Renormalization of Singular Stochastic PDEs: Regularity Structures beyond the KPZ Universality Class
Abstract
We establish a generalized BPHZ renormalization procedure for subcritical SPDEs exhibiting non-Gaussian limiting behaviors, extending the theory of Regularity Structures to manifolds with boundary via transfinite induction on the symbol hierarchy.
Fields of Study & Subjects
Stochastic processes and financial applications
Mathematical Dynamics and Fractals
Stochastic processes and statistical mechanics
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 3 January 2026