Charles; Ebrahimi-Fard, Kurusch; Owren, Brynjulf 6 2020 The tridendriform structure of a discrete Magnus expansion. Zbl 1292.17029 Ebrahimi-Fard, Kurusch; Manchon, Dominique 5 2014 A group-theoretical approach to conditionally free cumulants. Zbl 1461.16034 Ebrahimi-Fard, Kurusch; Patras, Frédéric 5 2020 The combinatorics of Bogoliubov’s recursion in renormalization. Zbl 1207.81081 Ebrahimi-Fard, Kurusch; Manchon, Dominique 5 2009 Algebraic structures and stochastic differential equations driven by Lévy processes. Zbl 1425.60055 Curry, Charles; Ebrahimi-Fard, Kurusch; Malham, Simon J. A.; Wiese, Anke 5 2019 Renormalisation of \(q\)-regularised multiple zeta values. Zbl 1405.11108 Ebrahimi-Fard, Kurusch; Manchon, Dominique; Singer, Johannes 4 2016 \(\epsilon\)-noncrossing partitions and cumulants in free probability. Zbl 1430.46048 Ebrahimi-Fard, Kurusch; Patras, Frédéric; Speicher, Roland 4 2018 Discrete-time approximations of Fliess operators. Zbl 1369.93245 Gray, W. Steven; Duffaut Espinosa, Luis A.; Ebrahimi-Fard, Kurusch 4 2017 Post-Lie Magnus expansion and BCH-recursion. Zbl 1500.16034 Al-Kaabi, Mahdi J. Hasan; Ebrahimi-Fard, Kurusch; Manchon, Dominique 4 2022 Operads of (noncrossing) partitions, interacting bialgebras, and moment-cumulant relations. Zbl 1481.16039 Ebrahimi-Fard, Kurusch; Foissy, Loïc; Kock, Joachim; Patras, Frédéric 4 2020 Generalized shuffles related to Nijenhuis and TD-algebras. Zbl 1189.17006 Ebrahimi-Fard, Kurusch; Leroux, Philippe 4 2009 Exponential renormalisation. II: Bogoliubov’s \(R\)-operation and momentum subtraction schemes. Zbl 1278.81131 Ebrahimi-Fard, Kurusch; Patras, Frédéric 3 2012 A Zassenhaus-type algorithm solves the Bogoliubov recursion. Zbl 1202.81159 Ebrahimi-Fard, Kurusch; Patras, Frédéric 3 2008 Center problem, Abel equation and the Faà di Bruno Hopf algebra for output feedback. Zbl 1405.34024 Ebrahimi-Fard, Kurusch; Gray, W. Steven 3 2017 Generating series for networks of Chen-Fliess series. Zbl 1454.93090 Gray, W. Steven; Ebrahimi-Fard, Kurusch 3 2021 Relations between infinitesimal non-commutative cumulants. Zbl 1490.16074 Celestino, Adrián; Ebrahimi-Fard, Kurusch; Perales, Daniel 3 2021 Discrete mechanics, geometric integration and Lie-Butcher series. DMGILBS, Madrid, Spain, May 2015. Zbl 1410.70003 2 2018 Dendriform-tree setting for fully non-commutative Fliess operators. Zbl 1402.93088 Duffaut Espinosa, Luis A.; Gray, W. Steven; Ebrahimi-Fard, Kurusch 2 2018 Renormalisation group for multiple zeta values. Zbl 1439.11220 Ebrahimi-Fard, Kurusch; Manchon, Dominique; Singer, Johannes; Zhao, Jianqiang 2 2018 Quasi-shuffle algebras in non-commutative stochastic calculus. Zbl 1499.60167 Ebrahimi-Fard, Kurusch; Patras, Frédéric 2 2021 Wick polynomials in noncommutative probability: a group-theoretical approach. Zbl 1506.17002 Ebrahimi-Fard, Kurusch; Patras, Frédéric; Tapia, Nikolas; Zambotti, Lorenzo 2 2022 Tropical time series, iterated-sums signatures, and quasisymmetric functions. Zbl 1502.62089 Diehl, Joscha; Ebrahimi-Fard, Kurusch; Tapia, Nikolas 2 2022 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 Harmonium as a laboratory for