A tourist’s guide to regularity structures and singular stochastic PDEs
Ismaël Bailleul
Université de Bretagne Occidentale, Brest, FranceMasato Hoshino
Osaka University, Japan

Abstract
We give an essentially self-contained treatment of the fundamental analytic and algebraic features of regularity structures and their applications to the study of singular stochastic PDEs.
Cite this article
Ismaël Bailleul, Masato Hoshino, A tourist’s guide to regularity structures and singular stochastic PDEs. EMS Surv. Math. Sci. 13 (2026), no. 1, pp. 215–354
DOI 10.4171/EMSS/87