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math-ph2026
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…
math.CO2026
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.
math.PR2026
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…