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A general formula for the Magnus expansion in terms of iterated integrals of right-nested commutators

Authors :
Arnal, Ana
Casas, Fernando
Chiralt, Cristina
Publication Year :
2017

Abstract

We present a general expression for any term of the Magnus series as an iterated integral of a linear combination of independent right-nested commutators with given coefficients. The relation with the Malvenuto--Reutenauer Hopf algebra of permutations is also discussed.<br />Comment: 16 pages

Subjects

Subjects :
Mathematical Physics
34A45, 16T05

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1710.10851
Document Type :
Working Paper