We construct renormalised models of regularity structures by using a recursive formulation for the structure group and for the renormalisation group. This construction covers all the examples of singular SPDEs which have been treated so far with the theory of regularity structures and improves the renormalisation procedure based on Hopf algebras given in [BHZ16].
Post-Lie algebras in Regularity Structures
Geometric embedding for Regularity Structures
A top-down approach to algebraic renormalization in regularity structures based on multi-indices
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