201 citations · 2.4k across the 113 of their papers we have counts for
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math-ph2006★ 7 cited
On matrix differential equations in the Hopf algebra of renormalization
Kurusch Ebrahimi-Fard, Dominique Manchon
We establish Sakakibara's differential equations in a matrix setting for the counter term (respectively renormalized character) in Connes-Kreimer's Birkhoff decomposition in any co…
math-ph2006★ 48 cited
Birkhoff type decompositions and the Baker-Campbell-Hausdorff recursion
K. Ebrahimi-Fard, L. Guo, D. Manchon
We describe a unification of several apparently unrelated factorizations arisen from quantum field theory, vertex operator algebras, combinatorics and numerical methods in differen…