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Simply Generated Trees, B-series and Wigner Processes

Christian Mazza
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Abstract

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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Christian Mazza. 2004-04-06. Simply Generated Trees, B-series and Wigner Processes. https://arxiv.org/abs/math/0404126

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