We present a general expression for any term of the Magnus series as an iterated integral of a linear combination of independent right-nested commutators with given coefficients. The relation with the Malvenuto–Reutenauer Hopf algebra of permutations is also discussed
In this paper, we are concerned with a formulation of Magnus and Floquet-Magnus expansions for gener...
This work deals with special nested objects arising in massive higher order perturbative calculation...
The Magnus Exponential can be employed to solve the system of differential equations obeyed by Feynm...
We present a general expression for any term of the Magnus series as an iterated integral of a linea...
I. Introduction. In this paper, two related commutator identities are established through the use of...
International audienceW. Magnus introduced a particular differential equation characterizing the log...
In this paper, two related commutator identities are established through the use of the Magnus Algeb...
The Fer and Magnus expansions provide solutions to the initial value problem dY dt = A(t)Y, Y (t0) ...
Approximate resolution of linear systems of differential equations with varying coefficients is a re...
Agence Nationale de la Recherche, projet CARMA ANR-12-BS01-0017, and Ministerio de Econom{\i}a y Com...
Abstract—The Chen-Fliess series is known to be an expo-nential Lie series. Previously explicit formu...
We consider special Lambert series as generating functions of divisor sums and determine their compl...
International audienceWe study the internal structure of enveloping algebras of preLie algebras. We ...
International audienceWe provide a refined approach to the classical Magnus and Fer expansion, unvei...
ABSTRACT. Let F be the free group generated by a and b; F = (a,b). Let F n be the n th subgroup f th...
In this paper, we are concerned with a formulation of Magnus and Floquet-Magnus expansions for gener...
This work deals with special nested objects arising in massive higher order perturbative calculation...
The Magnus Exponential can be employed to solve the system of differential equations obeyed by Feynm...
We present a general expression for any term of the Magnus series as an iterated integral of a linea...
I. Introduction. In this paper, two related commutator identities are established through the use of...
International audienceW. Magnus introduced a particular differential equation characterizing the log...
In this paper, two related commutator identities are established through the use of the Magnus Algeb...
The Fer and Magnus expansions provide solutions to the initial value problem dY dt = A(t)Y, Y (t0) ...
Approximate resolution of linear systems of differential equations with varying coefficients is a re...
Agence Nationale de la Recherche, projet CARMA ANR-12-BS01-0017, and Ministerio de Econom{\i}a y Com...
Abstract—The Chen-Fliess series is known to be an expo-nential Lie series. Previously explicit formu...
We consider special Lambert series as generating functions of divisor sums and determine their compl...
International audienceWe study the internal structure of enveloping algebras of preLie algebras. We ...
International audienceWe provide a refined approach to the classical Magnus and Fer expansion, unvei...
ABSTRACT. Let F be the free group generated by a and b; F = (a,b). Let F n be the n th subgroup f th...
In this paper, we are concerned with a formulation of Magnus and Floquet-Magnus expansions for gener...
This work deals with special nested objects arising in massive higher order perturbative calculation...
The Magnus Exponential can be employed to solve the system of differential equations obeyed by Feynm...