Large deviations of the KPZ equation via the Stochastic Airy Operator

Abstract

In this article we review the ideas in Tsai (2018) toward proving the one-point, lower-tail large deviation principle for the Kardar--Parisi--Zhang equation.

arXiv comment15 pages, 1 figure; published in the proceedings of the conference Stochastic Analysis, Random Fields and Integrable Probability --- Fukuoka 201, ASPM vol. 87