Algebraic background for numerical methods, control theory and renormalization
Classical Analysis and ODEs
2015-01-29 v1 Rings and Algebras
Abstract
We review some important algebraic structures which appear in a priori remote areas of Mathematics, such as control theory, numerical methods for solving differential equations, and renormalization in Quantum Field Theory. Starting with connected Hopf algebras we will also introduce augmented operads, and devote a substantial part to pre-Lie algebras. Other related algebraic structures (Rota-Baxter and dendriform algebras, NAP algebras) will be also mentioned.
Cite
@article{arxiv.1501.07205,
title = {Algebraic background for numerical methods, control theory and renormalization},
author = {Dominique Manchon},
journal= {arXiv preprint arXiv:1501.07205},
year = {2015}
}
Comments
Proceedings of the COmbinatorics and COntrol conference, Benasque, Spring 2010 (to appear)