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Simply Generated Trees, B-series and Wigner Processes

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Published in Random Structures and Algorithms. 2004, vol. 25, no. 3, p. 293-310
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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MAZZA, Christian. Simply Generated Trees, B-series and Wigner Processes. In: Random Structures and Algorithms, 2004, vol. 25, n° 3, p. 293-310. https://archive-ouverte.unige.ch/unige:12229

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Deposited on : 2010-10-22

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