2025

• Ebrahimi-Fard, Kurusch; Mencattini, Igor; Quesney, Alexandre. (2025) WHAT IS THE MAGNUS EXPANSION?. Journal of Computational Dynamics
  Academic article
• Celledoni, Elena; Ebrahimi-Fard, Kurusch; Zanna, Antonella Munthe-Kaas. (2025) SPECIAL ISSUE ON THEORETICAL AND COMPUTATIONAL ASPECTS OF DYNAMICAL SYSTEMS. PART II. Journal of Computational Dynamics
  Academic article
• Al-Kaabi, Mahdi Jasim Hasan; Ebrahimi-Fard, Kurusch; Manchon, Dominique; Munthe-Kaas, Hans Zanna. (2025) Algebraic aspects of connections: From torsion, curvature, and post-Lie algebras to Gavrilov’s double exponential and special polynomials. Journal of Noncommutative Geometry
  Academic article
• Ebrahimi-Fard, Kurusch; Rahm, Charles Olov Ludwig. (2025) A SURVEY ON THE MUNTHE-KAAS–WRIGHT HOPF ALGEBRA. Journal of Computational Dynamics
  Academic article
• Caudillo Amador, Diego de Jesus; Diehl, Joscha; Ebrahimi-Fard, Kurusch; Verri, Emanuele. (2025) Graph Profiles as Characters on Bicommutative Hopf Algebras. Graphs and Combinatorics
  Academic article
• Bruned, Yvain; Ebrahimi-Fard, Kurusch; Hou, Yingtong. (2025) Multi-indice B-series. Journal of the London Mathematical Society
  Academic article
• Ebrahimi-Fard, Kurusch; Diehl, Joscha; Tindel, Samy; Harang, Fabian Andsem. (2025) On the Signature of an Image. Stochastic Processes and their Applications
  Academic article

2024

• Celledoni, Elena; Ebrahimi-Fard, Kurusch; Munthe-Kaas, Antonella Zanna. (2024) Preface: SPECIAL ISSUE ON THEORETICAL AND COMPUTATIONAL ASPECTS OF DYNAMICAL SYSTEMS. PART I. Journal of Computational Dynamics
  Article in business/trade/industry journal
• Gray, W. Steven; Ebrahimi-Fard, Kurusch; Schmeding, Alexander. (2024) Decompositions of nonlinear input–output systems to zero the output. Systems & control letters (Print)
  Academic article
• Chevyrev, Ilya; Ebrahimi-Fard, Kurusch; Patras, Frédéric. (2024) Algebraic groups in non-commutative probability theory revisited. Infinite Dimensional Analysis Quantum Probability and Related Topics
  Academic article
• Al-Kaabi, Mahdi Jasim Hasan; Ebrahimi-Fard, Kurusch; Manchon, Dominique. (2024) Free post-groups, post-groups from group actions, and post-Lie algebras. Journal of Geometry and Physics
  Academic article
• Balduf, Paul-Hermann; Cantwell, Amelia; Ebrahimi-Fard, Kurusch; Nabergall, Lukas; Olson-Harris, Nicholas; Yeats, Karen. (2024) Tubings, chord diagrams, and Dyson–Schwinger equations. Journal of the London Mathematical Society
  Academic article
• Ebrahimi-Fard, Kurusch; Ringeard, Timothé. (2024) Planar Binary Trees, Noncrossing Partitions and the Operator-Valued S-Transform. Annals of Combinatorics
  Academic article
• Celestino, Adrián; Ebrahimi-Fard, Kurusch. (2024) Conditionally monotone cumulants via shuffle algebra. Infinite Dimensional Analysis Quantum Probability and Related Topics
  Academic article
• Ebrahimi-Fard, Kurusch; Fløystad, Gunnar. (2024) Eight Times Four Bialgebras of Hypergraphs, Cointeractions, and Chromatic Polynomials. International Mathematics Research Notices (IMRN)
  Academic article

2023

• Gray, W. Steven; Ebrahimi-Fard, Kurusch; Schmeding, Alexander. (2023) Zeroing the Output of Nonlinear Systems Without Relative Degree. IEEE conference proceedings
  Academic chapter/article/Conference paper
• Diehl, Joscha; Ebrahimi-Fard, Kurusch; Tapia, Nikolas. (2023) Generalized iterated-sums signatures. Journal of Algebra
  Academic article
• Ebrahimi-Fard, Kurusch; Patra, Frédéric; Tapia, Nikolas; Zambotti, Lorenzo. (2023) Shifted Substitution in Non-Commutative Multivariate Power Series with a View Toward Free Probability. SIGMA. Symmetry, Integrability and Geometry
  Academic article
• Celestino Rodriguez, Adrian de Jesus; Ebrahimi-Fard, Kurusch; Nica, Alexandru; Perales, Daniel; Witzman, Leon. (2023) Multiplicative and semi-multiplicative functions on non-crossing partitions, and relations to cumulants. Advances in Applied Mathematics
  Academic article

