The Magnus expansion is a continuous analogue of the Hausdorff series in Lie theory. It is the basis for some methods applying Lie theory to non-autonomous linear differential equations for linear operators.
The Magnus expansion was proposed in
(1954) [doi:10.1002/cpa.3160070404]
Surveys:
S. Blanes, F. Casas, J. A. Oteo, J. Ros, The Magnus expansion and some of its application, Physics reports 470 (2008) 151–238 doi
Kurusch Ebrahimi-Fard, Igor Mencattini, Alexandre Quesney, What is the Magnus Expansion?, arXiv:2312.16674
Relation to the Dyson series:
Path signature generalized to surface signature (for surface iterated integrals, higher parallel transport) and related to Lie algebra crossed modules:
A post-Lie algebra version
Last revised on August 30, 2024 at 12:15:53. See the history of this page for a list of all contributions to it.