Skip to search formSkip to main content
You are currently offline. Some features of the site may not work correctly.

Butcher group

Known as: Butcher series, Connes-Kreimer algebra, Connes–Kreimer algebra 
In mathematics, the Butcher group, named after the New Zealand mathematician John C. Butcher by , is an infinite-dimensional Lie group first… Expand
Wikipedia

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2017
2017
We consider the entanglement entropy for a spacetime region and its spacelike complement in the framework of algebraic quantum… Expand
Highly Cited
2013
Highly Cited
2013
Pre-Lie (or Vinberg) algebras arise from flat and torsion-free connections on differential manifolds. These algebras have been… Expand
2012
2012
We construct Dirac operators on foliations by applying the Bismut-Lebeau analytic localization technique to the Connes fibration… Expand
2011
2011
We study Feynman rules for the rational part R of the Standard Model amplitudes at one-loop level in the ’t Hooft-Veltman γ5… Expand
  • figure 2
  • figure 3
  • figure 5
  • figure 6
2008
2008
We construct an associative algebra with a decomposition into the direct sum of the underlying vector spaces of another… Expand
  • table 1
  • table 2
2006
2006
A stability and efficiency improved class of generalized Runge–Kutta methods of order 4 are developed for the numerical solution… Expand
  • table 1
  • figure 1
  • figure 2
  • table 2
  • table 3
2006
2006
In a first part we study the phi^{p+1}--field theory from the classical point of view. Using Butcher series we compute explicitly… Expand
Highly Cited
2005
Highly Cited
2005
This paper proves a theorem (“Theorem 6”) on the composition of, what we call, Butcher series. This Theorem is shown to be… Expand
  • figure 1
  • figure 3
  • figure 6
2003
2003
The algebraic structure underlying non-commutative Lie-Butcher series is the free Lie algebra over ordered trees. In this paper… Expand
1997
1997
Abstract Using the formalism of superconnections, we show the existence of a bosonic action functional for the standard K-cycle… Expand