119 citations · 1.8k across the 76 of their papers we have counts for
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Renormalization group-like proof of the universality of the Tutte polynomial for matroids
G. H. E. Duchamp, N. Hoang-Nghia, T. Krajewski +1
In this paper we give a new proof of the universality of the Tutte polynomial for matroids. This proof uses appropriate characters of Hopf algebra of matroids, algebra introduced b…
A selection-quotient process for packed word Hopf algebra
G. H. E. Duchamp, N. Hoang-Nghia, A. Tanasa
In this paper, we define a Hopf algebra structure on the vector space spanned by packed words using a selection-quotient coproduct. We show that this algebra is free on its irreduc…
Generalized constructive tree weights
Vincent Rivasseau, Adrian Tanasa
The Loop Vertex Expansion (LVE) is a quantum field theory (QFT) method which explicitly computes the Borel sum of Feynman perturbation series. This LVE relies in a crucial way on s…
Next-to-leading order in the large expansion of the multi-orientable random tensor model
Matti Raasakka, Adrian Tanasa
In this paper we analyze in detail the next-to-leading order (NLO) of the recently obtained large expansion for the multi-orientable (MO) tensor model. From a combinatorial poi…
A combinatorial non-commutative Hopf algebra of graphs
G. H. E. Duchamp, L. Foissy, N. Hoang-Nghia +2
A non-commutative, planar, Hopf algebra of rooted trees was proposed in L. Foissy, Bull. Sci. Math. 126 (2002) 193-239. In this paper we propose such a non-commutative Hopf algebra…
Combinatorial Hopf algebra for the Ben Geloun-Rivasseau tensor field theory
Matti Raasakka, Adrian Tanasa
The Ben Geloun-Rivasseau quantum field theoretical model is the first tensor model shown to be perturbatively renormalizable. We define here an appropriate Hopf algebra describing…