| Publication | Date of Publication | Type |
|---|
| Free post-groups, post-groups from group actions, and post-Lie algebras | 2024-03-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q6140216 | 2024-01-19 | Paper |
| What is the Magnus Expansion? | 2023-12-27 | Paper |
| Conditionally monotone cumulants via shuffle algebra | 2023-12-07 | Paper |
| Shifted substitution in non-commutative multivariate power series with a view toward free probability | 2023-07-12 | Paper |
| Generalized iterated-sums signatures | 2023-07-11 | Paper |
| Primitive elements in the Munthe-Kaas-Wright Hopf Algebra | 2023-06-07 | Paper |
| Effective Action in Free Probability | 2023-05-12 | Paper |
| Multiplicative and semi-multiplicative functions on non-crossing partitions, and relations to cumulants | 2023-03-01 | Paper |
| Tubings, chord diagrams, and Dyson--Schwinger equations | 2023-02-03 | Paper |
| A Formal Power Series Approach to Multiplicative Dynamic Feedback Interconnection | 2023-01-12 | Paper |
| Wick polynomials in noncommutative probability: a group-theoretical approach | 2022-12-14 | Paper |
| Tropical Time Series, Iterated-Sums Signatures, and Quasisymmetric Functions | 2022-12-14 | Paper |
| Eight times four bialgebras of hypergraphs, cointeractions, and chromatic polynomials | 2022-12-07 | Paper |
| Quasi-shuffle algebras in non-commutative stochastic calculus | 2022-12-01 | Paper |
| Algebraic groups in non-commutative probability theory revisited | 2022-08-04 | Paper |
| Signatures of graphs for bicommutative Hopf algebras | 2022-06-16 | Paper |
| Cumulant-cumulant relations in free probability theory from Magnus' expansion | 2022-06-03 | Paper |
| From Iterated Integrals and Chronological Calculus to Hopf and Rota–Baxter Algebras | 2022-05-27 | Paper |
| Algebraic aspects of connections: from torsion, curvature, and post-Lie algebras to Gavrilov's double exponential and special polynomials | 2022-05-09 | Paper |
| Post-Lie Magnus expansion and BCH-recursion | 2022-04-01 | Paper |
| Relations between infinitesimal non-commutative cumulants | 2021-10-05 | Paper |
| Multiplicative and semi-multiplicative functions on non-crossing partitions, and relations to cumulants | 2021-06-30 | Paper |
| On the twisted factorization of the $T$-transform | 2021-05-20 | Paper |
| Time-warping invariants of multidimensional time series | 2021-05-06 | Paper |
| Hopf-algebraic Deformations of Products and Wick Polynomials | 2021-03-16 | Paper |
| Generating series for networks of Chen-Fliess series | 2021-01-06 | Paper |
| Planarly branched rough paths and rough differential equations on homogeneous spaces | 2020-09-18 | Paper |
| Iterated-sums signature, quasisymmetric functions and time series analysis | 2020-09-14 | Paper |
| The Magnus expansion and post-Lie algebras | 2020-08-27 | Paper |
| Evaluating Generating Functions for Periodic Multiple Polylogarithms via Rational Chen–Fliess Series | 2020-08-05 | Paper |
| A group-theoretical approach to conditionally free cumulants | 2020-07-09 | Paper |
| Bogoliubov type recursions for renormalisation in regularity structures | 2020-06-08 | Paper |
| Operads of (noncrossing) partitions, interacting bialgebras, and moment-cumulant relations | 2020-05-23 | Paper |
| Quasi‐shuffle algebras and renormalisation of rough differential equations | 2020-05-21 | Paper |
| What is a post-Lie algebra and why is it useful in geometric integration | 2019-11-26 | Paper |
| On non-commutative stochastic exponentials | 2019-11-26 | Paper |
| Algebraic structures and stochastic differential equations driven by Lévy processes | 2019-11-19 | Paper |
| Shuffle group laws: applications in free probability | 2019-10-18 | Paper |
| ${\epsilon}$ -Noncrossing Partitions and Cumulants in Free Probability | 2019-09-09 | Paper |
| The Faà di Bruno Hopf algebra for multivariable feedback recursions in the center problem for higher order Abel equations | 2019-03-22 | Paper |
| The Hopf Algebra of ($q$-)Multiple Polylogarithms with Non-positive Arguments: Table 1. | 2019-01-22 | Paper |
| Center Problem, Abel Equation and the Faà di Bruno Hopf Algebra for Output Feedback | 2019-01-22 | Paper |
| The Splitting Process in Free Probability Theory | 2018-12-12 | Paper |
| Dendriform–Tree Setting for Fliess Operators | 2018-11-23 | Paper |
| Renormalisation group for multiple zeta values | 2018-07-11 | Paper |
| Combinatorial Hopf algebra for interconnected nonlinear systems | 2018-05-08 | Paper |
| Monotone, free, and Boolean cumulants: a shuffle algebra approach | 2018-03-15 | Paper |
| A comodule-bialgebra structure for word-series substitution and mould composition | 2017-11-28 | Paper |
| Post-Lie Algebras, Factorization Theorems and Isospectral-Flows | 2017-11-07 | Paper |
| Algebraic structure of stochastic expansions and efficient simulation | 2017-09-29 | Paper |
| Cumulants, free cumulants and half-shuffles | 2017-09-29 | Paper |
