English

Five lectures on regularity structures and SPDEs

Probability 2025-12-17 v1 Analysis of PDEs

Abstract

This set of five lectures provides an introduction to regularity structures and their use for the study of singular stochastic partial differential equations. Two appendices provide some additional informations that enter in the main text either as some technical results or as some results that deepen the context within which we set these lectures.

Keywords

Cite

@article{arxiv.2512.14264,
  title  = {Five lectures on regularity structures and SPDEs},
  author = {I. Bailleul},
  journal= {arXiv preprint arXiv:2512.14264},
  year   = {2025}
}

Comments

52 pages

R2 v1 2026-07-01T08:27:07.553Z