Open AccessMathematics

Exactly solving the KPZ equation

Ivan Corwin

2018.4.16Proceedings of Symposia in Applied Mathematics

DOI: 10.1090/psapm/075/00661

tlooto Summary

The article presents a complete proof of the exact formula for the one-point distribution of the KPZ equation's narrow-wedge Hopf-Cole solution.

Abstract

We present a complete proof of the exact formula for the one-point distribution for the narrow-wedge Hopf-Cole solution to the Kardar-Parisi-Zhang (KPZ) equation. This presentation is intended to be self-contained so no previous knowledge about stochastic PDEs, or exactly solvable systems is presumed.

Citation format

CORWIN, Ivan. Exactly solving the KPZ equation [preprint]. arXiv, 2018. arXiv:1804.05721.