5 papers
The stochastic Ginzburg-Landau equation with harmonic potential in the full subcritical regime
Samaël Mackowiak, Aurélien Minguella
In this paper, we construct the complex Ginzburg-Landau dynamic associated with the harmonic oscillator, with a random force which is white in time and covers the full subcritical…
Stochastic PDE construction of some non-local or non-translation-invariant Anderson operators in the full subcritical regime
Léonard Ferdinand, Samaël Mackowiak, Aurélien Minguella
We construct Anderson-type operators in the full subcritical regime via a SPDE argument. Our work encompasses perturbations by a Gaussian noise of the fractional Laplacian on the t…
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…
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…
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…