3 papers
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.PR2026
Recentering with Malliavin derivative
Yvain Bruned, Aurélien Minguella
We provide an algebraic unification of the spectral gap proofs of the convergence of the renormalised model for regularity structures. We show that the key recentering map used in…
math.PR2025
Renormalisation in the flow approach for singular SPDEs
Yvain Bruned, Aurélien Minguella
In this work, we study the renormalisation of singular SPDEs in the flow approach recently developed by Duch. We introduce a general ansatz based on decorated trees for the solutio…