2022

• Caudillo, Diego; Diehl, Joscha; Ebrahimi-Fard, Kurusch; Verri, Emanuele. (2022) Graph counting signatures and bicommutative Hopf algebras. arXiv
  Academic article
• Diehl, Joscha; Ebrahimi-Fard, Kurusch; Tapia, Nikolas. (2022) Tropical Time Series, Iterated-Sums Signatures, and Quasisymmetric Functions. SIAM Journal on applied algebra and geometry
  Academic article
• Al-Kaabi, Mahdi J. Hasan; Ebrahimi-Fard, Kurusch; Manchon, Dominique. (2022) Post-Lie Magnus Expansion and BCH-Recursion. SIGMA. Symmetry, Integrability and Geometry
  Academic article

2021

• Ebrahimi-Fard, Kurusch; Gray, W. Steven; Schmeding, Alexander. (2021) Universal Zero Dynamics: The SISO Case. IEEE (Institute of Electrical and Electronics Engineers) IEEE (Institute of Electrical and Electronics Engineers)
  Report
• Ebrahimi-Fard, Kurusch; Patras, Frederic. (2021) From iterated integrals and chronological calculus to Hopf and Rota-Baxter algebras . John Wiley & Sons
  Academic chapter/article/Conference paper
• Ebrahimi-Fard, Kurusch; Patras, Frédéric; Tapia, Nikolas; Zambotti, Lorenzo. (2021) Wick polynomials in non-commutative probability: A group-theoretical approach. Canadian Journal of Mathematics (CJM)
  Academic article
• Celestino Rodriguez, Adrian de Jesus; Ebrahimi-Fard, Kurusch; Patras, Frédéric; Perales, Daniel. (2021) Cumulant–Cumulant Relations in Free Probability Theory from Magnus’ Expansion. Foundations of Computational Mathematics
  Academic article
• Gray, W. Steven; Ebrahimi-Fard, Kurusch. (2021) Generating series for networks of Chen–Fliess series. Systems & control letters (Print)
  Academic article
• Ebrahimi-Fard, Kurusch; Celestino Rodriguez, Adrian de Jesus; Perales Anaya, Daniel. (2021) Relations between Infinitesimal Non-Commutative Cumulants. Documenta Mathematica
  Academic article

2020

• Ebrahimi-Fard, Kurusch; Gray, W. Steven; Manchon, Dominique. (2020) Evaluating Generating Functions for Periodic Multiple Polylogarithms via Rational Chen–Fliess Series. Springer Proceedings in Mathematics & Statistics
  Academic article
• Ebrahimi-Fard, Kurusch; Foissy, Loïc; Kock, Joachim; Patras, Frédéric. (2020) Operads of (noncrossing) partitions, interacting bialgebras, and moment-cumulant relations. Advances in Mathematics
  Academic article
• Diehl, Joscha; Ebrahimi-Fard, Kurusch; Tapia, Nikolas. (2020) Time-warping invariants of multidimensional time series. Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications
  Academic article
• Curry, Charles Henry Alexander; Ebrahimi-Fard, Kurusch; Owren, Brynjulf. (2020) The Magnus expansion and post-Lie algebras. Mathematics of Computation
  Academic article
• Ebrahimi-Fard, Kurusch; Patras, Frédéric; Tapia, Nikolas; Zambotti, Lorenzo. (2020) Hopf-algebraic deformations of products and Wick polynomials. International Mathematics Research Notices (IMRN)
  Academic article
• Curry, Charles Henry Alexander; Ebrahimi-Fard, Kurusch; Manchon, Dominique; Munthe-Kaas, Hans Zanna. (2020) Planarly branched rough paths and rough differential equations on homogeneous spaces. Journal of Differential Equations
  Academic article

