3 papers
math.AP2024
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…
math.AP2024
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.AP2023
Periodic homogenisation for
Yilin Chen, Weijun Xu
We consider the periodic homogenisation problem for dynamical , a toy model that combines both renormalisation in singular stochastic PDEs and homogenisation. Our result sh…