36 citations · 61 across the 14 of their papers we have counts for
15 papers
Explicit linearization of multi-dimensional germs and vector fields through Ecalle's tree expansions
Frédéric Fauvet, Frédéric Menous, David Sauzin
We revisit the Siegel linearization problem by means of explicit formulas of non-recursive type for the linearizing transformations of a non-resonant holomorphic germ of diffeomorp…
Tree expansions of some Lie idempotents}
Frédéric Menous, Jean-Christophe Novelli, Jean-Yves Thibon
We prove that the Catalan Lie idempotent , introduced in [Menous {\it et al.}, Adv. Appl. Math. 51 (2013), 177] can be refined by introducing independent parameters $…
Quadri-algebras, preLie algebras, and the Catalan family of Lie idempotents
Loïc Foissy, Frédéric Menous, Jean-Christophe Novelli +1
We compute the expansion of the Catalan family of Lie idempotents introduced in [Menous et al., Adv. Applied Math. 51 (2013), 177-22] on the PBW basis of the Lie module. It is foun…
Resurgence and holonomy of the model in zero dimension
Frédéric Fauvet, Frédéric Menous, Julien Quéva
We describe the resurgence properties of some partition functions corresponding to field theories in dimension 0. We show that these functions satisfy linear differential equations…
Renormalization: a quasi-shuffle approach
Frédéric Menous, Frédéric Patras
In recent years, the usual BPHZ algorithm for renormalization in perturbative quantum field theory has been interpreted, after dimensional regularization, as a Birkhoff decompositi…
Free cumulants, Schröder trees, and operads
Matthieu Josuat-Vergès, Frédéric Menous, Jean-Christophe Novelli +1
The functional equation defining the free cumulants in free probability is lifted successively to the noncommutative Faà di Bruno algebra, and then to the group of a free operad ov…