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Kurusch Ebrahimi-Fard

Kurusch Ebrahimi-Fard

Professor
Institutt for matematiske fag

kurusch.ebrahimi-fard@ntnu.no
73593527 Sentralbygg 2, 1342, Gløshaugen, Alfred Getz' vei 1
Personal website arXiv publications
Om Publikasjoner Formidling

Om

Emner:

TMA4140 Diskret matematikk (H2022)
MA2501 Numeriske metoder (V2022)

 

Publikasjoner

  • Kronologisk
  • Etter kategori
  • Se alle publikasjoner i Cristin

2023

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

2022

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

2021

  • Ebrahimi-Fard, Kurusch; Celestino Rodriguez, Adrian de Jesus; Perales Anaya, Daniel. (2021) Relations between Infinitesimal Non-Commutative Cumulants. Documenta Mathematica
    Vitenskapelig artikkel
  • 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)
    Vitenskapelig artikkel
  • Ebrahimi-Fard, Kurusch; Patras, Frederic. (2021) From iterated integrals and chronological calculus to Hopf and Rota-Baxter algebras . John Wiley & Sons
    Vitenskapelig Kapittel/Artikkel/Konferanseartikkel
  • 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
    Vitenskapelig artikkel
  • Gray, W. Steven; Ebrahimi-Fard, Kurusch. (2021) Generating series for networks of Chen–Fliess series. Systems & control letters (Print)
    Vitenskapelig artikkel
  • 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)
    Rapport

2020

  • 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
    Vitenskapelig artikkel
  • Curry, Charles Henry Alexander; Ebrahimi-Fard, Kurusch; Owren, Brynjulf. (2020) The Magnus expansion and post-Lie algebras. Mathematics of Computation
    Vitenskapelig artikkel
  • 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
    Vitenskapelig artikkel
  • Ebrahimi-Fard, Kurusch; Foissy, Loïc; Kock, Joachim; Patras, Frédéric. (2020) Operads of (noncrossing) partitions, interacting bialgebras, and moment-cumulant relations. Advances in Mathematics
    Vitenskapelig artikkel
  • 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
    Vitenskapelig artikkel
  • Ebrahimi-Fard, Kurusch; Patras, Frédéric; Tapia, Nikolas; Zambotti, Lorenzo. (2020) Hopf-algebraic deformations of products and Wick polynomials. International Mathematics Research Notices (IMRN)
    Vitenskapelig artikkel

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
    Vitenskapelig artikkel
  • 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
    Vitenskapelig artikkel
  • 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
    Vitenskapelig artikkel
  • Ebrahimi-Fard, Kurusch; Patras, Frederic. (2019) Shuffle group laws: applications in free probability. Proceedings of the London Mathematical Society
    Vitenskapelig artikkel
  • 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
    Vitenskapelig artikkel
  • Curry, Charles Henry Alexander; Ebrahimi-Fard, Kurusch; Patras, Frederic. (2019) On non-commutative stochastic exponentials. Lecture Notes in Computational Science and Engineering
    Vitenskapelig artikkel

2018

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

2017

  • Ebrahimi-Fard, Kurusch; Patras, Frederic; Speicher, Roland. (2017) ϵ-Noncrossing Partitions and Cumulants in Free Probability. International Mathematics Research Notices (IMRN)
    Vitenskapelig artikkel
  • 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)
    Vitenskapelig artikkel
  • Ebrahimi-Fard, Kurusch; Fauvet, Frederic; Manchon, Dominique. (2017) A comodule-bialgebra structure for word-series substitution and mould composition. Journal of Algebra
    Vitenskapelig artikkel
  • Gray, W Steven; Duffaut Espinosa, Luis A.; Ebrahimi-Fard, Kurusch. (2017) Discrete-Time Approximations of Fliess Operators. Numerische Mathematik
    Vitenskapelig artikkel
  • Ebrahimi-Fard, Kurusch; Mencattini, Igor; Munthe-Kaas, Hans. (2017) Post-Lie algebras and factorization theorems. Journal of Geometry and Physics
    Vitenskapelig artikkel
  • 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
    Vitenskapelig artikkel