mathematical chemistry. Zbl 1318.92050 Ebrahimi-Fard, Kurusch; Gracia-Bondía, José M. 2 2012 Iterated-sums signature, quasisymmetric functions and time series analysis. Zbl 1447.05236 Diehl, Joscha; Ebrahimi-Fard, Kurusch; Tapia, Nikolas 2 2020 Faà di Bruno Hopf algebras, Dyson-Schwinger equations, and Lie-Butcher series. Based on a conference hosted by IRMA, Strasbourg, France, June 27–July 1, 2011. Zbl 1318.16001 1 2015 On non-commutative stochastic exponentials. Zbl 07136729 Curry, Charles; Ebrahimi-Fard, Kurusch; Patras, Frédéric 1 2018 Cumulant-cumulant relations in free probability theory from Magnus’ expansion. Zbl 1501.46055 Celestino, Adrian; Ebrahimi-Fard, Kurusch; Patras, Frédéric; Perales, Daniel 6 2022 Post-Lie Magnus expansion and BCH-recursion. Zbl 1500.16034 Al-Kaabi, Mahdi J. Hasan; Ebrahimi-Fard, Kurusch; Manchon, Dominique 4 2022 Wick polynomials in noncommutative probability: a group-theoretical approach. Zbl 1506.17002 Ebrahimi-Fard, Kurusch; Patras, Frédéric; Tapia, Nikolas; Zambotti, Lorenzo 2 2022 Tropical time series, iterated-sums signatures, and quasisymmetric functions. Zbl 1502.62089 Diehl, Joscha; Ebrahimi-Fard, Kurusch; Tapia, Nikolas 2 2022 From iterated integrals and chronological calculus to Hopf and Rota-Baxter algebras. Zbl 1493.16029 Ebrahimi-Fard, Kurusch; Patras, Frédéric 6 2021 Generating series for networks of Chen-Fliess series. Zbl 1454.93090 Gray, W. Steven; Ebrahimi-Fard, Kurusch 3 2021 Relations between infinitesimal non-commutative cumulants. Zbl 1490.16074 Celestino, Adrián; Ebrahimi-Fard, Kurusch; Perales, Daniel 3 2021 Quasi-shuffle algebras in non-commutative stochastic calculus. Zbl 1499.60167 Ebrahimi-Fard, Kurusch; Patras, Frédéric 2 2021 Time-warping invariants of multidimensional time series. Zbl 1460.62145 Diehl, Joscha; Ebrahimi-Fard, Kurusch; Tapia, Nikolas 12 2020 Planarly branched rough paths and rough differential equations on homogeneous spaces. Zbl 1467.60088 Curry, C.; Ebrahimi-Fard, K.; Manchon, D.; Munthe-Kaas, H. Z. 10 2020 Hopf-algebraic deformations of products and Wick polynomials. Zbl 1476.16033 Ebrahimi-Fard, Kurusch; Patras, Frédéric; Tapia, Nikolas; Zambotti, Lorenzo 8 2020 Quasi-shuffle algebras and renormalisation of rough differential equations. Zbl 1457.16029 Bruned, Yvain; Curry, Charles; Ebrahimi-Fard, Kurusch 7 2020 The Magnus expansion and post-Lie algebras. Zbl 1450.34015 Curry, Charles; Ebrahimi-Fard, Kurusch; Owren, Brynjulf 6 2020 A group-theoretical approach to conditionally free cumulants. Zbl 1461.16034 Ebrahimi-Fard, Kurusch; Patras, Frédéric 5 2020 Operads of (noncrossing) partitions, interacting bialgebras, and moment-cumulant relations. Zbl 1481.16039 Ebrahimi-Fard, Kurusch; Foissy, Loïc; Kock, Joachim; Patras, Frédéric 4 2020 Iterated-sums signature, quasisymmetric functions and time series analysis. Zbl 1447.05236 Diehl, Joscha; Ebrahimi-Fard, Kurusch; Tapia, Nikolas 2 2020 Shuffle group laws: applications in free probability. Zbl 1486.16036 Ebrahimi-Fard, Kurusch; Patras, Frédéric 10 2019 Algebraic structures and stochastic differential equations driven by Lévy processes. Zbl 1425.60055 