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

Published 30 Oct 2017 in math-ph and math.MP | (1710.10851v1)

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.

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