2 papers
math.AP2026
Periodic homogenisation for two dimensional generalised parabolic Anderson model
Yilin Chen, Benjamin Fehrman, Weijun Xu
We consider the periodic homogenisation problem for the generalised parabolic Anderson model on the two dimensional torus. We show that, for the renormalisation that respects Wick…
math.AP2025
Operator dependent para-controlled calculus, periodic homogenisation and singular PDEs
Yilin Chen, Weijun Xu
We develop a variant of the para-controlled distributions framework based on operator dependent (generalised) Besov spaces. These spaces were introduced by Kerkyacharian-Petrushev…