Curry, Charles; Ebrahimi-Fard, Kurusch; Malham, Simon J. A.; Wiese, Anke 5 2019 Monotone, free, and Boolean cumulants: a shuffle algebra approach. Zbl 1437.16023 Ebrahimi-Fard, Kurusch; Patras, Frédéric 15 2018 What is a post-Lie algebra and why is it useful in geometric integration. Zbl 1431.65236 Curry, Charles; Ebrahimi-Fard, Kurusch; Munthe-Kaas, Hans 10 2018 \(\epsilon\)-noncrossing partitions and cumulants in free probability. Zbl 1430.46048 Ebrahimi-Fard, Kurusch; Patras, Frédéric; Speicher, Roland 4 2018 Discrete mechanics, geometric integration and Lie-Butcher series. DMGILBS, Madrid, Spain, May 2015. Zbl 1410.70003 2 2018 Dendriform-tree setting for fully non-commutative Fliess operators. Zbl 1402.93088 Duffaut Espinosa, Luis A.; Gray, W. Steven; Ebrahimi-Fard, Kurusch 2 2018 Renormalisation group for multiple zeta values. Zbl 1439.11220 Ebrahimi-Fard, Kurusch; Manchon, Dominique; Singer, Johannes; Zhao, Jianqiang 2 2018 On non-commutative stochastic exponentials. Zbl 07136729 Curry, Charles; Ebrahimi-Fard, Kurusch; Patras, Frédéric 1 2018 Post-Lie algebras and factorization theorems. Zbl 1402.17021 Ebrahimi-Fard, Kurusch; Mencattini, Igor; Munthe-Kaas, Hans 8 2017 The Hopf algebra of (\(q\)-)multiple polylogarithms with non-positive arguments. Zbl 1405.16042 Ebrahimi-Fard, Kurusch; Manchon, Dominique; Singer, Johannes 6 2017 A comodule-bialgebra structure for word-series substitution and mould composition. Zbl 1385.16030 Ebrahimi-Fard, Kurusch; Fauvet, Frédéric; Manchon, Dominique 6 2017 SISO output affine feedback transformation group and its Faà di Bruno Hopf algebra. Zbl 1361.93016 Gray, W. Steven; Ebrahimi-Fard, Kurusch 6 2017 Discrete-time approximations of Fliess operators. Zbl 1369.93245 Gray, 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 1405.34024 Ebrahimi-Fard, Kurusch; Gray, W. Steven 3 2017 The splitting process in free probability theory. Zbl 1404.46056 Ebrahimi-Fard, Kurusch; Patras, Frédéric 18 2016 A combinatorial Hopf algebra for nonlinear output feedback control systems. Zbl 1341.93020 Duffaut Espinosa, Luis A.; Ebrahimi-Fard, Kurusch; Gray, W. Steven 10 2016 Duality and (\(q\)-)multiple zeta values. Zbl 1355.11087 Ebrahimi-Fard, Kurusch; Manchon, Dominique; Singer, Johannes 8 2016 Renormalisation of \(q\)-regularised multiple zeta values. Zbl 1405.11108 Ebrahimi-Fard, Kurusch; Manchon, Dominique; Singer, Johannes 4 2016 Cumulants, free cumulants and half-shuffles. Zbl 1371.46071 Ebrahimi-Fard, Kurusch; Patras, Frédéric 26 2015 On the Lie enveloping algebra of a post-Lie algebra. Zbl 1360.17015 Ebrahimi-Fard, Kurusch; Lundervold, Alexander; Munthe-Kaas, Hans Z. 25 2015 Post-Lie algebras and isospectral flows. Zbl 1369.17005 Ebrahimi-Fard, Kurusch; Lundervold, Alexander; Mencattini, Igor; Munthe-Kaas, Hans Z. 17 2015 Unfolding the double shuffle structure of \(q\)-multiple zeta values. Zbl 1379.11076 Castillo-Medina, Jaime; Ebrahimi-Fard, Kurusch; Manchon, Dominique 17 2015 The exponential Lie series for continuous semimartingales. Zbl 1371.60113 Ebrahimi-Fard, Kurusch; Malham, Simon J. A.; Patras, Frederic; Wiese, Anke 12 2015 Flows and stochastic Taylor