We explain how the claims of the KPZ scaling theory are confirmed by a recent proof of Borodin and Corwin on the asymptotics of the semi-discrete directed polymer.
@article{arxiv.1201.0645,
title = {KPZ Scaling Theory and the Semi-discrete Directed Polymer Model},
author = {Herbert Spohn},
journal= {arXiv preprint arXiv:1201.0645},
year = {2012}
}