2016

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

2015

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

2011

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

Tidsskriftspublikasjoner

  • Diehl, Joscha; Ebrahimi-Fard, Kurusch; Tapia, Nikolas. (2023) Generalized iterated-sums signatures. Journal of Algebra
    Vitenskapelig artikkel
  • Ebrahimi-Fard, Kurusch; Patra, Frédéric; Zambotti, Lorenzo; Tapia, Nikolas. (2023) Shifted Substitution in Non-Commutative Multivariate Power Series with a View Toward Free Probability. SIGMA. Symmetry, Integrability and Geometry
    Vitenskapelig artikkel
  • Ebrahimi-Fard, Kurusch; Celestino, Adrián; Witzman, Leon; Perales, Daniel; Nica, Alexandru. (2023) Multiplicative and semi-multiplicative functions on non-crossing partitions, and relations to cumulants. Advances in Applied Mathematics
    Vitenskapelig artikkel
  • Caudillo, Diego; Diehl, Joscha; Ebrahimi-Fard, Kurusch; Verri, Emanuele. (2022) Graph counting signatures and bicommutative Hopf algebras. arXiv
    Vitenskapelig artikkel
  • Diehl, Joscha; Ebrahimi-Fard, Kurusch; Tapia, Nikolas. (2022) Tropical Time Series, Iterated-Sums Signatures, and Quasisymmetric Functions. SIAM Journal on applied algebra and geometry
    Vitenskapelig artikkel
  • Al-Kaabi, Mahdi J. Hasan; Ebrahimi-Fard, Kurusch; Manchon, Dominique. (2022) Post-Lie Magnus Expansion and BCH-Recursion. SIGMA. Symmetry, Integrability and Geometry
    Vitenskapelig artikkel
  • Ebrahimi-Fard, Kurusch; Celestino Rodriguez, Adrian de Jesus; Perales Anaya, Daniel. (2021) Relations between Infinitesimal Non-Commutative Cumulants. Documenta Mathematica
    Vitenskapelig artikkel
  • 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)
    Vitenskapelig artikkel
  • 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
    Vitenskapelig artikkel
  • Gray, W. Steven; Ebrahimi-Fard, Kurusch. (2021) Generating series for networks of Chen–Fliess series. Systems & control letters (Print)
    Vitenskapelig artikkel
  • 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
    Vitenskapelig artikkel
  • Curry, Charles Henry Alexander; Ebrahimi-Fard, Kurusch; Owren, Brynjulf. (2020) The Magnus expansion and post-Lie algebras. Mathematics of Computation
    Vitenskapelig artikkel
  • 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
    Vitenskapelig artikkel
  • Ebrahimi-Fard, Kurusch; Foissy, Loïc; Kock, Joachim; Patras, Frédéric. (2020) Operads of (noncrossing) partitions, interacting bialgebras, and moment-cumulant relations. Advances in Mathematics
    Vitenskapelig artikkel
  • 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
    Vitenskapelig artikkel
  • Ebrahimi-Fard, Kurusch; Patras, Frédéric; Tapia, Nikolas; Zambotti, Lorenzo. (2020) Hopf-algebraic deformations of products and Wick polynomials. International Mathematics Research Notices (IMRN)
    Vitenskapelig artikkel
  • 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
    Vitenskapelig artikkel
  • 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
    Vitenskapelig artikkel
  • 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
    Vitenskapelig artikkel
  • Ebrahimi-Fard, Kurusch; Patras, Frederic. (2019) Shuffle group laws: applications in free probability. Proceedings of the London Mathematical Society
    Vitenskapelig artikkel
  • 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
    Vitenskapelig artikkel
  • Curry, Charles Henry Alexander; Ebrahimi-Fard, Kurusch; Patras, Frederic. (2019) On non-commutative stochastic exponentials. Lecture Notes in Computational Science and Engineering
    Vitenskapelig artikkel
  • Ebrahimi-Fard, Kurusch; Manchon, Dominique; Singer, Johannes; Zhao, Jianqang. (2018) Renormalisation group for multiple zeta values. Communications in Number Theory and Physics
    Vitenskapelig artikkel
  • Ebrahimi-Fard, Kurusch; Patras, Frederic. (2018) Monotone, free, and boolean cumulants: a shuffle algebra approach. Advances in Mathematics
    Vitenskapelig artikkel
  • Curry, Charles Henry Alexander; Ebrahimi-Fard, Kurusch; Owren, Brynjulf. (2018) The Magnus expansion and Post-Lie algebras. arXiv.org
    Vitenskapelig artikkel
  • Ebrahimi-Fard, Kurusch; Patras, Frederic; Speicher, Roland. (2017) ϵ-Noncrossing Partitions and Cumulants in Free Probability. International Mathematics Research Notices (IMRN)
    Vitenskapelig artikkel
  • 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)
    Vitenskapelig artikkel
  • Ebrahimi-Fard, Kurusch; Fauvet, Frederic; Manchon, Dominique. (2017) A comodule-bialgebra structure for word-series substitution and mould composition. Journal of Algebra
    Vitenskapelig artikkel
  • Gray, W Steven; Duffaut Espinosa, Luis A.; Ebrahimi-Fard, Kurusch. (2017) Discrete-Time Approximations of Fliess Operators. Numerische Mathematik
    Vitenskapelig artikkel
  • Ebrahimi-Fard, Kurusch; Mencattini, Igor; Munthe-Kaas, Hans. (2017) Post-Lie algebras and factorization theorems. Journal of Geometry and Physics
    Vitenskapelig artikkel
  • 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
    Vitenskapelig artikkel
  • Duffaut-Espinosa, Luis; Gray, Steven; Ebrahimi-Fard, Kurusch. (2016) Dendriform–Tree Setting for Fliess Operators. IMA Journal of Mathematical Control and Information
    Vitenskapelig artikkel
  • Ebrahimi-Fard, Kurusch; Patras, Frederic. (2015) Cumulants, free cumulants and half-shuffles. Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences
    Vitenskapelig artikkel

