论文标题
规则性结构中基于树模型收敛的无图方法
Diagram-free approach for convergence of tree-based models in Regularity Structures
论文作者
论文摘要
在这项工作中，我们在装饰树的层面上翻译了一些至关重要的参数，这些论点已在Arxiv中使用：2112.10739用于提出一种无图表的方法，以在规则性结构中收敛。这使我们能够扩大视角并扩大这种方法所涵盖的单数SPDES的范围。它还阐明了马丁·坦科（Martin Hairer）基础论文中引入的代数结构的新灯光，该结构后来用于递归描述的重态化模型。
In this work, we translate at the level of decorated trees some of the crucial arguments which have been used in arXiv:2112.10739 for proposing a diagram-free approach for the convergence of the model in Regularity Structures. This allows us to broaden the perspective and enlarge the scope of singular SPDEs covered by this approach. It also sheds new light on algebraic structures introduced in the foundational paper of Martin Hairer on Regularity structures which was used later for recursively described renormalised models.
