1 citations · 1 across the 8 of their papers we have counts for
9 papers
On the equivalence between the Polchinski flow and the Connes-Kreimer approaches to perturbative renormalisation
Yvain Bruned, Paul Laubie, Aurélien Minguella
We prove a correspondence between the Polchinski flow and the Connes-Kreimer approaches to perturbative renormalisation, in the sense that the first yields the same renormalisation…
Braces on the cohomology of noncrossing 2-partitions
Paul Laubie
We show that the operadic structure on the cohomology of the poset of noncrossing 2-partitions is isomorphic to the Brace operad.
Banach fixed point and flow approach for rough analysis
Yvain Bruned, Yingtong Hou, Paul Laubie +1
In this paper, we show that the main algebraic assumption required to perform a fixed point argument for rough differential equations implies the algebraic assumption for the Baill…
Homological freeness criterion for operadic modules and application to Cohen-Macalayness of posets
Paul Laubie
We show a variation of the usual homological freeness criterion for operadic modules over a Koszul operad. We then apply this result to decorated partition posets for some operads,…
On Hilbert series of Koszul operads and a classification result for set-operads
Paul Laubie
Motivated by numerous examples in the literature, we state a conjecture on the Hilbert series of Koszul symmetric operads generated by one element of arity . We prove this conje…
Elementary differentials from multi-indices to rooted trees
Yvain Bruned, Paul Laubie
Rooted trees are essential for describing numerical schemes via the so-called B-series. They have also been used extensively in rough analysis for expanding solutions of singular S…
Volume preservation of Butcher series methods from the operad viewpoint
Vladimir Dotsenko, Paul Laubie
We study a coloured operad involving rooted trees and directed cycles of rooted trees that generalizes the operad of rooted trees of Chapoton and Livernet. We describe all the rela…
Hypertrees and embedding of the operad
Paul Laubie
The operad encodes the algebraic structure on vector fields of Frobenius manifolds, in the same way as the operad encodes the algebraic structure on…
Combinatorics of pre-Lie products sharing a Lie bracket
Paul Laubie
We study in detail the operad controlling several pre-Lie algebra structures sharing the same Lie bracket. Specifically, we show that this operad admits a combinatorial description…