Simply Generated Trees, B-series and Wigner Processes
Combinatorics
2007-05-23 v1 Probability
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
Keywords
Cite
@article{arxiv.math/0404126,
title = {Simply Generated Trees, B-series and Wigner Processes},
author = {Christian Mazza},
journal= {arXiv preprint arXiv:math/0404126},
year = {2007}
}
Comments
19 pages, 1 figure