Renormalization of random models: a review

TL;DR

This paper reviews three key works on constructing random models for singular stochastic PDEs using the theory of regularity structures, highlighting recent advances in the field.

Contribution

It synthesizes and discusses recent developments in the renormalization of random models within regularity structures for singular SPDEs.

Findings

Summarizes three foundational works on random models

Highlights techniques for renormalization in regularity structures

Provides insights into the progress of singular SPDE analysis

Abstract

We give a review of three works on the construction of random models for singular stochastic partial differential equations within the theory of regularity structures.