Kurusch Ebrahimi-Fard
Bakgrunn og aktiviteter
Vitenskapelig, faglig og kunstnerisk arbeid
Et utvalg av nyere tidsskriftspublikasjoner, kunstneriske produksjoner, bok, inklusiv bokdeler og rapport-del. Se alle publikasjoner i databasen
Tidsskriftspublikasjoner
- (2021) Cumulant–Cumulant Relations in Free Probability Theory from Magnus’ Expansion. Foundations of Computational Mathematics.
- (2021) Wick polynomials in non-commutative probability: A group-theoretical approach. Canadian Journal of Mathematics (CJM).
- (2021) Generating series for networks of Chen–Fliess series. Systems & control letters (Print). vol. 147.
- (2020) Planarly branched rough paths and rough differential equations on homogeneous spaces. Journal of Differential Equations. vol. 269 (11).
- (2020) The Magnus expansion and post-Lie algebras. Mathematics of Computation. vol. 89 (326).
- (2020) Time-warping invariants of multidimensional time series. Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications. vol. 170 (1).
- (2020) Operads of (noncrossing) partitions, interacting bialgebras, and moment-cumulant relations. Advances in Mathematics. vol. 369.
- (2020) Hopf-algebraic deformations of products and Wick polynomials. International mathematics research notices. vol. 2020 (24).
- (2019) Quasi-shuffle algebras and renormalisation of rough differential equations. Bulletin of the London Mathematical Society.
- (2019) Algebraic structures and stochastic differential equations driven by Levy processes. Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences. vol. 475 (2221).
- (2019) What is a post-Lie algebra and why is it useful in geometric integration. Lecture Notes in Computational Science and Engineering. vol. 126.
- (2019) On non-commutative stochastic exponentials. Lecture Notes in Computational Science and Engineering. vol. 126.
- (2019) The Faá di Bruno Hopf algebra for multivariable feedback recursions in the center problem for higher order Abel equations. Abel Symposia. vol. 13.
- (2019) Shuffle group laws: applications in free probability. Proceedings of the London Mathematical Society. vol. 119 (3).
- (2018) The Magnus expansion and Post-Lie algebras. arXiv.org.
- (2018) Renormalisation group for multiple zeta values. Communications in Number Theory and Physics. vol. 12 (1).
- (2018) Monotone, free, and boolean cumulants: a shuffle algebra approach. Advances in Mathematics. vol. 328.
- (2017) A comodule-bialgebra structure for word-series substitution and mould composition. Journal of Algebra. vol. 489.
- (2017) Center problem, Abel equation and the Faa di Bruno Hopf algebra for output feedback. International mathematics research notices. vol. 2017 (17).
- (2017) Post-Lie algebras and factorization theorems. Journal of Geometry and Physics. vol. 119.