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 Bruned–Hairer–Zambotti (Algebraic renormalisation of regularity structures, 2016. arXiv:1610.08468).

中文翻译：

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正则结构中的递归公式

我们通过对结构组和重新规范化组使用递归公式来构造规则结构的重新规范化模型。该构造涵盖了迄今为止已用规则结构理论处理过的所有奇异SPDE的示例，并改进了基于Bruned–Hairer–Zambotti中给出的Hopf代数的重整化过程（规则结构的代数重整化，2016。arXiv：1610.08468） 。