Simply Generated Trees, B-series and Wigner Processes
classification
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math.PR
keywords
functionstreesb-seriesequationsgeneratedgeneratingsimplyapproach
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We consider simply generated trees and study multiplicative functions on rooted plane trees. We show that the associated generating functions satisfy differential equations or difference equations. Our approach considers B-series from Butcher's theory, the generating functions are seen as generalized Runge-Kutta methods
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