4 citations · 5 across the 3 of their papers we have counts for
4 papers
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…
Discrete RG flow of a hierarchical singular SPDE
Leonard Ferdinand, Simon Gabriel
This paper illustrates the Renormalisation Group (RG) approach to singular SPDEs following a framework introduced by Kupiainen \cite{Kupiainen2016}. We study a linear elliptic SPDE…
Rough differential equations in the flow approach
Ajay Chandra, Léonard Ferdinand
We show how the flow approach of Duch, with elementary differentials as coordinates, can be used to prove well-posedness for rough stochastic differential equations driven by fract…
A flow approach to the generalized KPZ equation
Ajay Chandra, Léonard Ferdinand
We show that the flow approach of Duch [Duc21] can be adapted to prove local well-posedness for the generalized Kardar-Parisi-Zhang equation. The key step is to extend the flow app…