nLab Kurusch Ebrahimi-Fard

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Kurusch Ebrahimi-Fard is a German mathematician, currently working in Norway. His research is mainly concerned with combinatorial and algebraic structures in mathematical physics (e.g. in renormalization), in solving differential equations, in Lie theory and so on.

Selected writings

On Rota-Baxter algebra:

  • K. Ebrahimi-Fard, L. Guo, Rota-Baxter algebras and dendriform dialgebras, Jour. Pure Appl. Algebra 212 (2008), 320-339, arXiv:math/0503647

  • Kurusch Ebrahimi-Fard, Li Guo, Rota–Baxter algebras in renormalization of perturbative quantum field theory, In Universality and Renormalization, I. Binder and D. Kreimer, editors, Fields Institute Communicatins, v. 50, AMS 2007, 47-105, arXiv:hep-th/0604116.

  • K. Ebrahimi-Fard, L. Guo, D. Manchon, Birkhoff type decompositions and the Baker–Campbell–Hausdorff recursion, Comm. Math. Physics 267 (2006) 821-845, arXiv:math-ph/0602004

On the Magnus expansion:

Relating the Magnus expansion to the Dyson series:

On Dyson-Schwinger equations via chord diagrams:

On an application of Magnus expansion and Chen iterated integrals to surface signature (higher parallel transport) analogous to path signature:

Introductory survey of Magnus expansion:

  • Kurusch Ebrahimi-Fard, Igor Mencattini, Alexandre Quesney, What is the Magnus Expansion?, arXiv:2312.16674

Iterated sums and iterated integrals over semirings, where the case of tropical semirings is a central, with applications (including to machine learning):

On post-Lie algebras? and applications

  • Mahdi Jasim Hasan Al-Kaabi, Kurusch Ebrahimi-Fard, Dominique Manchon, Hans Z. Munthe-Kaas, Algebraic aspects of connections: From torsion, curvature, and post-Lie algebras to Gavrilov’s double exponential and special polynomials, J. Noncomm. Geom. doi arXiv:2205.04381
  • M. J. H. Al-Kaabi, K. Ebrahimi-Fard, D. Manchon, Post-Lie Magnus expansion and BCH- recursion, SIGMA 18, (2022), 023, 16 pages.
category: people

Last revised on August 30, 2024 at 12:17:36. See the history of this page for a list of all contributions to it.