KPZ equation in one dimension and line ensembles
arXiv:cond-mat/0504589 · doi:10.1007/BF02704147
Abstract
For suitably discretized versions of the Kardar-Parisi-Zhang equation in one space dimension exact scaling functions are available, amongst them the stationary two-point function. We explain one central piece from the technology through which such results are obtained, namely the method of line ensembles with purely entropic repulsion.
Proceedings STATPHYS22, Bangalore, 2004