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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…