Kurusch Ebrahimi-Fard

Publications: 2002-2009

Kurusch Ebrahimi-Fard

Publications

"Two interacting Hopf algebras of trees. A Hopf-algebraic approach to composition and substitution of B-series", (D. Calaque, K.E.-F., D. Manchon), accepted for publictaion in Advances in Applied Mathematics, August 2009.
"Dendriform Equations", (K.E.-F., D. Manchon), Journal of Algebra 322, (2009) 4053-4079. (online version), June 2009.
"Generalized shuffles related to Nijenhuis and TD-algebras", (K.E.-F., P. Leroux), Communications in Algebra, Volume 37, Issue 9, 2009, 3064-3094 .
"A noncommutative Bohnenblust-Spitzer identity for Rota-Baxter algebras solves Bogoliubov's recursion", (K.E.-F., D. Manchon F. Patras), Journal of Noncommutative Geometry, Vol. 3, Issue 2 (2009), 181-222.
"Free Rota-Baxter algebras and rooted trees", (K.E.-F., L. Guo), Journal of Algebra and Its Applications, Vol. 7, No. 2 (2008) 167-194.
"A Magnus- and Fer-type formula in dendriform algebras", (K.E.-F., D. Manchon), Foundations of Computational Mathematics, Volume 9, Issue3 (2009), 295.
"New identities in dendriform algebras", (K.E.-F., D. Manchon, F. Patras), Journal of Algebra 320, (2008) 708-727.
"Rota-Baxter algebras and multiple zeta values", (K.E.-F., L. Guo), Integers, Volume 8(2) (2008) Proceedings of CANT 2005 in Honor of Mel Nathanson.
"Coherent unit actions on regular operads and Hopf algebras ", (K.E.-F., L. Guo), Theory and Applications of Categories, Vol. 18, no. 13, (2007), 348-371.
"Rota-Baxter algebras and new combinatorial identities", (K.E.-F., J.M. Gracia-Bondia, F. Patras), Letters in Mathematical Physics, 81, (2007), 61-75.
"Rota-Baxter Algebras and Dendriform Algebras", (K.E.-F., L. Guo), Journal of Pure and Applied Algebra, 212, Issue 2, (2008), 320-339.
"A Lie theoretic approach to renormalization", (K.E.-F., J.M. Gracia-Bondia, F. Patras), Comm. in Math. Phys., 276, no.2, (2007), 519-549.
"Hopf algebras in dynamical systems theory", (J. Carinena, K.E.-F., H. Figueroa, J.M. Gracia-Bondia), International Journal of Geometric Methods in Modern Physics, Vol. 4, No. 4, (2007), 577-646.
"On matrix differential equations in the Hopf algebra of renormalization", (K.E.-F., D. Manchon), Adv. Theor. Math. Phys., 10, (2006), 879-913.
"Rota-Baxter Algebras in Renormalization of Perturbative Quantum Field Theory", (K.E.-F., L. Guo), Fields Institute Communications, 50, (2007), 47-105.
"Birkhoff type decompositions and the Baker-Campbell-Hausdorff recursion"(math-ph/0602004), (K.E.-F., L. Guo, D. Manchon), Comm. in Math. Phys., 267, no.3, (2006), 821-845.
"Quasi-shuffles, Mixable Shuffles and Hopf Algebras" (math.RA/0506418), (K.E.-F., L. Guo), J. Algebraic Combinatorics, 24, no 1, (2006), 83-101.
"Combinatorics of renormalization as matrix calculus", (K.E.-F., J.M. Gracia-Bondia, L. Guo, J.C. Varilly), Phys. Lett. B, 632, no 4, 552-558, 2006.
"Hopf algebra approach to Feynman diagram calculations", (K.E.-F., D. Kreimer), J. Phys. A: Math. Gen., 38, (2005), R385-R406.
"The Spitzer Identity", (K.E.-F., L. Guo), contribution to the Encyclopaedia of Mathematics", July 2005.
"On Products and Duality of Binary, Quadratic, Regular Operads" ,(K.E.-F., L. Guo), Journal of Pure and Applied Algebra, 200, (2005), 293-317.
"Integrable Renormalization II: the General case", (K.E.-F., L. Guo, D. Kreimer), Ann. H. Poincaré, 6, (2005), 369-395.
"Integrable Renormalization I: the Ladder case", (K.E.-F., L. Guo, D. Kreimer), J. Math. Phys., 45, No 10, (October 2004), 3758-3769.
"Spitzer's Identity and the Algebraic Birkhoff Decomposition in pQFT", (K.E.-F., L. Guo, D. Kreimer), J. Phys. A: Math. Gen., 37, (2004), 11037-11052.
"On the associative Nijenhuis Relation", The Electronic Journal of Combinatorics, Volume 11(1), (2004), R38.
"Loday-type Algebras and the Rota-Baxter Relation", Lett. Math. Phys., 61, (2002), 139-147.
"On the relation between modular theory and geometry", J. Phys. A: Math. Gen., 35, No 30, (2 August 2002), 6319-6328.

pre-publications: [arXiv]
"Twisted dendriform algebras and the pre-Lie Magnus expansion", (K.E.-F., D. Manchon), preprint 10/2009.
"Matrix Representation of Renormalization in Perturbative Quantum Field Theory", (K.E.-F., L. Guo), preprint 08/2005.

Conference Proceedings:
"On the Insertion-Elimination Lie algebra of Feynman graphs", (K.E.-F., D. Kreimer, I. Mencattini)
Proceedings of V International Workshop "Lie Theory and Its Applications in Physics", (Varna, June 2003), eds. H.-D. Doebner and V.K. Dobrev, (World Sci, Singapore, 2004, ISBN 981-238-936-9).
"The combinatorics of Bogoliubov's recursion in renormalization", (K.E.-F., D. Manchon).
CIRM 2006 workshop "Renormalization and Galois Theory", Org. F. Fauvet, J.-P. Ramis
"A Zassenhaus-type algorithm solves the Bogoliubov recursion", (K.E.-F., F. Patras)
Proceedings [.pdf] of VII International Workshop "Lie Theory and Its Applications in Physics", (Varna, June 2007), eds. H.-D. Doebner and V.K. Dobrev.