The Magnus expansion, trees and Knuth's rotation correspondence

DOI10.1007/s10208-013-9172-xzbMath1331.17016OpenAlexW2089217430MaRDI QIDQ404248

Dominique Manchon, Kurusch Ebrahimi-Fard

Publication date: 4 September 2014

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10208-013-9172-x

zbMATH Keywords

permutationstreesMagnus expansionB-seriesdendriform algebrapre-Lie algebraRota-Baxter algebra

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Linear differential equations in abstract spaces (34G10)

Related Items (8)

Commutativity in double interchange semigroups ⋮ On post-Lie algebras, Lie-Butcher series and moving frames ⋮ Computing of B-series by automatic differentiation ⋮ The tridendriform structure of a discrete Magnus expansion ⋮ On expansions for nonlinear systems error estimates and convergence issues ⋮ Post-Hopf algebras, relative Rota-Baxter operators and solutions to the Yang-Baxter equation ⋮ The pre-Lie structure of the time-ordered exponential ⋮ Probabilistic evolution theory for the solution of explicit autonomous ordinary differential equations: squarified telescope matrices

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