English

Periodic homogenisation for $P(\phi)_2$

Analysis of PDEs 2023-11-29 v1 Probability

Abstract

We consider the periodic homogenisation problem for dynamical P(ϕ)2P(\phi)_2, a toy model that combines both renormalisation in singular stochastic PDEs and homogenisation. Our result shows that the two limiting procedures commute in this case.

Keywords

Cite

@article{arxiv.2311.16398,
  title  = {Periodic homogenisation for $P(\phi)_2$},
  author = {Yilin Chen and Weijun Xu},
  journal= {arXiv preprint arXiv:2311.16398},
  year   = {2023}
}
R2 v1 2026-06-28T13:33:32.324Z