series in Itô calculus. Zbl 1416.60058 Ebrahimi-Fard, Kurusch; Malham, Simon J. A.; Patras, Frédéric; Wiese, Anke 8 2015 On Euler’s decomposition formula for \(q\)MZVs. Zbl 1381.11080 Castillo-Medina, Jaime; Ebrahimi-Fard, Kurusch; Manchon, Dominique 6 2015 Faà di Bruno Hopf algebras, Dyson-Schwinger equations, and Lie-Butcher series. Based on a conference hosted by IRMA, Strasbourg, France, June 27–July 1, 2011. Zbl 1318.16001 1 2015 Faà di Bruno Hopf algebra of the output feedback group for multivariable Fliess operators. Zbl 1300.93056 Gray, W. Steven; Duffaut Espinosa, Luis A.; Ebrahimi-Fard, Kurusch 13 2014 Noncommutative Bell polynomials, quasideterminants and incidence Hopf algebras. Zbl 1309.16023 Ebrahimi-Fard, Kurusch; Lundervold, Alexander; Manchon, Dominique 10 2014 The pre-Lie structure of the time-ordered exponential. Zbl 1302.05206 Ebrahimi-Fard, Kurusch; Patras, Frédéric 9 2014 The Magnus expansion, trees and Knuth’s rotation correspondence. Zbl 1331.17016 Ebrahimi-Fard, Kurusch; Manchon, Dominique 8 2014 On an extension of Knuth’s rotation correspondence to reduced planar trees. Zbl 1307.05048 Ebrahimi-Fard, Kurusch; Manchon, Dominique 7 2014 Lévy processes and quasi-shuffle algebras. Zbl 1337.60152 Curry, Charles; Ebrahimi-Fard, Kurusch; Malham, Simon J. A.; Wiese, Anke 7 2014 The tridendriform structure of a discrete Magnus expansion. Zbl 1292.17029 Ebrahimi-Fard, Kurusch; Manchon, Dominique 5 2014 The combinatorial structure of integral calculus. (La structure combinatoire du calcul intégral.) Zbl 1358.05036 Ebrahimi-Fard, Kurusch; Patras, Frédéric 7 2013 Time-ordering and a generalized Magnus expansion. Zbl 1282.34016 Bauer, Michel; Chetrite, Raphael; Ebrahimi-Fard, Kurusch; Patras, Frédéric 6 2013 Algebraic structure of stochastic expansions and efficient simulation. Zbl 1371.60102 Ebrahimi-Fard, Kurusch; Lundervold, Alexander; Malham, Simon J. A.; Munthe-Kaas, Hans; Wiese, Anke 8 2012 Exponential renormalisation. II: Bogoliubov’s \(R\)-operation and momentum subtraction schemes. Zbl 1278.81131 Ebrahimi-Fard, Kurusch; Patras, Frédéric 3 2012 Harmonium as a laboratory for mathematical chemistry. Zbl 1318.92050 Ebrahimi-Fard, Kurusch; Gracia-Bondía, José M. 2 2012 Two interacting Hopf algebras of trees: a Hopf-algebraic approach to composition and substitution of B-series. Zbl 1235.16032 Calaque, Damien; Ebrahimi-Fard, Kurusch; Manchon, Dominique 51 2011 Twisted dendriform algebras and the pre-Lie Magnus expansion. Zbl 1254.17002 Ebrahimi-Fard, Kurusch; Manchon, Dominique 10 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 1208.81152 Ebrahimi-Fard, Kurusch; Patras, Frédéric 8 2010 A Magnus- and Fer-type formula in dendriform algebras. Zbl 1173.17002 Ebrahimi-Fard, Kurusch; Manchon, Dominique 31 2009 A noncommutative Bohnenblust-Spitzer identity for Rota-Baxter algebras solves Bogoliubov’s recursion. Zbl 1171.81412 Ebrahimi-Fard, Kurusch; Manchon, Dominique; Patras, Frédéric 28 2009 Dendriform equations. Zbl 1229.17001 Ebrahimi-Fard, Kurusch; Manchon, Dominique 25 2009 The combinatorics of Bogoliubov’s recursion in renormalization. Zbl 1207.81081 