Logarithmic derivatives and generalized Dynkin operators

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...

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Bibliographic Details
Published in:Journal of algebraic combinatorics 2013-12, Vol.38 (4), p.901-913
Main Authors: Menous, Frédéric, Patras, Frédéric
Format: Article
Language:English
Subjects:
Combinatorics
Computer Science
Convex and Discrete Geometry
Dynamical Systems
Group Theory and Generalizations
Lattices
Mathematics
Mathematics and Statistics
Order
Ordered Algebraic Structures
Rings and Algebras
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Summary: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.
ISSN:0925-9899
1572-9192
DOI:10.1007/s10801-013-0431-3