Bøker

  • Ebrahimi-Fard, Kurusch; Gray, W. Steven; Schmeding, Alexander. (2023) Zeroing the Output of Nonlinear Systems Without Relative Degree. IEEE conference proceedings IEEE conference proceedings
    Vitenskapelig antologi/Konferanseserie
  • Ebrahimi-Fard, Kurusch; Barbero Liñan, Maria. (2018) Discrete Mechanics, Geometric Integration and Lie–Butcher Series. Springer Publishing Company Springer Proceedings in Mathematics & Statistics (1)
    Vitenskapelig antologi/Konferanseserie
  • Celledoni, Elena; Di Nunno, Giulia; Ebrahimi-Fard, Kurusch; Munthe-Kaas, Hans. (2018) Computation and Combinatorics in Dynamics, Stochastics and Control. Springer Abel Symposia (1)
    Vitenskapelig antologi/Konferanseserie
  • Ebrahimi-Fard, Kurusch; Alvarez-Consul, Luis; Burgos Gil, Jose Ignacio. (2015) Feynman Amplitudes, Periods and Motives. American Mathematical Society (AMS) Contemporary Mathematics (1)
    Vitenskapelig antologi/Konferanseserie
  • Ebrahimi-Fard, Kurusch; Marcolli, Matilde; van Suijlek, Walter D.. (2011) Combinatorics and Physics. American Mathematical Society (AMS) Contemporary Mathematics (1)
    Vitenskapelig antologi/Konferanseserie

Del av bok/rapport

  • Ebrahimi-Fard, Kurusch; Patras, Frederic. (2021) From iterated integrals and chronological calculus to Hopf and Rota-Baxter algebras . John Wiley & Sons
    Vitenskapelig Kapittel/Artikkel/Konferanseartikkel

Rapport

  • 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)
    Rapport

Formidling

2021

  • Vitenskapelig foredrag
    Ebrahimi-Fard, Kurusch; Gray, W. Steven; Duffaut Espinosa, Luis A.. (2021) Additive Networks of Chen-Fliess Series: Local Convergence and Relative Degree . IEEE 60th IEEE Conference on Decision and Control (CDC) , Austin, Texas 2021-12-13 - 2021-12-15

2019

  • Dokumentar
    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 Bulletin of the London Mathematical Society [Tidsskrift] 2019-11-06

2017

  • Vitenskapelig foredrag
    Curry, Charles Henry Alexander; Ebrahimi-Fard, Kurusch; Patras, Frederic. (2017) On non-commutative stochastic exponentials. minisymposium European Conference on Numerical Mathematics and Advanced Applications , Voss 2017-09-25 - 2017-09-29
  • Vitenskapelig foredrag
    Berlin, Lance; Gray, Steven; Ebrahimi-Fard, Kurusch; Duffaut Espinosa, Luis A.. (2017) On the Performance of Antipode Algorithms for the Multivariable Output Feedback Hopf Algebra. 2017 51st Annual Conference on Information Sciences and Systems (CISS) 2017-03-22 - 2017-03-24
  • Faglig foredrag
    Gray, Steven; Duffaut Espinosa, Luis A.; Ebrahimi-Fard, Kurusch. (2017) Sensitivity of the left inverse of a SISO analytic nonlinear system. 2017 51st Annual Conference on Information Sciences and Systems (CISS) 2017-03-22 - 2017-03-24
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