Ebrahimi-Fard, Kurusch; Manchon, Dominique 5 2009 Generalized shuffles related to Nijenhuis and TD-algebras. Zbl 1189.17006 Ebrahimi-Fard, Kurusch; Leroux, Philippe 4 2009 Rota-Baxter algebras and dendriform algebras. Zbl 1132.16032 Ebrahimi-Fard, Kurusch; Guo, Li 75 2008 Free Rota-Baxter algebras and rooted trees. Zbl 1154.16026 Ebrahimi-Fard, Kurusch; Li, Guo 40 2008 New identities in dendriform algebras. Zbl 1153.17003 Ebrahimi-Fard, Kurusch; Manchon, Dominique; Patras, Frédéric 22 2008 Multiple zeta values and Rota-Baxter algebras. Zbl 1173.11048 Ebrahimi-Fard, Kurusch; Guo, Li 12 2008 A Zassenhaus-type algorithm solves the Bogoliubov recursion. Zbl 1202.81159 Ebrahimi-Fard, Kurusch; Patras, Frédéric 3 2008 A Lie theoretic approach to renormalization. Zbl 1136.81395 Ebrahimi-Fard, Kurusch; Gracia-Bondía, José M.; Patras, Frédéric 41 2007 Rota-Baxter algebras and new combinatorial identities. Zbl 1121.05008 Ebrahimi-Fard, Kurusch; Gracia-Bondía, José M.; Patras, Frédéric 20 2007 Rota-Baxter algebras in renormalization of perturbative quantum field theory. Zbl 1148.81018 Ebrahimi-Fard, Kurusch; Guo, Li 17 2007 Hopf algebras in dynamical systems theory. Zbl 1178.37023 Cariñena, José F.; Ebrahimi-Fard, Kurusch; Figueroa, Héctor; Gracia-Bondía, José M. 8 2007 Coherent unit actions on regular operads and Hopf algebras. Zbl 1135.18007 Ebrahimi-Fard, Kurusch; Guo, Li 6 2007 Mixable shuffles, quasi-shuffles and Hopf algebras. Zbl 1103.16025 Ebrahimi-Fard, Kurusch; Guo, Li 47 2006 Birkhoff type decompositions and the Baker-Campbell-Hausdorff recursion. Zbl 1188.17020 Ebrahimi-Fard, Kurusch; Guo, Li; Manchon, Dominique 37 2006 Combinatorics of renormalization as matrix calculus. Zbl 1247.81319 Ebrahimi-Fard, Kurusch; Gracia-Bondía, José M.; Guo, Li; Várilly, Joseph C. 9 2006 On matrix differential equations in the Hopf algebra of renormalization. Zbl 1141.81026 Ebrahimi-Fard, Kurusch; Manchon, Dominique 8 2006 Integrable renormalization. II: The general case. Zbl 1077.81052 Ebrahimi-Fard, Kurusch; Guo, Li 39 2005 The Hopf algebra approach to Feynman diagram calculations. Zbl 1092.81051 Ebrahimi-Fard, Kurusch; Kreimer, Dirk 23 2005 On products and duality of binary, quadratic, regular operads. Zbl 1082.18007 Ebrahimi-Fard, Kurusch; Guo, Li 17 2005 Spitzer’s identity and the algebraic Birkhoff decomposition in pQFT. Zbl 1062.81113 Ebrahimi-Fard, Kurusch; Guo, Li; Kreimer, Dirk 61 2004 Integrable renormalization. I: The ladder case. Zbl 1071.81063 Ebrahimi-Fard, Kurusch; Guo, Li; Kreimer, Dirk 21 2004 On the associative Nijenhuis relation. Zbl 1074.17001 Ebrahimi-Fard, Kurusch 14 2004 Loday-type algebras and the Rota-Baxter relation. Zbl 1035.17001 Ebrahimi-Fard, K. 97 2002 all cited Publications top 5 cited Publications all top 5 Cited by 437 Authors 59 Guo, Li 58 Ebrahimi-Fard, Kurusch 33 Manchon, Dominique 31 Patras, Frédéric 24 Gao, Xing 20 Bai, Chengming 13 Sheng, Yunhe 12 Foissy, Loïc 11 Gray, W. Steven 11 Thibon, Jean-Yves 10 Bruned, Yvain 10 Zhuchok, Anatolii V. 9 Burde, Dietrich 9 Gubarev, Vsevolod Yur’evich 9 Munthe-Kaas, Hans Z. 9 Zhang, Yi 8 Chen, Yuqun 8 Das, Apurba 8 Novelli, Jean-Christophe 8 Tapia, Nikolas 7 Friz, Peter 7 Makhlouf, Abdenacer 7 Menous, Frédéric 6 Belhaj Mohamed, Mohamed 6 Curry, Charles 6 Diehl, Joscha 6 Gracia-Bondía, José M. 6 Jian, Runqiang 6 Kock, Joachim 6 Li, Yunnan 6 Liu, Jiefeng 6 Ni, Xiang 6 Schmeding, Alexander 6 Zambotti, Lorenzo 5 Chevyrev, Ilya 5 Mabrouk, Sami 5 Malham, Simon J. A. 