Geodesic
Logarithmic derivatives and generalized Dynkin operators
Journal of Algebraic Combinatorics, Tome 38 (2013) no. 4, pp. 901-913.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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 study of logarithmic derivatives in various contexts. In particular, we introduce and investigate generalizations of the Dynkin operator for which we obtain Magnus-type formulas.
Classification : 17B01, 05E18, 16T05
Keywords: Dynkin operator, free Lie algebras, logarithmic derivative, Rota-Baxter algebra 
@article{JAC_2013__38_4_a4,
     author = {Menous, Fr\'ed\'eric and Patras, Fr\'ed\'eric},
     title = {Logarithmic derivatives and generalized {Dynkin} operators},
     journal = {Journal of Algebraic Combinatorics},
     pages = {901--913},
     publisher = {mathdoc},
     volume = {38},
     number = {4},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2013__38_4_a4/}
}
TY  - JOUR
AU  - Menous, Frédéric
AU  - Patras, Frédéric
TI  - Logarithmic derivatives and generalized Dynkin operators
JO  - Journal of Algebraic Combinatorics
PY  - 2013
SP  - 901
EP  - 913
VL  - 38
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JAC_2013__38_4_a4/
LA  - en
ID  - JAC_2013__38_4_a4
ER  - 
%0 Journal Article
%A Menous, Frédéric
%A Patras, Frédéric
%T Logarithmic derivatives and generalized Dynkin operators
%J Journal of Algebraic Combinatorics
%D 2013
%P 901-913
%V 38
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JAC_2013__38_4_a4/
%G en
%F JAC_2013__38_4_a4
Menous, Frédéric; Patras, Frédéric. Logarithmic derivatives and generalized Dynkin operators. Journal of Algebraic Combinatorics, Tome 38 (2013) no. 4, pp. 901-913. http://geodesic.mathdoc.fr/item/JAC_2013__38_4_a4/