A Rough Path to KPZ

This post is a collection of materials that are related to the KPZ equation. It is, in any measure, not complete. I just want to have a good repository of references on the subject. Also, it is a way for me to organize knowledge.

An unordered list of mathematicians appearing in the field (which is almost surely incomplete, updated as time goes forward; for quick referencing):

Introduction

Regularity Structures

The purpose of regularity structures, introduced in [Hai14] and motivated by [Lyo98, Gub04], is to generalise Taylor expansions using essentially arbitrary functions/distributions instead of polynomials.

Rough path results in regularity structures framework

References

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