| Abstract: |
| In the world of singular SPDEs, there are two big theories: the theory of regularity structures by Hairer and the paracontrolled calculus by Gubinelli, Imkeller and Perkowski. In the Hairer`s
theory, the solution is defined as a modeled distribution, which represents a local behavior of the solution. In the GIP theory, the solution is defined as a paracontrolled distribution, which is defined by global but nonlocal operators. Our aim is to find an equivalence between these two notions. |
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