Diagrammatic methods for stochastic estimates in regularity structures
- Ajay Chandra (Imperial College London)
These lectures will explain how multiscale methods developed for analysis of Feynman diagrams can be extended to prove stochastic estimates on renormalised products that are a crucial input for the theory of regularity structures.
I will not assume any knowledge of Feynman diagrams or renormalisation in these lectures and aim to clearly describe the power-counting that appears in the analysis of these diagrams.
Time permitting, I will discuss how these diagrammatic methods also allow the renormalization of the Sine-Gordon model in the subcritical regime.