3 papers
math.PR2025
Lecture notes on Malliavin calculus in regularity structures
Lucas Broux, Felix Otto, Markus Tempelmayr
Malliavin calculus provides a characterization of the centered model in regularity structures that is stable under removing the small-scale cut-off. In conjunction with a spectral…
math.AP2025
Renormalised Models for Variable Coefficient Singular SPDEs
Lucas Broux, Harprit Singh, Rhys Steele
In this work we prove convergence of renormalised models in the framework of regularity structures [Hai14] for a wide class of variable coefficient singular SPDEs in their full sub…
math.AP2025
Multi-index Based Solution Theory to the Equation in the Full Subcritical Regime
Lucas Broux, Felix Otto, Rhys Steele
We obtain (small-parameter) well-posedness for the (space-time periodic) equation in the full subcritical regime in the context of regularity structures based on multi-indic…