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 Chtioui, Taoufik 4 Kaygorodov, Ivan 4 Luo, Yan Feng 4 Madariaga, Sara 4 Marcolli, Matilde 4 McLachlan, Robert I. 4 Panaite, Florin 4 Perales, Daniel 4 Preiß, Rosa 4 Sanz-Serna, Jesús María 4 Silvestrov, Sergei D. 4 Sit, William Yu 4 Tang, Rong 4 Yu, Houyi 4 Zhang, Tianjie 4 Zhang, Yuanyuan 4 Zheng, Shanghua 3 Agarwala, Susama 3 Al-Kaabi, Mahdi Jasim Hasan 3 Bachmann, Henrik 3 Bellingeri, Carlo 3 Bogfjellmo, Geir 3 Bokut, Leonid A. 3 Bonfiglioli, Andrea 3 Bremner, Murray R. 3 Chapoton, Frédéric 3 Dekimpe, Karel 3 Duffaut Espinosa, Luis A. 3 Josuat-Vergès, Matthieu 3 Kreimer, Dirk 3 Laraiedh, Ismail 3 Ma, Tianshui 3 Malvenuto, Claudia 3 Mencattini, Igor 3 Moens, Wolfgang Alexander 3 Rosenkranz, Markus 3 Saïdi, Abdellatif 3 Tang, Xiaomin 3 Venkatesh, G. S. 3 Wiese, Anke 3 Zhang, Xigou 3 Zhao, Jianqiang 2 Aguiar, Marcelo 2 Alamo, A. 2 Alvarez, María Alejandra 2 Bagherzadeh, Fatemeh 2 Ben Hassine, Abdelkader 2 Blute, Richard F. 2 Bonnier, Patric 2 Bouillot, Olivier 2 Brindle, Benjamin 2 Cass, Thomas Richard 2 Chen, Liangyun 2 Chetrite, Raphaël ...and 337 more Authors all top 5 Cited in 152 Serials 37 Journal of Algebra 22 Communications in Algebra 18 Journal of Algebra and its Applications 14 Journal of Mathematical Physics 14 Letters in Mathematical Physics 13 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 12 Communications in Mathematical Physics 12 Journal of Pure and Applied Algebra 11 Advances in Mathematics 10 Journal of Algebraic Combinatorics 10 Foundations of Computational Mathematics 9 Journal of Geometry and Physics 8 Advances in Applied Mathematics 7 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions 6 International Journal of Algebra and Computation 6 Journal of Noncommutative Geometry 5 Linear and Multilinear Algebra 5 International Journal of Geometric Methods in Modern Physics 5 Journal of Physics A: Mathematical and Theoretical 5 Advances in Mathematical Physics 4 International Journal of Modern Physics A 4 Journal of Number Theory 4 Numerische Mathematik 4 Semigroup Forum 4 Journal of Symbolic Computation 4 The Ramanujan Journal 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Oberwolfach Reports 4 Forum of Mathematics, Sigma 3 Colloquium Mathematicum 3 Systems & Control Letters 3 Linear Algebra and its Applications 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Applied Categorical Structures 3 Journal of Lie Theory 3 Algebras and Representation Theory 3 Infinite Dimensional Analysis, Quantum Probability and Related Topics 3 Communications in Contemporary Mathematics 3 Journal of High Energy Physics 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 Physics Letters. A 2 Annales de l’Institut Fourier 2 Bulletin of the London Mathematical Society 2 Journal of Combinatorial Theory. Series