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math.PR2026
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…
math.PR2025
Unique continuation properties for the continuous Anderson operator in dimension 2
Nicolas Moench
We consider singular continuous Anderson operators on closed manifolds of dimension 1 and 2, and prove a unique continuation property for its eigenfunctions using the theor…
math.PR2024
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…