111 citations · 741 across the 51 of their papers we have counts for
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The combinatorics of Bogoliubov's recursion in renormalization
Kurusch Ebrahimi-Fard, Dominique Manchon
We describe various combinatorial aspects of the Birkhoff-Connes-Kreimer factorization in perturbative renormalisation. The analog of Bogoliubov's preparation map on the Lie algebr…
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…
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…
Shuffle relations for regularised integrals of symbols
Dominique Manchon, Sylvie Paycha
We prove shuffle relations which relate a product of regularised integrals of classical symbols to regularised nested (Chen) iterated integrals, which hold if all the symbols invol…
From Stokes' formula to cyclic Hochschild cocycles on classical symbols
Yoshiaki Maeda, Dominique Manchon, Sylvie Paycha
This paper has been withdrawn by the authors, as it contains some errors. The core of it has been entirely rewritten in math.FA/0510454.