2019

• Curry, Charles Henry Alexander; Ebrahimi-Fard, Kurusch; Munthe-Kaas, Hans. (2019) What is a post-Lie algebra and why is it useful in geometric integration. Lecture Notes in Computational Science and Engineering
  Academic article
• Curry, Charles Henry Alexander; Ebrahimi-Fard, Kurusch; Malham, Simon J. A.; Wiese, Anke. (2019) Algebraic structures and stochastic differential equations driven by Levy processes. Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences
  Academic article
• Ebrahimi-Fard, Kurusch; Patras, Frederic. (2019) Shuffle group laws: applications in free probability. Proceedings of the London Mathematical Society
  Academic article
• Curry, Charles Henry Alexander; Ebrahimi-Fard, Kurusch; Patras, Frederic. (2019) On non-commutative stochastic exponentials. Lecture Notes in Computational Science and Engineering
  Academic article
• Ebrahimi-Fard, Kurusch; Gray, W. Steven. (2019) The Faá di Bruno Hopf algebra for multivariable feedback recursions in the center problem for higher order Abel equations. Abel Symposia
  Academic article
• Bruned, Yvain; Curry, Charles Henry Alexander; Ebrahimi-Fard, Kurusch. (2019) Quasi-shuffle algebras and renormalisation of rough differential equations. Bulletin of the London Mathematical Society
  Academic article

2018

• Ebrahimi-Fard, Kurusch; Barbero Liñan, Maria. (2018) Discrete Mechanics, Geometric Integration and Lie–Butcher Series. Springer Publishing Company Springer Proceedings in Mathematics & Statistics (1)
  Academic anthology/Conference proceedings
• Curry, Charles Henry Alexander; Ebrahimi-Fard, Kurusch; Owren, Brynjulf. (2018) The Magnus expansion and Post-Lie algebras. arXiv.org
  Academic article
• Celledoni, Elena; Di Nunno, Giulia; Ebrahimi-Fard, Kurusch; Munthe-Kaas, Hans. (2018) Computation and Combinatorics in Dynamics, Stochastics and Control. Springer Abel Symposia (1)
  Academic anthology/Conference proceedings
• Ebrahimi-Fard, Kurusch; Patras, Frederic. (2018) Monotone, free, and boolean cumulants: a shuffle algebra approach. Advances in Mathematics
  Academic article
• Ebrahimi-Fard, Kurusch; Manchon, Dominique; Singer, Johannes; Zhao, Jianqang. (2018) Renormalisation group for multiple zeta values. Communications in Number Theory and Physics
  Academic article

2017

• Gray, W Steven; Duffaut Espinosa, Luis A.; Ebrahimi-Fard, Kurusch. (2017) Discrete-Time Approximations of Fliess Operators. Numerische Mathematik
  Academic article
• Ebrahimi-Fard, Kurusch; Mencattini, Igor; Munthe-Kaas, Hans. (2017) Post-Lie algebras and factorization theorems. Journal of Geometry and Physics
  Academic article
• Ebrahimi-Fard, Kurusch; Gray, Steven. (2017) Center problem, Abel equation and the Faa di Bruno Hopf algebra for output feedback. International Mathematics Research Notices (IMRN)
  Academic article
• Ebrahimi-Fard, Kurusch; Fauvet, Frederic; Manchon, Dominique. (2017) A comodule-bialgebra structure for word-series substitution and mould composition. Journal of Algebra
  Academic article
• Ebrahimi-Fard, Kurusch; Patras, Frederic; Speicher, Roland. (2017) ϵ-Noncrossing Partitions and Cumulants in Free Probability. International Mathematics Research Notices (IMRN)
  Academic article
• Gray, Steven; Ebrahimi-Fard, Kurusch. (2017) SISO Output Affine Feedback Transformation Group and Its Faa di Bruno Hopf Algebra. SIAM Journal of Control and Optimization
  Academic article

2016

• Duffaut-Espinosa, Luis; Gray, Steven; Ebrahimi-Fard, Kurusch. (2016) Dendriform–Tree Setting for Fliess Operators. IMA Journal of Mathematical Control and Information
  Academic article

2015

• Ebrahimi-Fard, Kurusch; Patras, Frederic. (2015) Cumulants, free cumulants and half-shuffles. Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences
  Academic article
• Ebrahimi-Fard, Kurusch; Alvarez-Consul, Luis; Burgos Gil, Jose Ignacio. (2015) Feynman Amplitudes, Periods and Motives. American Mathematical Society (AMS) Contemporary Mathematics (1)
  Academic anthology/Conference proceedings

2011

• Ebrahimi-Fard, Kurusch; Marcolli, Matilde; van Suijlek, Walter D.. (2011) Combinatorics and Physics. American Mathematical Society (AMS) Contemporary Mathematics (1)
  Academic anthology/Conference proceedings