| The exponential Lie series for continuous semimartingales | 2017-09-29 | Paper |
| Discrete-time approximations of Fliess operators | 2017-09-15 | Paper |
| Post-Lie algebras and factorization theorems | 2017-07-04 | Paper |
| SISO Output Affine Feedback Transformation Group and Its Faà di Bruno Hopf Algebra | 2017-05-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2969731 | 2017-03-23 | Paper |
| Duality and (\(q\)-)multiple zeta values | 2016-06-10 | Paper |
| Lévy processes and quasi-shuffle algebras | 2016-06-10 | Paper |
| Renormalisation of \(q\)-regularised multiple zeta values | 2016-03-18 | Paper |
| On the Lie enveloping algebra of a post-Lie algebra | 2016-03-16 | Paper |
| A combinatorial Hopf algebra for nonlinear output feedback control systems | 2016-03-02 | Paper |
| Post-Lie algebras and isospectral flows | 2016-01-15 | Paper |
| Flows and stochastic Taylor series in Itô calculus | 2016-01-15 | Paper |
| Transfer group for renormalized multiple zeta values | 2015-10-30 | Paper |
| The combinatorics of Green's functions in planar field theories | 2015-09-29 | Paper |
| UNFOLDING THE DOUBLE SHUFFLE STRUCTURE OF -MULTIPLE ZETA VALUES | 2015-06-05 | Paper |
| On Euler's decomposition formula for \(q\)MZVs | 2015-06-02 | Paper |
| Faà di Bruno Hopf algebra of the output feedback group for multivariable Fliess operators | 2014-11-24 | Paper |
| The pre-Lie structure of the time-ordered exponential | 2014-11-17 | Paper |
| Noncommutative Bell polynomials, quasideterminants and incidence Hopf algebras | 2014-10-15 | Paper |
| On an extension of Knuth's rotation correspondence to reduced planar trees | 2014-09-25 | Paper |
| The Magnus expansion, trees and Knuth's rotation correspondence | 2014-09-04 | Paper |
| Exponential renormalisation. II. Bogoliubov's R-operation and momentum subtraction schemes | 2014-01-14 | Paper |
| The tridendriform structure of a discrete Magnus expansion | 2013-11-11 | Paper |
| Time-ordering and a generalized Magnus expansion | 2013-04-15 | Paper |
| Rota-Baxter Algebra. The Combinatorial Structure of Integral Calculus | 2013-04-03 | Paper |
| Combinatorics of renormalization as matrix calculus | 2012-09-30 | Paper |
| Harmonium as a laboratory for mathematical chemistry | 2012-07-03 | Paper |
| On an extension of Knuth's rotation correspondence to reduced planar trees | 2012-03-02 | Paper |
| ON THE INSERTION-ELIMINATION LIE ALGEBRA OF FEYNMAN GRAPHS | 2012-01-01 | Paper |
| Twisted dendriform algebras and the pre-Lie Magnus expansion | 2011-10-21 | Paper |
| Two interacting Hopf algebras of trees: a Hopf-algebraic approach to composition and substitution of B-series. | 2011-07-08 | Paper |
| Exponential renormalization | 2011-02-25 | Paper |
| A Zassenhaus-type algorithm solves the Bogoliubov recursion | 2011-01-04 | Paper |
| Dendriform equations | 2010-03-01 | Paper |
| The combinatorics of Bogoliubov’s recursion in renormalization | 2010-01-13 | Paper |
| Generalized Shuffles Related to Nijenhuis andTD-Algebras | 2009-11-04 | Paper |
| A Magnus- and Fer-type formula in dendriform algebras. | 2009-07-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3626820 | 2009-05-22 | Paper |
| A noncommutative Bohnenblust-Spitzer identity for Rota-Baxter algebras solves Bogoliubov's recursion | 2009-05-05 | Paper |
| New identities in dendriform algebras | 2008-10-06 | Paper |
| FREE ROTA–BAXTER ALGEBRAS AND ROOTED TREES | 2008-08-26 | Paper |
| HOPF ALGEBRAS IN DYNAMICAL SYSTEMS THEORY | 2008-05-20 | Paper |
| A Lie theoretic approach to renormalization | 2008-02-18 | Paper |
| Birkhoff type decompositions and the Baker-Campbell-Hausdorff recursion | 2007-11-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5423977 | 2007-11-01 | Paper |
| Rota-Baxter algebras and dendriform algebras. | 2007-10-30 | Paper |
| On matrix differential equations in the Hopf algebra of renormalization | 2007-09-11 | Paper |
| Rota-Baxter algebras and new combinatorial identities | 2007-08-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3593661 | 2007-07-23 | Paper |
| Mixable shuffles, quasi-shuffles and Hopf algebras. | 2006-08-16 | Paper |
| The Hopf algebra approach to Feynman diagram calculations | 2006-01-13 | Paper |
| Matrix Representation of Renormalization in Perturbative Quantum Field Theory | 2005-08-21 | Paper |
| On products and duality of binary, quadratic, regular operads | 2005-08-01 | Paper |
| Integrable renormalization. II: The general case | 2005-05-13 | Paper |
| Spitzer's identity and the algebraic Birkhoff decomposition in pQFT | 2005-02-28 | Paper |
| Integrable renormalization I: The ladder case | 2004-12-15 | Paper |
| On the associative Nijenhuis relation | 2004-10-13 | Paper |
| On the relation between modular theory and geometry | 2004-06-09 | Paper |
| Loday-type algebras and the Rota-Baxter relation | 2003-04-27 | Paper |
