

Dobrushin Mathematics Laboratory Seminar
December 17, 2013 16:00, Moscow, room 307, IITP RAS (Bolshoy Karetniy per., 19)






Rooted Tree Graphs and Transformation Groups
W. G. Faris^{} ^{} University of Arizona, Department of Mathematics

Number of views: 
This page:  84 

Abstract:
Series solutions of ordinary differential equations are indexed by rooted tree graphs. It was discovered by Butcher that there is an infinitedimensional transformation group associated with rooted tree graphs. His discovery was in the context of numerical analysis of ordinary differential equations, but the same group emerges in the ConnesKreimer approach to renormalization in quantum field theory. This talk will explore the combinatorial background to this subject.