A 2 Journal of Functional Analysis 2 Journal of the London Mathematical Society. Second Series 2 Journal für die Reine und Angewandte Mathematik 2 Memoirs of the American Mathematical Society 2 Pacific Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Proceedings of the London Mathematical Society. Third Series 2 Siberian Mathematical Journal 2 Bulletin of the Korean Mathematical Society 2 Physica D 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Algebra Colloquium 2 The Electronic Journal of Combinatorics 2 Electronic Journal of Probability 2 Discrete and Continuous Dynamical Systems 2 Documenta Mathematica 2 Annales Henri Poincaré 2 Algebra and Discrete Mathematics 2 Mediterranean Journal of Mathematics 2 Frontiers of Mathematics in China 2 Communications in Mathematics 2 Journal of Computational Dynamics 2 SIAM Journal on Applied Algebra and Geometry 2 Algebraic Combinatorics 1 Modern Physics Letters A 1 Computer Physics Communications 1 Discrete Mathematics 1 International Journal of Control 1 Nuclear Physics. B 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 Chaos, Solitons and Fractals 1 Acta Arithmetica 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 Collectanea Mathematica 1 Functiones et Approximatio. Commentarii Mathematici 1 Inventiones Mathematicae 1 Journal of Differential Equations 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematics and Computers in Simulation ...and 52 more Serials all top 5 Cited in 52 Fields 272 Associative rings and algebras (16-XX) 195 Nonassociative rings and algebras (17-XX) 121 Combinatorics (05-XX) 87 Quantum theory (81-XX) 50 Category theory; homological algebra (18-XX) 46 Probability theory and stochastic processes (60-XX) 44 Number theory (11-XX) 33 Commutative algebra (13-XX) 25 Ordinary differential equations (34-XX) 24 Functional analysis (46-XX) 22 General algebraic systems (08-XX) 22 Group theory and generalizations (20-XX) 22 Numerical analysis (65-XX) 16 Dynamical systems and ergodic theory (37-XX) 16 Computer science (68-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Field theory and polynomials (12-XX) 12 Partial differential equations (35-XX) 11 Topological groups, Lie groups (22-XX) 11 Systems theory; control (93-XX) 9 Special functions (33-XX) 9 Differential geometry (53-XX) 8 Algebraic geometry (14-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Statistics (62-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 General and overarching topics; collections (00-XX) 6 Operator theory (47-XX) 5 Approximations and expansions (41-XX) 5 Convex and discrete geometry (52-XX) 4 Mathematical logic and foundations (03-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Integral equations (45-XX) 4 Algebraic topology (55-XX) 3 Information and communication theory, circuits (94-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Difference and functional equations (39-XX) 2 Sequences, series, summability (40-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Abstract harmonic analysis (43-XX) 1 History and biography (01-XX) 1 \(K\)-theory (19-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year