Logarithmic Derivatives and Generalized Dynkin Operators
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dynkinderivativeslogarithmicoperatorscombinatorialcontextsdynamicalformulas
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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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