4 papers
A general paracontrolled ansatz for singular SPDEs
Yvain Bruned, Nicolas Moench
We provide a general ansatz for the paracontrolled approach introduced by Gubinelli, Imkeller, Perkowski for treating singular SPDEs. The ansatz proposed covers a large class of eq…
Unique continuation properties for the continuous Anderson operator in dimension 2
Nicolas Moench
We consider singular continuous Anderson operators on the one and two dimensional tori, and prove the strong unique continuation property for their eigenfunctions. The pro…
Local expansion properties of paracontrolled systems
I. Bailleul, N. Moench
The concept of concrete regularity structure gives the algebraic backbone of the operations involved in the local expansions used in the regularity structure approach to singular s…
Mean field singular stochastic PDEs
I. Bailleul, N. Moench
We study some systems of interacting fields whose evolution is given by some singular stochastic partial differential equations of mean field type. We provide a robust setting for…