Logarithmic Derivatives and Generalized Dynkin Operators
Frederic Menous, Fr\'ed\'eric Patras (JAD)
TL;DR
This paper explores logarithmic derivatives and generalized Dynkin operators, providing Magnus-type formulas to advance understanding in mathematical physics and dynamical systems.
Contribution
It introduces and studies generalized Dynkin operators with Magnus-type formulas, expanding the theoretical framework for applications in physics and dynamical systems.
Findings
Development of generalized Dynkin operators
Derivation of Magnus-type formulas for these operators
Potential applications in mathematical physics and dynamical systems
Abstract
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.
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Taxonomy
TopicsAdvanced Topics in Algebra · Quantum chaos and dynamical systems · Algebraic structures and combinatorial models