120 citations · 691 across the 56 of their papers we have counts for
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Logarithmic Derivatives and Generalized Dynkin Operators
Frederic Menous, Frédéric Patras
Motivated by a recent surge of interest for Dynkin operators in mathematical physics and by problems in the combinatorial theory of dynamical systems, we propose here a systematic…
Time-ordering and a generalized Magnus expansion
Michel Bauer, Raphael Chetrite, Kurusch Ebrahimi-Fard +1
Both the classical time-ordering and the Magnus expansion are well-known in the context of linear initial value problems. Motivated by the noncommutativity between time-ordering an…
Natural endomorphisms of shuffle algebras
Loïc Foissy, Frédéric Patras
We focus in this text on the adaptation to the study of shuffles of the main combinatorial tool in the theory of free Lie algebras, namely the existence of a universal algebra of e…
Enveloping algebras of preLie algebras, Solomon idempotents and the Magnus formula
Frédéric Chapoton, Frédéric Patras
We study the internal structure of enveloping algebras of preLie algebras. We show in particular that the canonical projections arising from the Poincaré-Birkhoff-Witt theorem can…