Simply Generated Trees, B-series and Wigner Processes

Mathematics – Combinatorics

Scientific paper

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19 pages, 1 figure

Scientific paper

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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