Logarithmic Derivatives and Generalized Dynkin Operators

2012/06/21 by Frederic Menous, Menous, Frederic, Frédéric Patras +1 · 1 citation
Mathematics · #Combinatorics (math.CO) #Dynamical Systems (math.DS) #FOS: Mathematics #math.CO #math.DS

paper · pdf · doi:10.48550/arxiv.1206.4990

arxiv created 2012/06/21 · arxiv updated 2012/06/22

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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